Greatest Common Factor of 176/79, 313/13, 201/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 176/79, 313/13, 201/929

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 176/79,313/13,201/929

Given fractions are 176/79,313/13,201/929

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 176,313,201

Greatest Common Factor of Numerators i.e. GCF of 176,313,201 is 1 .

LCM of Denominators means LCM of 79,13,929 as per the given fractions.

LCM of 79,13,929 is 954083 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 176,313,201

GCF of Fractions 176/79,313/13,201/929 is 1/954083

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

Greatest Common Factor of 176,313,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,313,201 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 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 176,313,201 . The biggest common factor number is the GCF number.
So the greatest common factor 176,313,201 is 1.


Lets's calculate LCM of 79,13,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 954083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954083

Therefore, the GCF of Fractions 176/79,313/13,201/929 is 1/954083

Least Common Multiple of 79,13,929 with GCF Formula

Least Common Multiple of 79,13,929 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 79,13,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,13,929) = 1

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

GCF(79,13,929) x common factors =1 x 1 = 1

LCM(79,13,929) = ( 79 × 13 × 929 ) / 1

LCM(79,13,929) = 954083 / 1

LCM(79,13,929) = 954083


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 176/79, 313/13, 201/929

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 176/79, 313/13, 201/929?

Answer: GCF of Numerators as per given numbers 176/79, 313/13, 201/929 is

GCF of Numerators i.e. for 176,313,201 is 1

LCM of denominators i.e. for 79,13,929 is 954083.

Thus, GCF of Fractions is 1/954083.Finally, GCF of Fractions for 176/79, 313/13, 201/929 is 1/954083.