Greatest Common Factor of 1360/97, 5330/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1360/97, 5330/371

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 1360/97,5330/371

Given fractions are 1360/97,5330/371

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 1360,5330

Greatest Common Factor of Numerators i.e. GCF of 1360,5330 is 10 .

LCM of Denominators means LCM of 97,371 as per the given fractions.

LCM of 97,371 is 35987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1360,5330

GCF of Fractions 1360/97,5330/371 is 10/35987

2 1360, 5330
5 680, 2665
136, 533

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1360,5330 By Matching Biggest Common Factor Method

Greatest Common Factor of 1360,5330 By Matching Biggest Common Factor Method

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330

Greatest Common Factor

We found the factors 1360,5330 . The biggest common factor number is the GCF number.
So the greatest common factor 1360,5330 is 10.

Lets's calculate LCM of 97,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 35987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/35987

Therefore, the GCF of Fractions 1360/97,5330/371 is 10/35987

Least Common Multiple of 97,371 with GCF Formula

Least Common Multiple of 97,371 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 97,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,371) = 1

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

GCF(97,371) x common factors =1 x 1 = 1

LCM(97,371) = ( 97 × 371 ) / 1

LCM(97,371) = 35987 / 1

LCM(97,371) = 35987


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 1360/97, 5330/371

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 1360/97, 5330/371?

Answer: GCF of Numerators as per given numbers 1360/97, 5330/371 is

GCF of Numerators i.e. for 1360,5330 is 10

LCM of denominators i.e. for 97,371 is 35987.

Thus, GCF of Fractions is 10/35987.Finally, GCF of Fractions for 1360/97, 5330/371 is 10/35987.