Greatest Common Factor of 68/507, 495/463, 701/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/507, 495/463, 701/241

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 68/507,495/463,701/241

Given fractions are 68/507,495/463,701/241

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 68,495,701

Greatest Common Factor of Numerators i.e. GCF of 68,495,701 is 1 .

LCM of Denominators means LCM of 507,463,241 as per the given fractions.

LCM of 507,463,241 is 56572581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,495,701

GCF of Fractions 68/507,495/463,701/241 is 1/56572581

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

Greatest Common Factor of 68,495,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,495,701 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 68,495,701 . The biggest common factor number is the GCF number.
So the greatest common factor 68,495,701 is 1.

Lets's calculate LCM of 507,463,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 56572581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56572581

Therefore, the GCF of Fractions 68/507,495/463,701/241 is 1/56572581

Least Common Multiple of 507,463,241 with GCF Formula

Least Common Multiple of 507,463,241 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 507,463,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,463,241) = 1

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

GCF(507,463,241) x common factors =1 x 1 = 1

LCM(507,463,241) = ( 507 × 463 × 241 ) / 1

LCM(507,463,241) = 56572581 / 1

LCM(507,463,241) = 56572581


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 68/507, 495/463, 701/241

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 68/507, 495/463, 701/241?

Answer: GCF of Numerators as per given numbers 68/507, 495/463, 701/241 is

GCF of Numerators i.e. for 68,495,701 is 1

LCM of denominators i.e. for 507,463,241 is 56572581.

Thus, GCF of Fractions is 1/56572581.Finally, GCF of Fractions for 68/507, 495/463, 701/241 is 1/56572581.