Greatest Common Factor of 842/66, 707/53, 152/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 842/66, 707/53, 152/179

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 842/66,707/53,152/179

Given fractions are 842/66,707/53,152/179

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 842,707,152

Greatest Common Factor of Numerators i.e. GCF of 842,707,152 is 1 .

LCM of Denominators means LCM of 66,53,179 as per the given fractions.

LCM of 66,53,179 is 626142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 842,707,152

GCF of Fractions 842/66,707/53,152/179 is 1/626142

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

Greatest Common Factor of 842,707,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,707,152 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 842,707,152 . The biggest common factor number is the GCF number.
So the greatest common factor 842,707,152 is 1.

Lets's calculate LCM of 66,53,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 626142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626142

Therefore, the GCF of Fractions 842/66,707/53,152/179 is 1/626142

Least Common Multiple of 66,53,179 with GCF Formula

Least Common Multiple of 66,53,179 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 66,53,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,53,179) = 1

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

GCF(66,53,179) x common factors =1 x 1 = 1

LCM(66,53,179) = ( 66 × 53 × 179 ) / 1

LCM(66,53,179) = 626142 / 1

LCM(66,53,179) = 626142


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 842/66, 707/53, 152/179

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 842/66, 707/53, 152/179?

Answer: GCF of Numerators as per given numbers 842/66, 707/53, 152/179 is

GCF of Numerators i.e. for 842,707,152 is 1

LCM of denominators i.e. for 66,53,179 is 626142.

Thus, GCF of Fractions is 1/626142.Finally, GCF of Fractions for 842/66, 707/53, 152/179 is 1/626142.