Greatest Common Factor of 763/258, 830/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 763/258, 830/688

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 763/258,830/688

Given fractions are 763/258,830/688

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 763,830

Greatest Common Factor of Numerators i.e. GCF of 763,830 is 1 .

LCM of Denominators means LCM of 258,688 as per the given fractions.

LCM of 258,688 is 2064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 763,830

GCF of Fractions 763/258,830/688 is 1/2064

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

Greatest Common Factor of 763,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,830 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 763,830 . The biggest common factor number is the GCF number.
So the greatest common factor 763,830 is 1.

Lets's calculate LCM of 258,688

2 258, 688
43 129, 344
3, 8

∴ So the LCM of the given numbers is 2 x 43 x 3 x 8 = 2064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2064

Therefore, the GCF of Fractions 763/258,830/688 is 1/2064

Least Common Multiple of 258,688 with GCF Formula

Least Common Multiple of 258,688 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 258,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,688) = 86

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

GCF(258,688) x common factors =86 x 1 = 86

LCM(258,688) = ( 258 × 688 ) / 86

LCM(258,688) = 177504 / 86

LCM(258,688) = 2064


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 763/258, 830/688

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 763/258, 830/688?

Answer: GCF of Numerators as per given numbers 763/258, 830/688 is

GCF of Numerators i.e. for 763,830 is 1

LCM of denominators i.e. for 258,688 is 2064.

Thus, GCF of Fractions is 1/2064.Finally, GCF of Fractions for 763/258, 830/688 is 1/2064.