Greatest Common Factor of 5686/85, 9707/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5686/85, 9707/752

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 5686/85,9707/752

Given fractions are 5686/85,9707/752

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 5686,9707

Greatest Common Factor of Numerators i.e. GCF of 5686,9707 is 1 .

LCM of Denominators means LCM of 85,752 as per the given fractions.

LCM of 85,752 is 63920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5686,9707

GCF of Fractions 5686/85,9707/752 is 1/63920

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

Greatest Common Factor of 5686,9707 By Matching Biggest Common Factor Method

Greatest Common Factor of 5686,9707 By Matching Biggest Common Factor Method

Factors of 5686

List of positive integer factors of 5686 that divides 5686 without a remainder.

1,2,2843,5686

Factors of 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1,17,571,9707

Greatest Common Factor

We found the factors 5686,9707 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,9707 is 1.

Lets's calculate LCM of 85,752

Given numbers has no common factors except 1. So, there LCM is their product i.e 63920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63920

Therefore, the GCF of Fractions 5686/85,9707/752 is 1/63920

Least Common Multiple of 85,752 with GCF Formula

Least Common Multiple of 85,752 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 85,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,752) = 1

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

GCF(85,752) x common factors =1 x 1 = 1

LCM(85,752) = ( 85 × 752 ) / 1

LCM(85,752) = 63920 / 1

LCM(85,752) = 63920


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 5686/85, 9707/752

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 5686/85, 9707/752?

Answer: GCF of Numerators as per given numbers 5686/85, 9707/752 is

GCF of Numerators i.e. for 5686,9707 is 1

LCM of denominators i.e. for 85,752 is 63920.

Thus, GCF of Fractions is 1/63920.Finally, GCF of Fractions for 5686/85, 9707/752 is 1/63920.