Greatest Common Factor of 3704/626, 9152/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3704/626, 9152/989

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 3704/626,9152/989

Given fractions are 3704/626,9152/989

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 3704,9152

Greatest Common Factor of Numerators i.e. GCF of 3704,9152 is 8 .

LCM of Denominators means LCM of 626,989 as per the given fractions.

LCM of 626,989 is 619114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3704,9152

GCF of Fractions 3704/626,9152/989 is 8/619114

2 3704, 9152
2 1852, 4576
2 926, 2288
463, 1144

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3704,9152 By Matching Biggest Common Factor Method

Greatest Common Factor of 3704,9152 By Matching Biggest Common Factor Method

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1,2,4,8,463,926,1852,3704

Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152

Greatest Common Factor

We found the factors 3704,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 3704,9152 is 8.

Lets's calculate LCM of 626,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 619114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/619114

Therefore, the GCF of Fractions 3704/626,9152/989 is 8/619114

Least Common Multiple of 626,989 with GCF Formula

Least Common Multiple of 626,989 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 626,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,989) = 1

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

GCF(626,989) x common factors =1 x 1 = 1

LCM(626,989) = ( 626 × 989 ) / 1

LCM(626,989) = 619114 / 1

LCM(626,989) = 619114


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 3704/626, 9152/989

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 3704/626, 9152/989?

Answer: GCF of Numerators as per given numbers 3704/626, 9152/989 is

GCF of Numerators i.e. for 3704,9152 is 8

LCM of denominators i.e. for 626,989 is 619114.

Thus, GCF of Fractions is 8/619114.Finally, GCF of Fractions for 3704/626, 9152/989 is 8/619114.