Greatest Common Factor of 47/64, 34/756, 826/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/64, 34/756, 826/555

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 47/64,34/756,826/555

Given fractions are 47/64,34/756,826/555

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 47,34,826

Greatest Common Factor of Numerators i.e. GCF of 47,34,826 is 1 .

LCM of Denominators means LCM of 64,756,555 as per the given fractions.

LCM of 64,756,555 is 2237760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,34,826

GCF of Fractions 47/64,34/756,826/555 is 1/2237760

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

Greatest Common Factor of 47,34,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,34,826 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 826

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

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

Greatest Common Factor

We found the factors 47,34,826 . The biggest common factor number is the GCF number.
So the greatest common factor 47,34,826 is 1.

Lets's calculate LCM of 64,756,555

2 64, 756, 555
2 32, 378, 555
3 16, 189, 555
16, 63, 185

∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 63 x 185 = 2237760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2237760

Therefore, the GCF of Fractions 47/64,34/756,826/555 is 1/2237760

Least Common Multiple of 64,756,555 with GCF Formula

Least Common Multiple of 64,756,555 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 64,756,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,756,555) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(64,756,555) x common factors =1 x 12 = 12

LCM(64,756,555) = ( 64 × 756 × 555 ) / 12

LCM(64,756,555) = 26853120 / 12

LCM(64,756,555) = 2237760


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 47/64, 34/756, 826/555

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 47/64, 34/756, 826/555?

Answer: GCF of Numerators as per given numbers 47/64, 34/756, 826/555 is

GCF of Numerators i.e. for 47,34,826 is 1

LCM of denominators i.e. for 64,756,555 is 2237760.

Thus, GCF of Fractions is 1/2237760.Finally, GCF of Fractions for 47/64, 34/756, 826/555 is 1/2237760.