Greatest Common Factor of 315/534, 4223/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 315/534, 4223/762

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 315/534,4223/762

Given fractions are 315/534,4223/762

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 315,4223

Greatest Common Factor of Numerators i.e. GCF of 315,4223 is 1 .

LCM of Denominators means LCM of 534,762 as per the given fractions.

LCM of 534,762 is 67818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 315,4223

GCF of Fractions 315/534,4223/762 is 1/67818

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

Greatest Common Factor of 315,4223 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,4223 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 4223

List of positive integer factors of 4223 that divides 4223 without a remainder.

1,41,103,4223

Greatest Common Factor

We found the factors 315,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 315,4223 is 1.

Lets's calculate LCM of 534,762

2 534, 762
3 267, 381
89, 127

∴ So the LCM of the given numbers is 2 x 3 x 89 x 127 = 67818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67818

Therefore, the GCF of Fractions 315/534,4223/762 is 1/67818

Least Common Multiple of 534,762 with GCF Formula

Least Common Multiple of 534,762 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 534,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,762) = 6

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

GCF(534,762) x common factors =6 x 1 = 6

LCM(534,762) = ( 534 × 762 ) / 6

LCM(534,762) = 406908 / 6

LCM(534,762) = 67818


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 315/534, 4223/762

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 315/534, 4223/762?

Answer: GCF of Numerators as per given numbers 315/534, 4223/762 is

GCF of Numerators i.e. for 315,4223 is 1

LCM of denominators i.e. for 534,762 is 67818.

Thus, GCF of Fractions is 1/67818.Finally, GCF of Fractions for 315/534, 4223/762 is 1/67818.