Greatest Common Factor of 693/512, 7414/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/512, 7414/430

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 693/512,7414/430

Given fractions are 693/512,7414/430

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 693,7414

Greatest Common Factor of Numerators i.e. GCF of 693,7414 is 11 .

LCM of Denominators means LCM of 512,430 as per the given fractions.

LCM of 512,430 is 110080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,7414

GCF of Fractions 693/512,7414/430 is 11/110080

11 693, 7414
63, 674

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 693,7414 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,7414 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1,2,11,22,337,674,3707,7414

Greatest Common Factor

We found the factors 693,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 693,7414 is 11.

Lets's calculate LCM of 512,430

2 512, 430
256, 215

∴ So the LCM of the given numbers is 2 x 256 x 215 = 110080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/110080

Therefore, the GCF of Fractions 693/512,7414/430 is 11/110080

Least Common Multiple of 512,430 with GCF Formula

Least Common Multiple of 512,430 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 512,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,430) = 2

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

GCF(512,430) x common factors =2 x 1 = 2

LCM(512,430) = ( 512 × 430 ) / 2

LCM(512,430) = 220160 / 2

LCM(512,430) = 110080


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 693/512, 7414/430

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 693/512, 7414/430?

Answer: GCF of Numerators as per given numbers 693/512, 7414/430 is

GCF of Numerators i.e. for 693,7414 is 11

LCM of denominators i.e. for 512,430 is 110080.

Thus, GCF of Fractions is 11/110080.Finally, GCF of Fractions for 693/512, 7414/430 is 11/110080.