Greatest Common Factor of 3212/607, 8984/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3212/607, 8984/102

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 3212/607,8984/102

Given fractions are 3212/607,8984/102

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3212,8984

Greatest Common Factor of Numerators i.e. GCF of 3212,8984 is 4 .

LCM of Denominators means LCM of 607,102 as per the given fractions.

LCM of 607,102 is 61914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3212,8984

GCF of Fractions 3212/607,8984/102 is 4/61914

2 3212, 8984
2 1606, 4492
803, 2246

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

Greatest Common Factor of 3212,8984 By Matching Biggest Common Factor Method

Greatest Common Factor of 3212,8984 By Matching Biggest Common Factor Method

Factors of 3212

List of positive integer factors of 3212 that divides 3212 without a remainder.

1,2,4,11,22,44,73,146,292,803,1606,3212

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors 3212,8984 . The biggest common factor number is the GCF number.
So the greatest common factor 3212,8984 is 4.

Lets's calculate LCM of 607,102

Given numbers has no common factors except 1. So, there LCM is their product i.e 61914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61914

Therefore, the GCF of Fractions 3212/607,8984/102 is 4/61914

Least Common Multiple of 607,102 with GCF Formula

Least Common Multiple of 607,102 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 607,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,102) = 1

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

GCF(607,102) x common factors =1 x 1 = 1

LCM(607,102) = ( 607 × 102 ) / 1

LCM(607,102) = 61914 / 1

LCM(607,102) = 61914


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3212/607, 8984/102

1. 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.

2. What is the GCF of Fractions for 3212/607, 8984/102?

Answer: GCF of Numerators as per given numbers 3212/607, 8984/102 is

GCF of Numerators i.e. for 3212,8984 is 4

LCM of denominators i.e. for 607,102 is 61914.

Thus, GCF of Fractions is 4/61914.Finally, GCF of Fractions for 3212/607, 8984/102 is 4/61914.