Greatest Common Factor of 495/60, 456/7805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 495/60, 456/7805

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 495/60,456/7805

Given fractions are 495/60,456/7805

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 495,456

Greatest Common Factor of Numerators i.e. GCF of 495,456 is 3 .

LCM of Denominators means LCM of 60,7805 as per the given fractions.

LCM of 60,7805 is 93660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 495,456

GCF of Fractions 495/60,456/7805 is 3/93660

3 495, 456
165, 152

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 495,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,456 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 495,456 . The biggest common factor number is the GCF number.
So the greatest common factor 495,456 is 3.

Lets's calculate LCM of 60,7805

5 60, 7805
12, 1561

∴ So the LCM of the given numbers is 5 x 12 x 1561 = 93660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/93660

Therefore, the GCF of Fractions 495/60,456/7805 is 3/93660

Least Common Multiple of 60,7805 with GCF Formula

Least Common Multiple of 60,7805 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 60,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7805) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(60,7805) x common factors =5 x 1 = 5

LCM(60,7805) = ( 60 × 7805 ) / 5

LCM(60,7805) = 468300 / 5

LCM(60,7805) = 93660


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 495/60, 456/7805

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 495/60, 456/7805?

Answer: GCF of Numerators as per given numbers 495/60, 456/7805 is

GCF of Numerators i.e. for 495,456 is 3

LCM of denominators i.e. for 60,7805 is 93660.

Thus, GCF of Fractions is 3/93660.Finally, GCF of Fractions for 495/60, 456/7805 is 3/93660.