Greatest Common Factor of 783/874, 921/496, 305/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 783/874, 921/496, 305/962

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 783/874,921/496,305/962

Given fractions are 783/874,921/496,305/962

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 783,921,305

Greatest Common Factor of Numerators i.e. GCF of 783,921,305 is 1 .

LCM of Denominators means LCM of 874,496,962 as per the given fractions.

LCM of 874,496,962 is 104257712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 783,921,305

GCF of Fractions 783/874,921/496,305/962 is 1/104257712

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

Greatest Common Factor of 783,921,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,921,305 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 783,921,305 . The biggest common factor number is the GCF number.
So the greatest common factor 783,921,305 is 1.

Lets's calculate LCM of 874,496,962

2 874, 496, 962
437, 248, 481

∴ So the LCM of the given numbers is 2 x 437 x 248 x 481 = 104257712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104257712

Therefore, the GCF of Fractions 783/874,921/496,305/962 is 1/104257712

Least Common Multiple of 874,496,962 with GCF Formula

Least Common Multiple of 874,496,962 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 874,496,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,496,962) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(874,496,962) x common factors =2 x 2 = 4

LCM(874,496,962) = ( 874 × 496 × 962 ) / 4

LCM(874,496,962) = 417030848 / 4

LCM(874,496,962) = 104257712


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 783/874, 921/496, 305/962

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 783/874, 921/496, 305/962?

Answer: GCF of Numerators as per given numbers 783/874, 921/496, 305/962 is

GCF of Numerators i.e. for 783,921,305 is 1

LCM of denominators i.e. for 874,496,962 is 104257712.

Thus, GCF of Fractions is 1/104257712.Finally, GCF of Fractions for 783/874, 921/496, 305/962 is 1/104257712.