Greatest Common Factor of 3437/892, 2372/8947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3437/892, 2372/8947

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 3437/892,2372/8947

Given fractions are 3437/892,2372/8947

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 3437,2372

Greatest Common Factor of Numerators i.e. GCF of 3437,2372 is 1 .

LCM of Denominators means LCM of 892,8947 as per the given fractions.

LCM of 892,8947 is 7980724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3437,2372

GCF of Fractions 3437/892,2372/8947 is 1/7980724

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

Greatest Common Factor of 3437,2372 By Matching Biggest Common Factor Method

Greatest Common Factor of 3437,2372 By Matching Biggest Common Factor Method

Factors of 3437

List of positive integer factors of 3437 that divides 3437 without a remainder.

1,7,491,3437

Factors of 2372

List of positive integer factors of 2372 that divides 2372 without a remainder.

1,2,4,593,1186,2372

Greatest Common Factor

We found the factors 3437,2372 . The biggest common factor number is the GCF number.
So the greatest common factor 3437,2372 is 1.

Lets's calculate LCM of 892,8947

Given numbers has no common factors except 1. So, there LCM is their product i.e 7980724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7980724

Therefore, the GCF of Fractions 3437/892,2372/8947 is 1/7980724

Least Common Multiple of 892,8947 with GCF Formula

Least Common Multiple of 892,8947 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 892,8947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,8947) = 1

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

GCF(892,8947) x common factors =1 x 1 = 1

LCM(892,8947) = ( 892 × 8947 ) / 1

LCM(892,8947) = 7980724 / 1

LCM(892,8947) = 7980724


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 3437/892, 2372/8947

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 3437/892, 2372/8947?

Answer: GCF of Numerators as per given numbers 3437/892, 2372/8947 is

GCF of Numerators i.e. for 3437,2372 is 1

LCM of denominators i.e. for 892,8947 is 7980724.

Thus, GCF of Fractions is 1/7980724.Finally, GCF of Fractions for 3437/892, 2372/8947 is 1/7980724.