Greatest Common Factor of 245/762, 6170/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/762, 6170/382

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 245/762,6170/382

Given fractions are 245/762,6170/382

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 245,6170

Greatest Common Factor of Numerators i.e. GCF of 245,6170 is 5 .

LCM of Denominators means LCM of 762,382 as per the given fractions.

LCM of 762,382 is 145542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,6170

GCF of Fractions 245/762,6170/382 is 5/145542

5 245, 6170
49, 1234

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

Greatest Common Factor of 245,6170 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,6170 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1,2,5,10,617,1234,3085,6170

Greatest Common Factor

We found the factors 245,6170 . The biggest common factor number is the GCF number.
So the greatest common factor 245,6170 is 5.

Lets's calculate LCM of 762,382

2 762, 382
381, 191

∴ So the LCM of the given numbers is 2 x 381 x 191 = 145542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/145542

Therefore, the GCF of Fractions 245/762,6170/382 is 5/145542

Least Common Multiple of 762,382 with GCF Formula

Least Common Multiple of 762,382 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 762,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,382) = 2

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

GCF(762,382) x common factors =2 x 1 = 2

LCM(762,382) = ( 762 × 382 ) / 2

LCM(762,382) = 291084 / 2

LCM(762,382) = 145542


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 245/762, 6170/382

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 245/762, 6170/382?

Answer: GCF of Numerators as per given numbers 245/762, 6170/382 is

GCF of Numerators i.e. for 245,6170 is 5

LCM of denominators i.e. for 762,382 is 145542.

Thus, GCF of Fractions is 5/145542.Finally, GCF of Fractions for 245/762, 6170/382 is 5/145542.