Greatest Common Factor of 356/45, 623/35, 732/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 356/45, 623/35, 732/312

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 356/45,623/35,732/312

Given fractions are 356/45,623/35,732/312

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 356,623,732

Greatest Common Factor of Numerators i.e. GCF of 356,623,732 is 1 .

LCM of Denominators means LCM of 45,35,312 as per the given fractions.

LCM of 45,35,312 is 32760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 356,623,732

GCF of Fractions 356/45,623/35,732/312 is 1/32760

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

Greatest Common Factor of 356,623,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,623,732 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 356,623,732 . The biggest common factor number is the GCF number.
So the greatest common factor 356,623,732 is 1.

Lets's calculate LCM of 45,35,312

3 45, 35, 312
5 15, 35, 104
3, 7, 104

∴ So the LCM of the given numbers is 3 x 5 x 3 x 7 x 104 = 32760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32760

Therefore, the GCF of Fractions 356/45,623/35,732/312 is 1/32760

Least Common Multiple of 45,35,312 with GCF Formula

Least Common Multiple of 45,35,312 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 45,35,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,35,312) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,35,312) x common factors =1 x 15 = 15

LCM(45,35,312) = ( 45 × 35 × 312 ) / 15

LCM(45,35,312) = 491400 / 15

LCM(45,35,312) = 32760


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 356/45, 623/35, 732/312

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 356/45, 623/35, 732/312?

Answer: GCF of Numerators as per given numbers 356/45, 623/35, 732/312 is

GCF of Numerators i.e. for 356,623,732 is 1

LCM of denominators i.e. for 45,35,312 is 32760.

Thus, GCF of Fractions is 1/32760.Finally, GCF of Fractions for 356/45, 623/35, 732/312 is 1/32760.