Greatest Common Factor of 5465/40, 1320/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5465/40, 1320/302

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 5465/40,1320/302

Given fractions are 5465/40,1320/302

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 5465,1320

Greatest Common Factor of Numerators i.e. GCF of 5465,1320 is 5 .

LCM of Denominators means LCM of 40,302 as per the given fractions.

LCM of 40,302 is 6040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5465,1320

GCF of Fractions 5465/40,1320/302 is 5/6040

5 5465, 1320
1093, 264

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

Greatest Common Factor of 5465,1320 By Matching Biggest Common Factor Method

Greatest Common Factor of 5465,1320 By Matching Biggest Common Factor Method

Factors of 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1,5,1093,5465

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors 5465,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 5465,1320 is 5.

Lets's calculate LCM of 40,302

2 40, 302
20, 151

∴ So the LCM of the given numbers is 2 x 20 x 151 = 6040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6040

Therefore, the GCF of Fractions 5465/40,1320/302 is 5/6040

Least Common Multiple of 40,302 with GCF Formula

Least Common Multiple of 40,302 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 40,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,302) = 2

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

GCF(40,302) x common factors =2 x 1 = 2

LCM(40,302) = ( 40 × 302 ) / 2

LCM(40,302) = 12080 / 2

LCM(40,302) = 6040


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 5465/40, 1320/302

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 5465/40, 1320/302?

Answer: GCF of Numerators as per given numbers 5465/40, 1320/302 is

GCF of Numerators i.e. for 5465,1320 is 5

LCM of denominators i.e. for 40,302 is 6040.

Thus, GCF of Fractions is 5/6040.Finally, GCF of Fractions for 5465/40, 1320/302 is 5/6040.