Greatest Common Factor of 857/65, 698/13, 549/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 857/65, 698/13, 549/763

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 857/65,698/13,549/763

Given fractions are 857/65,698/13,549/763

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 857,698,549

Greatest Common Factor of Numerators i.e. GCF of 857,698,549 is 1 .

LCM of Denominators means LCM of 65,13,763 as per the given fractions.

LCM of 65,13,763 is 49595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 857,698,549

GCF of Fractions 857/65,698/13,549/763 is 1/49595

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

Greatest Common Factor of 857,698,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,698,549 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 857,698,549 . The biggest common factor number is the GCF number.
So the greatest common factor 857,698,549 is 1.

Lets's calculate LCM of 65,13,763

13 65, 13, 763
5, 1, 763

∴ So the LCM of the given numbers is 13 x 5 x 1 x 763 = 49595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49595

Therefore, the GCF of Fractions 857/65,698/13,549/763 is 1/49595

Least Common Multiple of 65,13,763 with GCF Formula

Least Common Multiple of 65,13,763 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 65,13,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,13,763) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,13,763) x common factors =1 x 13 = 13

LCM(65,13,763) = ( 65 × 13 × 763 ) / 13

LCM(65,13,763) = 644735 / 13

LCM(65,13,763) = 49595


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 857/65, 698/13, 549/763

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 857/65, 698/13, 549/763?

Answer: GCF of Numerators as per given numbers 857/65, 698/13, 549/763 is

GCF of Numerators i.e. for 857,698,549 is 1

LCM of denominators i.e. for 65,13,763 is 49595.

Thus, GCF of Fractions is 1/49595.Finally, GCF of Fractions for 857/65, 698/13, 549/763 is 1/49595.