Greatest Common Factor of 42/865, 377/641, 245/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 42/865, 377/641, 245/774

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 42/865,377/641,245/774

Given fractions are 42/865,377/641,245/774

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 42,377,245

Greatest Common Factor of Numerators i.e. GCF of 42,377,245 is 1 .

LCM of Denominators means LCM of 865,641,774 as per the given fractions.

LCM of 865,641,774 is 429155910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,377,245

GCF of Fractions 42/865,377/641,245/774 is 1/429155910

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

Greatest Common Factor of 42,377,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,377,245 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 42,377,245 . The biggest common factor number is the GCF number.
So the greatest common factor 42,377,245 is 1.


Lets's calculate LCM of 865,641,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 429155910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429155910

Therefore, the GCF of Fractions 42/865,377/641,245/774 is 1/429155910

Least Common Multiple of 865,641,774 with GCF Formula

Least Common Multiple of 865,641,774 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 865,641,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,641,774) = 1

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

GCF(865,641,774) x common factors =1 x 1 = 1

LCM(865,641,774) = ( 865 × 641 × 774 ) / 1

LCM(865,641,774) = 429155910 / 1

LCM(865,641,774) = 429155910


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 42/865, 377/641, 245/774

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 42/865, 377/641, 245/774?

Answer: GCF of Numerators as per given numbers 42/865, 377/641, 245/774 is

GCF of Numerators i.e. for 42,377,245 is 1

LCM of denominators i.e. for 865,641,774 is 429155910.

Thus, GCF of Fractions is 1/429155910.Finally, GCF of Fractions for 42/865, 377/641, 245/774 is 1/429155910.