Greatest Common Factor of 367/280, 754/105, 324/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/280, 754/105, 324/312

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 367/280,754/105,324/312

Given fractions are 367/280,754/105,324/312

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 367,754,324

Greatest Common Factor of Numerators i.e. GCF of 367,754,324 is 1 .

LCM of Denominators means LCM of 280,105,312 as per the given fractions.

LCM of 280,105,312 is 10920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,754,324

GCF of Fractions 367/280,754/105,324/312 is 1/10920

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

Greatest Common Factor of 367,754,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,754,324 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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 367,754,324 . The biggest common factor number is the GCF number.
So the greatest common factor 367,754,324 is 1.

Lets's calculate LCM of 280,105,312

2 280, 105, 312
2 140, 105, 156
2 70, 105, 78
3 35, 105, 39
5 35, 35, 13
7 7, 7, 13
1, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 x 13 = 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10920

Therefore, the GCF of Fractions 367/280,754/105,324/312 is 1/10920

Least Common Multiple of 280,105,312 with GCF Formula

Least Common Multiple of 280,105,312 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 280,105,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,105,312) = 1

common factors(in case of two or more numbers have common factors) = 840

GCF(280,105,312) x common factors =1 x 840 = 840

LCM(280,105,312) = ( 280 × 105 × 312 ) / 840

LCM(280,105,312) = 9172800 / 840

LCM(280,105,312) = 10920


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 367/280, 754/105, 324/312

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 367/280, 754/105, 324/312?

Answer: GCF of Numerators as per given numbers 367/280, 754/105, 324/312 is

GCF of Numerators i.e. for 367,754,324 is 1

LCM of denominators i.e. for 280,105,312 is 10920.

Thus, GCF of Fractions is 1/10920.Finally, GCF of Fractions for 367/280, 754/105, 324/312 is 1/10920.