Greatest Common Factor of 795/824, 826/781, 757/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/824, 826/781, 757/412

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 795/824,826/781,757/412

Given fractions are 795/824,826/781,757/412

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 795,826,757

Greatest Common Factor of Numerators i.e. GCF of 795,826,757 is 1 .

LCM of Denominators means LCM of 824,781,412 as per the given fractions.

LCM of 824,781,412 is 643544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,826,757

GCF of Fractions 795/824,826/781,757/412 is 1/643544

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

Greatest Common Factor of 795,826,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,826,757 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 795,826,757 . The biggest common factor number is the GCF number.
So the greatest common factor 795,826,757 is 1.

Lets's calculate LCM of 824,781,412

2 824, 781, 412
2 412, 781, 206
103 103, 781, 206
1, 781, 2

∴ So the LCM of the given numbers is 2 x 2 x 103 x 1 x 781 x 2 = 643544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643544

Therefore, the GCF of Fractions 795/824,826/781,757/412 is 1/643544

Least Common Multiple of 824,781,412 with GCF Formula

Least Common Multiple of 824,781,412 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 824,781,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,781,412) = 1

common factors(in case of two or more numbers have common factors) = 412

GCF(824,781,412) x common factors =1 x 412 = 412

LCM(824,781,412) = ( 824 × 781 × 412 ) / 412

LCM(824,781,412) = 265140128 / 412

LCM(824,781,412) = 643544


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 795/824, 826/781, 757/412

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 795/824, 826/781, 757/412?

Answer: GCF of Numerators as per given numbers 795/824, 826/781, 757/412 is

GCF of Numerators i.e. for 795,826,757 is 1

LCM of denominators i.e. for 824,781,412 is 643544.

Thus, GCF of Fractions is 1/643544.Finally, GCF of Fractions for 795/824, 826/781, 757/412 is 1/643544.