Greatest Common Factor of 692/941, 363/813, 858/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/941, 363/813, 858/951

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 692/941,363/813,858/951

Given fractions are 692/941,363/813,858/951

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 692,363,858

Greatest Common Factor of Numerators i.e. GCF of 692,363,858 is 1 .

LCM of Denominators means LCM of 941,813,951 as per the given fractions.

LCM of 941,813,951 is 242515461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,363,858

GCF of Fractions 692/941,363/813,858/951 is 1/242515461

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

Greatest Common Factor of 692,363,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,363,858 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 692,363,858 . The biggest common factor number is the GCF number.
So the greatest common factor 692,363,858 is 1.

Lets's calculate LCM of 941,813,951

3 941, 813, 951
941, 271, 317

∴ So the LCM of the given numbers is 3 x 941 x 271 x 317 = 242515461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242515461

Therefore, the GCF of Fractions 692/941,363/813,858/951 is 1/242515461

Least Common Multiple of 941,813,951 with GCF Formula

Least Common Multiple of 941,813,951 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 941,813,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,813,951) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(941,813,951) x common factors =1 x 3 = 3

LCM(941,813,951) = ( 941 × 813 × 951 ) / 3

LCM(941,813,951) = 727546383 / 3

LCM(941,813,951) = 242515461


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 692/941, 363/813, 858/951

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 692/941, 363/813, 858/951?

Answer: GCF of Numerators as per given numbers 692/941, 363/813, 858/951 is

GCF of Numerators i.e. for 692,363,858 is 1

LCM of denominators i.e. for 941,813,951 is 242515461.

Thus, GCF of Fractions is 1/242515461.Finally, GCF of Fractions for 692/941, 363/813, 858/951 is 1/242515461.