Greatest Common Factor of 435/55, 732/53, 661/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/55, 732/53, 661/80

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 435/55,732/53,661/80

Given fractions are 435/55,732/53,661/80

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 435,732,661

Greatest Common Factor of Numerators i.e. GCF of 435,732,661 is 1 .

LCM of Denominators means LCM of 55,53,80 as per the given fractions.

LCM of 55,53,80 is 46640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,732,661

GCF of Fractions 435/55,732/53,661/80 is 1/46640

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

Greatest Common Factor of 435,732,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,732,661 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

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

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 435,732,661 . The biggest common factor number is the GCF number.
So the greatest common factor 435,732,661 is 1.

Lets's calculate LCM of 55,53,80

5 55, 53, 80
11, 53, 16

∴ So the LCM of the given numbers is 5 x 11 x 53 x 16 = 46640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46640

Therefore, the GCF of Fractions 435/55,732/53,661/80 is 1/46640

Least Common Multiple of 55,53,80 with GCF Formula

Least Common Multiple of 55,53,80 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 55,53,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,53,80) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,53,80) x common factors =1 x 5 = 5

LCM(55,53,80) = ( 55 × 53 × 80 ) / 5

LCM(55,53,80) = 233200 / 5

LCM(55,53,80) = 46640


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 435/55, 732/53, 661/80

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 435/55, 732/53, 661/80?

Answer: GCF of Numerators as per given numbers 435/55, 732/53, 661/80 is

GCF of Numerators i.e. for 435,732,661 is 1

LCM of denominators i.e. for 55,53,80 is 46640.

Thus, GCF of Fractions is 1/46640.Finally, GCF of Fractions for 435/55, 732/53, 661/80 is 1/46640.