Greatest Common Factor of 3432/10, 4124/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3432/10, 4124/620

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 3432/10,4124/620

Given fractions are 3432/10,4124/620

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 3432,4124

Greatest Common Factor of Numerators i.e. GCF of 3432,4124 is 4 .

LCM of Denominators means LCM of 10,620 as per the given fractions.

LCM of 10,620 is 620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3432,4124

GCF of Fractions 3432/10,4124/620 is 4/620

2 3432, 4124
2 1716, 2062
858, 1031

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

Greatest Common Factor of 3432,4124 By Matching Biggest Common Factor Method

Greatest Common Factor of 3432,4124 By Matching Biggest Common Factor Method

Factors of 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Factors of 4124

List of positive integer factors of 4124 that divides 4124 without a remainder.

1,2,4,1031,2062,4124

Greatest Common Factor

We found the factors 3432,4124 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,4124 is 4.

Lets's calculate LCM of 10,620

2 10, 620
5 5, 310
1, 62

∴ So the LCM of the given numbers is 2 x 5 x 1 x 62 = 620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/620

Therefore, the GCF of Fractions 3432/10,4124/620 is 4/620

Least Common Multiple of 10,620 with GCF Formula

Least Common Multiple of 10,620 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 10,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,620) = 10

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

GCF(10,620) x common factors =10 x 1 = 10

LCM(10,620) = ( 10 × 620 ) / 10

LCM(10,620) = 6200 / 10

LCM(10,620) = 620


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 3432/10, 4124/620

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 3432/10, 4124/620?

Answer: GCF of Numerators as per given numbers 3432/10, 4124/620 is

GCF of Numerators i.e. for 3432,4124 is 4

LCM of denominators i.e. for 10,620 is 620.

Thus, GCF of Fractions is 4/620.Finally, GCF of Fractions for 3432/10, 4124/620 is 4/620.