Greatest Common Factor of 45/278, 1615/5480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/278, 1615/5480

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 45/278,1615/5480

Given fractions are 45/278,1615/5480

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 45,1615

Greatest Common Factor of Numerators i.e. GCF of 45,1615 is 5 .

LCM of Denominators means LCM of 278,5480 as per the given fractions.

LCM of 278,5480 is 761720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,1615

GCF of Fractions 45/278,1615/5480 is 5/761720

5 45, 1615
9, 323

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

Greatest Common Factor of 45,1615 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,1615 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 1615

List of positive integer factors of 1615 that divides 1615 without a remainder.

1,5,17,19,85,95,323,1615

Greatest Common Factor

We found the factors 45,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1615 is 5.

Lets's calculate LCM of 278,5480

2 278, 5480
139, 2740

∴ So the LCM of the given numbers is 2 x 139 x 2740 = 761720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/761720

Therefore, the GCF of Fractions 45/278,1615/5480 is 5/761720

Least Common Multiple of 278,5480 with GCF Formula

Least Common Multiple of 278,5480 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 278,5480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,5480) = 2

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

GCF(278,5480) x common factors =2 x 1 = 2

LCM(278,5480) = ( 278 × 5480 ) / 2

LCM(278,5480) = 1523440 / 2

LCM(278,5480) = 761720


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 45/278, 1615/5480

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 45/278, 1615/5480?

Answer: GCF of Numerators as per given numbers 45/278, 1615/5480 is

GCF of Numerators i.e. for 45,1615 is 5

LCM of denominators i.e. for 278,5480 is 761720.

Thus, GCF of Fractions is 5/761720.Finally, GCF of Fractions for 45/278, 1615/5480 is 5/761720.