Greatest Common Factor of 84/714, 960/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/714, 960/164

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 84/714,960/164

Given fractions are 84/714,960/164

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 84,960

Greatest Common Factor of Numerators i.e. GCF of 84,960 is 12 .

LCM of Denominators means LCM of 714,164 as per the given fractions.

LCM of 714,164 is 58548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,960

GCF of Fractions 84/714,960/164 is 12/58548

2 84, 960
2 42, 480
3 21, 240
7, 80

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 84,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,960 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 84,960 . The biggest common factor number is the GCF number.
So the greatest common factor 84,960 is 12.

Lets's calculate LCM of 714,164

2 714, 164
357, 82

∴ So the LCM of the given numbers is 2 x 357 x 82 = 58548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/58548

Therefore, the GCF of Fractions 84/714,960/164 is 12/58548

Least Common Multiple of 714,164 with GCF Formula

Least Common Multiple of 714,164 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 714,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,164) = 2

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

GCF(714,164) x common factors =2 x 1 = 2

LCM(714,164) = ( 714 × 164 ) / 2

LCM(714,164) = 117096 / 2

LCM(714,164) = 58548


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 84/714, 960/164

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 84/714, 960/164?

Answer: GCF of Numerators as per given numbers 84/714, 960/164 is

GCF of Numerators i.e. for 84,960 is 12

LCM of denominators i.e. for 714,164 is 58548.

Thus, GCF of Fractions is 12/58548.Finally, GCF of Fractions for 84/714, 960/164 is 12/58548.