Greatest Common Factor of 61/277, 69/516, 785/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/277, 69/516, 785/164

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 61/277,69/516,785/164

Given fractions are 61/277,69/516,785/164

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 61,69,785

Greatest Common Factor of Numerators i.e. GCF of 61,69,785 is 1 .

LCM of Denominators means LCM of 277,516,164 as per the given fractions.

LCM of 277,516,164 is 5860212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,69,785

GCF of Fractions 61/277,69/516,785/164 is 1/5860212

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

Greatest Common Factor of 61,69,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,69,785 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 61,69,785 . The biggest common factor number is the GCF number.
So the greatest common factor 61,69,785 is 1.

Lets's calculate LCM of 277,516,164

2 277, 516, 164
2 277, 258, 82
277, 129, 41

∴ So the LCM of the given numbers is 2 x 2 x 277 x 129 x 41 = 5860212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5860212

Therefore, the GCF of Fractions 61/277,69/516,785/164 is 1/5860212

Least Common Multiple of 277,516,164 with GCF Formula

Least Common Multiple of 277,516,164 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 277,516,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,516,164) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(277,516,164) x common factors =1 x 4 = 4

LCM(277,516,164) = ( 277 × 516 × 164 ) / 4

LCM(277,516,164) = 23440848 / 4

LCM(277,516,164) = 5860212


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 61/277, 69/516, 785/164

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 61/277, 69/516, 785/164?

Answer: GCF of Numerators as per given numbers 61/277, 69/516, 785/164 is

GCF of Numerators i.e. for 61,69,785 is 1

LCM of denominators i.e. for 277,516,164 is 5860212.

Thus, GCF of Fractions is 1/5860212.Finally, GCF of Fractions for 61/277, 69/516, 785/164 is 1/5860212.