Greatest Common Factor of 367/295, 767/834, 421/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/295, 767/834, 421/850

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 367/295,767/834,421/850

Given fractions are 367/295,767/834,421/850

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 367,767,421

Greatest Common Factor of Numerators i.e. GCF of 367,767,421 is 1 .

LCM of Denominators means LCM of 295,834,850 as per the given fractions.

LCM of 295,834,850 is 20912550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,767,421

GCF of Fractions 367/295,767/834,421/850 is 1/20912550

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

Greatest Common Factor of 367,767,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,767,421 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 367,767,421 . The biggest common factor number is the GCF number.
So the greatest common factor 367,767,421 is 1.

Lets's calculate LCM of 295,834,850

2 295, 834, 850
5 295, 417, 425
59, 417, 85

∴ So the LCM of the given numbers is 2 x 5 x 59 x 417 x 85 = 20912550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20912550

Therefore, the GCF of Fractions 367/295,767/834,421/850 is 1/20912550

Least Common Multiple of 295,834,850 with GCF Formula

Least Common Multiple of 295,834,850 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 295,834,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,834,850) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(295,834,850) x common factors =1 x 10 = 10

LCM(295,834,850) = ( 295 × 834 × 850 ) / 10

LCM(295,834,850) = 209125500 / 10

LCM(295,834,850) = 20912550


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 367/295, 767/834, 421/850

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 367/295, 767/834, 421/850?

Answer: GCF of Numerators as per given numbers 367/295, 767/834, 421/850 is

GCF of Numerators i.e. for 367,767,421 is 1

LCM of denominators i.e. for 295,834,850 is 20912550.

Thus, GCF of Fractions is 1/20912550.Finally, GCF of Fractions for 367/295, 767/834, 421/850 is 1/20912550.