Greatest Common Factor of 535/45, 705/66, 275/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/45, 705/66, 275/364

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 535/45,705/66,275/364

Given fractions are 535/45,705/66,275/364

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 535,705,275

Greatest Common Factor of Numerators i.e. GCF of 535,705,275 is 5 .

LCM of Denominators means LCM of 45,66,364 as per the given fractions.

LCM of 45,66,364 is 180180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,705,275

GCF of Fractions 535/45,705/66,275/364 is 5/180180

5 535, 705, 275
107, 141, 55

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 535,705,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,705,275 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 535,705,275 . The biggest common factor number is the GCF number.
So the greatest common factor 535,705,275 is 5.

Lets's calculate LCM of 45,66,364

2 45, 66, 364
3 45, 33, 182
15, 11, 182

∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 182 = 180180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/180180

Therefore, the GCF of Fractions 535/45,705/66,275/364 is 5/180180

Least Common Multiple of 45,66,364 with GCF Formula

Least Common Multiple of 45,66,364 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 45,66,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,66,364) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,66,364) x common factors =1 x 6 = 6

LCM(45,66,364) = ( 45 × 66 × 364 ) / 6

LCM(45,66,364) = 1081080 / 6

LCM(45,66,364) = 180180


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 535/45, 705/66, 275/364

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 535/45, 705/66, 275/364?

Answer: GCF of Numerators as per given numbers 535/45, 705/66, 275/364 is

GCF of Numerators i.e. for 535,705,275 is 5

LCM of denominators i.e. for 45,66,364 is 180180.

Thus, GCF of Fractions is 5/180180.Finally, GCF of Fractions for 535/45, 705/66, 275/364 is 5/180180.