Greatest Common Factor of 545/34, 655/90, 762/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 545/34, 655/90, 762/895

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 545/34,655/90,762/895

Given fractions are 545/34,655/90,762/895

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 545,655,762

Greatest Common Factor of Numerators i.e. GCF of 545,655,762 is 1 .

LCM of Denominators means LCM of 34,90,895 as per the given fractions.

LCM of 34,90,895 is 273870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 545,655,762

GCF of Fractions 545/34,655/90,762/895 is 1/273870

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

Greatest Common Factor of 545,655,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,655,762 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 545,655,762 . The biggest common factor number is the GCF number.
So the greatest common factor 545,655,762 is 1.

Lets's calculate LCM of 34,90,895

2 34, 90, 895
5 17, 45, 895
17, 9, 179

∴ So the LCM of the given numbers is 2 x 5 x 17 x 9 x 179 = 273870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273870

Therefore, the GCF of Fractions 545/34,655/90,762/895 is 1/273870

Least Common Multiple of 34,90,895 with GCF Formula

Least Common Multiple of 34,90,895 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 34,90,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,90,895) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(34,90,895) x common factors =1 x 10 = 10

LCM(34,90,895) = ( 34 × 90 × 895 ) / 10

LCM(34,90,895) = 2738700 / 10

LCM(34,90,895) = 273870


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 545/34, 655/90, 762/895

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 545/34, 655/90, 762/895?

Answer: GCF of Numerators as per given numbers 545/34, 655/90, 762/895 is

GCF of Numerators i.e. for 545,655,762 is 1

LCM of denominators i.e. for 34,90,895 is 273870.

Thus, GCF of Fractions is 1/273870.Finally, GCF of Fractions for 545/34, 655/90, 762/895 is 1/273870.