Greatest Common Factor of 2471/86, 5698/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2471/86, 5698/917

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 2471/86,5698/917

Given fractions are 2471/86,5698/917

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 2471,5698

Greatest Common Factor of Numerators i.e. GCF of 2471,5698 is 7 .

LCM of Denominators means LCM of 86,917 as per the given fractions.

LCM of 86,917 is 78862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2471,5698

GCF of Fractions 2471/86,5698/917 is 7/78862

7 2471, 5698
353, 814

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2471,5698 By Matching Biggest Common Factor Method

Greatest Common Factor of 2471,5698 By Matching Biggest Common Factor Method

Factors of 2471

List of positive integer factors of 2471 that divides 2471 without a remainder.

1,7,353,2471

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Greatest Common Factor

We found the factors 2471,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 2471,5698 is 7.

Lets's calculate LCM of 86,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 78862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/78862

Therefore, the GCF of Fractions 2471/86,5698/917 is 7/78862

Least Common Multiple of 86,917 with GCF Formula

Least Common Multiple of 86,917 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 86,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,917) = 1

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

GCF(86,917) x common factors =1 x 1 = 1

LCM(86,917) = ( 86 × 917 ) / 1

LCM(86,917) = 78862 / 1

LCM(86,917) = 78862


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 2471/86, 5698/917

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 2471/86, 5698/917?

Answer: GCF of Numerators as per given numbers 2471/86, 5698/917 is

GCF of Numerators i.e. for 2471,5698 is 7

LCM of denominators i.e. for 86,917 is 78862.

Thus, GCF of Fractions is 7/78862.Finally, GCF of Fractions for 2471/86, 5698/917 is 7/78862.