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GCF of 9885/949, 4502/3919

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 9885/949, 4502/3919 i.e 1/3719131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9885/949, 4502/3919.

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 9885/949,4502/3919?

Given fractions are 9885/949,4502/3919

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 9885/949,4502/3919, numerators are 9885,4502

Denominators are 949,3919

The GCF of 9885,4502 is 1 .

LCM of 949,3919 is 3719131.

The greatest common factor of 9885/949,4502/3919 = [GCF of 9885,4502]/[LCM of 949,3919]= 1/3719131

Therefore, the GCF of 9885/949,4502/3919 is 1/3719131.

Greatest Common Factor of 9885,4502

To find the highest common factor of 9885,4502, we have to find the factors of both numbers and list the highest common factor.

The factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885

The factors of 4502 are 1, 2, 2251, 4502

The HCF of 9885,4502 is 1.

Lets's calculate GCF of 9885,4502

Greatest Common Factor (GCF) of 9885,4502 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9885,4502 By Matching Biggest Common Factor Method

Greatest Common Factor of 9885,4502 By Matching Biggest Common Factor Method

Now, list down the factors of 9885

:

1,3,5,15,659,1977,3295,9885

Now, list down the factors of 4502

:

1,2,2251,4502

Greatest Common Factor

We found the factors 9885,4502 . The biggest common factor number is the GCF number.
So the greatest common factor 9885,4502 is 1.


Lets's calculate LCM of 949,3919

Lowest Common Multiple of 949,3919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3719131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3719131

Therefore, the GCF of Fractions 9885/949,4502/3919 is 1/3719131

Least Common Multiple of 949,3919 with GCF Formula

Least Common Multiple of 949,3919 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 949,3919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,3919) = 1

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

GCF(949,3919) x common factors =1 x 1 = 1

LCM(949,3919) = ( 949 × 3919 ) / 1

LCM(949,3919) = 3719131 / 1

LCM(949,3919) = 3719131


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9885/949, 4502/3919

1. What is the HCF of 9885,4502?

The HCF of 9885,4502 is 1

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 9885/949, 4502/3919?

Answer: GCF of Numerators as per given numbers 9885/949, 4502/3919 is

GCF of Numerators i.e. for 9885,4502 is 1

LCM of denominators i.e. for 949,3919 is 3719131.

Thus, GCF of Fractions is 1/3719131.Finally, GCF of Fractions for 9885/949, 4502/3919 is 1/3719131.