LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9484/276, 1620/3608

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 9484/276, 1620/3608 i.e 4/248952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9484/276, 1620/3608.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9484/276,1620/3608?

Given fractions are 9484/276,1620/3608

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9484/276,1620/3608, numerators are 9484,1620

Denominators are 276,3608

The GCF of 9484,1620 is 4 .

LCM of 276,3608 is 248952.

The greatest common factor of 9484/276,1620/3608 = [GCF of 9484,1620]/[LCM of 276,3608]= 4/248952

Therefore, the GCF of 9484/276,1620/3608 is 4/248952.

Greatest Common Factor of 9484,1620

To find the highest common factor of 9484,1620, we have to find the factors of both numbers and list the highest common factor.

The factors of 9484 are 1, 2, 4, 2371, 4742, 9484

The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620

The HCF of 9484,1620 is 4.

Lets's calculate GCF of 9484,1620

Greatest Common Factor (GCF) of 9484,1620 By Common Division

2 9484, 1620
2 4742, 810
2371, 405

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9484,1620 By Matching Biggest Common Factor Method

Greatest Common Factor of 9484,1620 By Matching Biggest Common Factor Method

Now, list down the factors of 9484

:

1,2,4,2371,4742,9484

Now, list down the factors of 1620

:

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620

Greatest Common Factor

We found the factors 9484,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 9484,1620 is 4.


Lets's calculate LCM of 276,3608

Lowest Common Multiple of 276,3608 using Common Division

2 276, 3608
2 138, 1804
69, 902

∴ So the LCM of the given numbers is 2 x 2 x 69 x 902 = 248952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/248952

Therefore, the GCF of Fractions 9484/276,1620/3608 is 4/248952

Least Common Multiple of 276,3608 with GCF Formula

Least Common Multiple of 276,3608 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 276,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,3608) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(276,3608) x common factors =4 x 1 = 4

LCM(276,3608) = ( 276 × 3608 ) / 4

LCM(276,3608) = 995808 / 4

LCM(276,3608) = 248952


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9484/276, 1620/3608

1. What is the HCF of 9484,1620?

The HCF of 9484,1620 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9484/276, 1620/3608?

Answer: GCF of Numerators as per given numbers 9484/276, 1620/3608 is

GCF of Numerators i.e. for 9484,1620 is 4

LCM of denominators i.e. for 276,3608 is 248952.

Thus, GCF of Fractions is 4/248952.Finally, GCF of Fractions for 9484/276, 1620/3608 is 4/248952.