Greatest Common Factor of 7509/62, 6196/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7509/62, 6196/271

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 7509/62,6196/271

Given fractions are 7509/62,6196/271

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 7509,6196

Greatest Common Factor of Numerators i.e. GCF of 7509,6196 is 1 .

LCM of Denominators means LCM of 62,271 as per the given fractions.

LCM of 62,271 is 16802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7509,6196

GCF of Fractions 7509/62,6196/271 is 1/16802

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

Greatest Common Factor of 7509,6196 By Matching Biggest Common Factor Method

Greatest Common Factor of 7509,6196 By Matching Biggest Common Factor Method

Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1,3,2503,7509

Factors of 6196

List of positive integer factors of 6196 that divides 6196 without a remainder.

1,2,4,1549,3098,6196

Greatest Common Factor

We found the factors 7509,6196 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,6196 is 1.

Lets's calculate LCM of 62,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 16802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16802

Therefore, the GCF of Fractions 7509/62,6196/271 is 1/16802

Least Common Multiple of 62,271 with GCF Formula

Least Common Multiple of 62,271 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 62,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,271) = 1

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

GCF(62,271) x common factors =1 x 1 = 1

LCM(62,271) = ( 62 × 271 ) / 1

LCM(62,271) = 16802 / 1

LCM(62,271) = 16802


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 7509/62, 6196/271

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 7509/62, 6196/271?

Answer: GCF of Numerators as per given numbers 7509/62, 6196/271 is

GCF of Numerators i.e. for 7509,6196 is 1

LCM of denominators i.e. for 62,271 is 16802.

Thus, GCF of Fractions is 1/16802.Finally, GCF of Fractions for 7509/62, 6196/271 is 1/16802.