Greatest Common Factor of 4097/536, 6902/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4097/536, 6902/745

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 4097/536,6902/745

Given fractions are 4097/536,6902/745

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 4097,6902

Greatest Common Factor of Numerators i.e. GCF of 4097,6902 is 17 .

LCM of Denominators means LCM of 536,745 as per the given fractions.

LCM of 536,745 is 399320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4097,6902

GCF of Fractions 4097/536,6902/745 is 17/399320

17 4097, 6902
241, 406

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 4097,6902 By Matching Biggest Common Factor Method

Greatest Common Factor of 4097,6902 By Matching Biggest Common Factor Method

Factors of 4097

List of positive integer factors of 4097 that divides 4097 without a remainder.

1,17,241,4097

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 4097,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 4097,6902 is 17.

Lets's calculate LCM of 536,745

Given numbers has no common factors except 1. So, there LCM is their product i.e 399320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/399320

Therefore, the GCF of Fractions 4097/536,6902/745 is 17/399320

Least Common Multiple of 536,745 with GCF Formula

Least Common Multiple of 536,745 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 536,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,745) = 1

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

GCF(536,745) x common factors =1 x 1 = 1

LCM(536,745) = ( 536 × 745 ) / 1

LCM(536,745) = 399320 / 1

LCM(536,745) = 399320


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 4097/536, 6902/745

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 4097/536, 6902/745?

Answer: GCF of Numerators as per given numbers 4097/536, 6902/745 is

GCF of Numerators i.e. for 4097,6902 is 17

LCM of denominators i.e. for 536,745 is 399320.

Thus, GCF of Fractions is 17/399320.Finally, GCF of Fractions for 4097/536, 6902/745 is 17/399320.