Greatest Common Factor of 31/495, 341/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/495, 341/670

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 31/495,341/670

Given fractions are 31/495,341/670

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 31,341

Greatest Common Factor of Numerators i.e. GCF of 31,341 is 31 .

LCM of Denominators means LCM of 495,670 as per the given fractions.

LCM of 495,670 is 66330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,341

GCF of Fractions 31/495,341/670 is 31/66330

31 31, 341
1, 11

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 31,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,341 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 31,341 . The biggest common factor number is the GCF number.
So the greatest common factor 31,341 is 31.

Lets's calculate LCM of 495,670

5 495, 670
99, 134

∴ So the LCM of the given numbers is 5 x 99 x 134 = 66330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/66330

Therefore, the GCF of Fractions 31/495,341/670 is 31/66330

Least Common Multiple of 495,670 with GCF Formula

Least Common Multiple of 495,670 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 495,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,670) = 5

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

GCF(495,670) x common factors =5 x 1 = 5

LCM(495,670) = ( 495 × 670 ) / 5

LCM(495,670) = 331650 / 5

LCM(495,670) = 66330


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 31/495, 341/670

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 31/495, 341/670?

Answer: GCF of Numerators as per given numbers 31/495, 341/670 is

GCF of Numerators i.e. for 31,341 is 31

LCM of denominators i.e. for 495,670 is 66330.

Thus, GCF of Fractions is 31/66330.Finally, GCF of Fractions for 31/495, 341/670 is 31/66330.