Greatest Common Factor of 551/612, 1774/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 551/612, 1774/462

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 551/612,1774/462

Given fractions are 551/612,1774/462

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 551,1774

Greatest Common Factor of Numerators i.e. GCF of 551,1774 is 1 .

LCM of Denominators means LCM of 612,462 as per the given fractions.

LCM of 612,462 is 47124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 551,1774

GCF of Fractions 551/612,1774/462 is 1/47124

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

Greatest Common Factor of 551,1774 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,1774 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 1774

List of positive integer factors of 1774 that divides 1774 without a remainder.

1,2,887,1774

Greatest Common Factor

We found the factors 551,1774 . The biggest common factor number is the GCF number.
So the greatest common factor 551,1774 is 1.

Lets's calculate LCM of 612,462

2 612, 462
3 306, 231
102, 77

∴ So the LCM of the given numbers is 2 x 3 x 102 x 77 = 47124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47124

Therefore, the GCF of Fractions 551/612,1774/462 is 1/47124

Least Common Multiple of 612,462 with GCF Formula

Least Common Multiple of 612,462 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 612,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,462) = 6

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

GCF(612,462) x common factors =6 x 1 = 6

LCM(612,462) = ( 612 × 462 ) / 6

LCM(612,462) = 282744 / 6

LCM(612,462) = 47124


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 551/612, 1774/462

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 551/612, 1774/462?

Answer: GCF of Numerators as per given numbers 551/612, 1774/462 is

GCF of Numerators i.e. for 551,1774 is 1

LCM of denominators i.e. for 612,462 is 47124.

Thus, GCF of Fractions is 1/47124.Finally, GCF of Fractions for 551/612, 1774/462 is 1/47124.