Greatest Common Factor of 7/51, 45/57, 69/553, 842/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/51, 45/57, 69/553, 842/557

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 7/51,45/57,69/553,842/557

Given fractions are 7/51,45/57,69/553,842/557

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 7,45,69,842

Greatest Common Factor of Numerators i.e. GCF of 7,45,69,842 is 1 .

LCM of Denominators means LCM of 51,57,553,557 as per the given fractions.

LCM of 51,57,553,557 is 298472349 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,45,69,842

GCF of Fractions 7/51,45/57,69/553,842/557 is 1/298472349

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

Greatest Common Factor of 7,45,69,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,45,69,842 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 7,45,69,842 . The biggest common factor number is the GCF number.
So the greatest common factor 7,45,69,842 is 1.

Lets's calculate LCM of 51,57,553,557

3 51, 57, 553, 557
17, 19, 553, 557

∴ So the LCM of the given numbers is 3 x 17 x 19 x 553 x 557 = 298472349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298472349

Therefore, the GCF of Fractions 7/51,45/57,69/553,842/557 is 1/298472349

Least Common Multiple of 51,57,553,557 with GCF Formula

Least Common Multiple of 51,57,553,557 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 51,57,553,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,57,553,557) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,57,553,557) x common factors =1 x 3 = 3

LCM(51,57,553,557) = ( 51 × 57 × 553 × 557 ) / 3

LCM(51,57,553,557) = 895417047 / 3

LCM(51,57,553,557) = 298472349


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 7/51, 45/57, 69/553, 842/557

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 7/51, 45/57, 69/553, 842/557?

Answer: GCF of Numerators as per given numbers 7/51, 45/57, 69/553, 842/557 is

GCF of Numerators i.e. for 7,45,69,842 is 1

LCM of denominators i.e. for 51,57,553,557 is 298472349.

Thus, GCF of Fractions is 1/298472349.Finally, GCF of Fractions for 7/51, 45/57, 69/553, 842/557 is 1/298472349.