Greatest Common Factor of 176/71, 242/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 176/71, 242/546

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 176/71,242/546

Given fractions are 176/71,242/546

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 176,242

Greatest Common Factor of Numerators i.e. GCF of 176,242 is 22 .

LCM of Denominators means LCM of 71,546 as per the given fractions.

LCM of 71,546 is 38766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 176,242

GCF of Fractions 176/71,242/546 is 22/38766

2 176, 242
11 88, 121
8, 11

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 176,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,242 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 176,242 . The biggest common factor number is the GCF number.
So the greatest common factor 176,242 is 22.

Lets's calculate LCM of 71,546

Given numbers has no common factors except 1. So, there LCM is their product i.e 38766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/38766

Therefore, the GCF of Fractions 176/71,242/546 is 22/38766

Least Common Multiple of 71,546 with GCF Formula

Least Common Multiple of 71,546 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 71,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,546) = 1

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

GCF(71,546) x common factors =1 x 1 = 1

LCM(71,546) = ( 71 × 546 ) / 1

LCM(71,546) = 38766 / 1

LCM(71,546) = 38766


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 176/71, 242/546

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 176/71, 242/546?

Answer: GCF of Numerators as per given numbers 176/71, 242/546 is

GCF of Numerators i.e. for 176,242 is 22

LCM of denominators i.e. for 71,546 is 38766.

Thus, GCF of Fractions is 22/38766.Finally, GCF of Fractions for 176/71, 242/546 is 22/38766.