Greatest Common Factor of 912/336, 8879/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 912/336, 8879/170

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 912/336,8879/170

Given fractions are 912/336,8879/170

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 912,8879

Greatest Common Factor of Numerators i.e. GCF of 912,8879 is 1 .

LCM of Denominators means LCM of 336,170 as per the given fractions.

LCM of 336,170 is 28560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 912,8879

GCF of Fractions 912/336,8879/170 is 1/28560

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

Greatest Common Factor of 912,8879 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,8879 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 8879

List of positive integer factors of 8879 that divides 8879 without a remainder.

1,13,683,8879

Greatest Common Factor

We found the factors 912,8879 . The biggest common factor number is the GCF number.
So the greatest common factor 912,8879 is 1.

Lets's calculate LCM of 336,170

2 336, 170
168, 85

∴ So the LCM of the given numbers is 2 x 168 x 85 = 28560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28560

Therefore, the GCF of Fractions 912/336,8879/170 is 1/28560

Least Common Multiple of 336,170 with GCF Formula

Least Common Multiple of 336,170 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 336,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,170) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(336,170) x common factors =2 x 1 = 2

LCM(336,170) = ( 336 × 170 ) / 2

LCM(336,170) = 57120 / 2

LCM(336,170) = 28560


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 912/336, 8879/170

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 912/336, 8879/170?

Answer: GCF of Numerators as per given numbers 912/336, 8879/170 is

GCF of Numerators i.e. for 912,8879 is 1

LCM of denominators i.e. for 336,170 is 28560.

Thus, GCF of Fractions is 1/28560.Finally, GCF of Fractions for 912/336, 8879/170 is 1/28560.