Greatest Common Factor of 854/46, 252/15, 106/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 854/46, 252/15, 106/565

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 854/46,252/15,106/565

Given fractions are 854/46,252/15,106/565

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 854,252,106

Greatest Common Factor of Numerators i.e. GCF of 854,252,106 is 2 .

LCM of Denominators means LCM of 46,15,565 as per the given fractions.

LCM of 46,15,565 is 77970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 854,252,106

GCF of Fractions 854/46,252/15,106/565 is 2/77970

2 854, 252, 106
427, 126, 53

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 854,252,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,252,106 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 854,252,106 . The biggest common factor number is the GCF number.
So the greatest common factor 854,252,106 is 2.

Lets's calculate LCM of 46,15,565

5 46, 15, 565
46, 3, 113

∴ So the LCM of the given numbers is 5 x 46 x 3 x 113 = 77970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77970

Therefore, the GCF of Fractions 854/46,252/15,106/565 is 2/77970

Least Common Multiple of 46,15,565 with GCF Formula

Least Common Multiple of 46,15,565 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 46,15,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,15,565) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(46,15,565) x common factors =1 x 5 = 5

LCM(46,15,565) = ( 46 × 15 × 565 ) / 5

LCM(46,15,565) = 389850 / 5

LCM(46,15,565) = 77970


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 854/46, 252/15, 106/565

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 854/46, 252/15, 106/565?

Answer: GCF of Numerators as per given numbers 854/46, 252/15, 106/565 is

GCF of Numerators i.e. for 854,252,106 is 2

LCM of denominators i.e. for 46,15,565 is 77970.

Thus, GCF of Fractions is 2/77970.Finally, GCF of Fractions for 854/46, 252/15, 106/565 is 2/77970.