Greatest Common Factor of 10/41, 512/35, 126/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/41, 512/35, 126/176

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 10/41,512/35,126/176

Given fractions are 10/41,512/35,126/176

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 10,512,126

Greatest Common Factor of Numerators i.e. GCF of 10,512,126 is 2 .

LCM of Denominators means LCM of 41,35,176 as per the given fractions.

LCM of 41,35,176 is 252560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,512,126

GCF of Fractions 10/41,512/35,126/176 is 2/252560

2 10, 512, 126
5, 256, 63

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,512,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,512,126 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 10,512,126 . The biggest common factor number is the GCF number.
So the greatest common factor 10,512,126 is 2.

Lets's calculate LCM of 41,35,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 252560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/252560

Therefore, the GCF of Fractions 10/41,512/35,126/176 is 2/252560

Least Common Multiple of 41,35,176 with GCF Formula

Least Common Multiple of 41,35,176 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 41,35,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,35,176) = 1

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

GCF(41,35,176) x common factors =1 x 1 = 1

LCM(41,35,176) = ( 41 × 35 × 176 ) / 1

LCM(41,35,176) = 252560 / 1

LCM(41,35,176) = 252560


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 10/41, 512/35, 126/176

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 10/41, 512/35, 126/176?

Answer: GCF of Numerators as per given numbers 10/41, 512/35, 126/176 is

GCF of Numerators i.e. for 10,512,126 is 2

LCM of denominators i.e. for 41,35,176 is 252560.

Thus, GCF of Fractions is 2/252560.Finally, GCF of Fractions for 10/41, 512/35, 126/176 is 2/252560.