Greatest Common Factor of 367/105, 314/259, 372/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/105, 314/259, 372/746

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 367/105,314/259,372/746

Given fractions are 367/105,314/259,372/746

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 367,314,372

Greatest Common Factor of Numerators i.e. GCF of 367,314,372 is 1 .

LCM of Denominators means LCM of 105,259,746 as per the given fractions.

LCM of 105,259,746 is 2898210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,314,372

GCF of Fractions 367/105,314/259,372/746 is 1/2898210

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

Greatest Common Factor of 367,314,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,314,372 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 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 367,314,372 . The biggest common factor number is the GCF number.
So the greatest common factor 367,314,372 is 1.

Lets's calculate LCM of 105,259,746

7 105, 259, 746
15, 37, 746

∴ So the LCM of the given numbers is 7 x 15 x 37 x 746 = 2898210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2898210

Therefore, the GCF of Fractions 367/105,314/259,372/746 is 1/2898210

Least Common Multiple of 105,259,746 with GCF Formula

Least Common Multiple of 105,259,746 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 105,259,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,259,746) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(105,259,746) x common factors =1 x 7 = 7

LCM(105,259,746) = ( 105 × 259 × 746 ) / 7

LCM(105,259,746) = 20287470 / 7

LCM(105,259,746) = 2898210


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 367/105, 314/259, 372/746

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 367/105, 314/259, 372/746?

Answer: GCF of Numerators as per given numbers 367/105, 314/259, 372/746 is

GCF of Numerators i.e. for 367,314,372 is 1

LCM of denominators i.e. for 105,259,746 is 2898210.

Thus, GCF of Fractions is 1/2898210.Finally, GCF of Fractions for 367/105, 314/259, 372/746 is 1/2898210.