Greatest Common Factor of 60/862, 78/310, 666/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/862, 78/310, 666/283

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 60/862,78/310,666/283

Given fractions are 60/862,78/310,666/283

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 60,78,666

Greatest Common Factor of Numerators i.e. GCF of 60,78,666 is 6 .

LCM of Denominators means LCM of 862,310,283 as per the given fractions.

LCM of 862,310,283 is 37811630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,78,666

GCF of Fractions 60/862,78/310,666/283 is 6/37811630

2 60, 78, 666
3 30, 39, 333
10, 13, 111

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 60,78,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,78,666 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 60,78,666 . The biggest common factor number is the GCF number.
So the greatest common factor 60,78,666 is 6.

Lets's calculate LCM of 862,310,283

2 862, 310, 283
431, 155, 283

∴ So the LCM of the given numbers is 2 x 431 x 155 x 283 = 37811630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/37811630

Therefore, the GCF of Fractions 60/862,78/310,666/283 is 6/37811630

Least Common Multiple of 862,310,283 with GCF Formula

Least Common Multiple of 862,310,283 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 862,310,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,310,283) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(862,310,283) x common factors =1 x 2 = 2

LCM(862,310,283) = ( 862 × 310 × 283 ) / 2

LCM(862,310,283) = 75623260 / 2

LCM(862,310,283) = 37811630


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 60/862, 78/310, 666/283

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 60/862, 78/310, 666/283?

Answer: GCF of Numerators as per given numbers 60/862, 78/310, 666/283 is

GCF of Numerators i.e. for 60,78,666 is 6

LCM of denominators i.e. for 862,310,283 is 37811630.

Thus, GCF of Fractions is 6/37811630.Finally, GCF of Fractions for 60/862, 78/310, 666/283 is 6/37811630.