Greatest Common Factor of 61/306, 687/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/306, 687/852

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 61/306,687/852

Given fractions are 61/306,687/852

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 61,687

Greatest Common Factor of Numerators i.e. GCF of 61,687 is 1 .

LCM of Denominators means LCM of 306,852 as per the given fractions.

LCM of 306,852 is 43452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,687

GCF of Fractions 61/306,687/852 is 1/43452

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

Greatest Common Factor of 61,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,687 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 61,687 . The biggest common factor number is the GCF number.
So the greatest common factor 61,687 is 1.

Lets's calculate LCM of 306,852

2 306, 852
3 153, 426
51, 142

∴ So the LCM of the given numbers is 2 x 3 x 51 x 142 = 43452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43452

Therefore, the GCF of Fractions 61/306,687/852 is 1/43452

Least Common Multiple of 306,852 with GCF Formula

Least Common Multiple of 306,852 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 306,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,852) = 6

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

GCF(306,852) x common factors =6 x 1 = 6

LCM(306,852) = ( 306 × 852 ) / 6

LCM(306,852) = 260712 / 6

LCM(306,852) = 43452


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 61/306, 687/852

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 61/306, 687/852?

Answer: GCF of Numerators as per given numbers 61/306, 687/852 is

GCF of Numerators i.e. for 61,687 is 1

LCM of denominators i.e. for 306,852 is 43452.

Thus, GCF of Fractions is 1/43452.Finally, GCF of Fractions for 61/306, 687/852 is 1/43452.