Greatest Common Factor of 6490/77, 7253/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6490/77, 7253/319

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 6490/77,7253/319

Given fractions are 6490/77,7253/319

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 6490,7253

Greatest Common Factor of Numerators i.e. GCF of 6490,7253 is 1 .

LCM of Denominators means LCM of 77,319 as per the given fractions.

LCM of 77,319 is 2233 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6490,7253

GCF of Fractions 6490/77,7253/319 is 1/2233

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

Greatest Common Factor of 6490,7253 By Matching Biggest Common Factor Method

Greatest Common Factor of 6490,7253 By Matching Biggest Common Factor Method

Factors of 6490

List of positive integer factors of 6490 that divides 6490 without a remainder.

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Factors of 7253

List of positive integer factors of 7253 that divides 7253 without a remainder.

1,7253

Greatest Common Factor

We found the factors 6490,7253 . The biggest common factor number is the GCF number.
So the greatest common factor 6490,7253 is 1.

Lets's calculate LCM of 77,319

11 77, 319
7, 29

∴ So the LCM of the given numbers is 11 x 7 x 29 = 2233

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2233

Therefore, the GCF of Fractions 6490/77,7253/319 is 1/2233

Least Common Multiple of 77,319 with GCF Formula

Least Common Multiple of 77,319 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 77,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,319) = 11

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

GCF(77,319) x common factors =11 x 1 = 11

LCM(77,319) = ( 77 × 319 ) / 11

LCM(77,319) = 24563 / 11

LCM(77,319) = 2233


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 6490/77, 7253/319

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 6490/77, 7253/319?

Answer: GCF of Numerators as per given numbers 6490/77, 7253/319 is

GCF of Numerators i.e. for 6490,7253 is 1

LCM of denominators i.e. for 77,319 is 2233.

Thus, GCF of Fractions is 1/2233.Finally, GCF of Fractions for 6490/77, 7253/319 is 1/2233.