Greatest Common Factor of 495/430, 4022/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/430, 4022/731

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 495/430,4022/731

Given fractions are 495/430,4022/731

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 495,4022

Greatest Common Factor of Numerators i.e. GCF of 495,4022 is 1 .

LCM of Denominators means LCM of 430,731 as per the given fractions.

LCM of 430,731 is 7310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,4022

GCF of Fractions 495/430,4022/731 is 1/7310

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

Greatest Common Factor of 495,4022 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,4022 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1,2,2011,4022

Greatest Common Factor

We found the factors 495,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 495,4022 is 1.

Lets's calculate LCM of 430,731

43 430, 731
10, 17

∴ So the LCM of the given numbers is 43 x 10 x 17 = 7310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7310

Therefore, the GCF of Fractions 495/430,4022/731 is 1/7310

Least Common Multiple of 430,731 with GCF Formula

Least Common Multiple of 430,731 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 430,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,731) = 43

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

GCF(430,731) x common factors =43 x 1 = 43

LCM(430,731) = ( 430 × 731 ) / 43

LCM(430,731) = 314330 / 43

LCM(430,731) = 7310


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 495/430, 4022/731

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 495/430, 4022/731?

Answer: GCF of Numerators as per given numbers 495/430, 4022/731 is

GCF of Numerators i.e. for 495,4022 is 1

LCM of denominators i.e. for 430,731 is 7310.

Thus, GCF of Fractions is 1/7310.Finally, GCF of Fractions for 495/430, 4022/731 is 1/7310.