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 2562/650, 9567/3184

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 2562/650, 9567/3184 i.e 3/1034800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2562/650, 9567/3184.

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 2562/650,9567/3184?

Given fractions are 2562/650,9567/3184

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 2562/650,9567/3184, numerators are 2562,9567

Denominators are 650,3184

The GCF of 2562,9567 is 3 .

LCM of 650,3184 is 1034800.

The greatest common factor of 2562/650,9567/3184 = [GCF of 2562,9567]/[LCM of 650,3184]= 3/1034800

Therefore, the GCF of 2562/650,9567/3184 is 3/1034800.

Greatest Common Factor of 2562,9567

To find the highest common factor of 2562,9567, we have to find the factors of both numbers and list the highest common factor.

The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562

The factors of 9567 are 1, 3, 9, 1063, 3189, 9567

The HCF of 2562,9567 is 3.

Lets's calculate GCF of 2562,9567

Greatest Common Factor (GCF) of 2562,9567 By Common Division

3 2562, 9567
854, 3189

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2562,9567 By Matching Biggest Common Factor Method

Greatest Common Factor of 2562,9567 By Matching Biggest Common Factor Method

Now, list down the factors of 2562

:

1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562

Now, list down the factors of 9567

:

1,3,9,1063,3189,9567

Greatest Common Factor

We found the factors 2562,9567 . The biggest common factor number is the GCF number.
So the greatest common factor 2562,9567 is 3.


Lets's calculate LCM of 650,3184

Lowest Common Multiple of 650,3184 using Common Division

2 650, 3184
325, 1592

∴ So the LCM of the given numbers is 2 x 325 x 1592 = 1034800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1034800

Therefore, the GCF of Fractions 2562/650,9567/3184 is 3/1034800

Least Common Multiple of 650,3184 with GCF Formula

Least Common Multiple of 650,3184 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 650,3184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,3184) = 2

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

GCF(650,3184) x common factors =2 x 1 = 2

LCM(650,3184) = ( 650 × 3184 ) / 2

LCM(650,3184) = 2069600 / 2

LCM(650,3184) = 1034800


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2562/650, 9567/3184

1. What is the HCF of 2562,9567?

The HCF of 2562,9567 is 3

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 2562/650, 9567/3184?

Answer: GCF of Numerators as per given numbers 2562/650, 9567/3184 is

GCF of Numerators i.e. for 2562,9567 is 3

LCM of denominators i.e. for 650,3184 is 1034800.

Thus, GCF of Fractions is 3/1034800.Finally, GCF of Fractions for 2562/650, 9567/3184 is 3/1034800.