Greatest Common Factor of 1814/77, 3004/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1814/77, 3004/627

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 1814/77,3004/627

Given fractions are 1814/77,3004/627

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 1814,3004

Greatest Common Factor of Numerators i.e. GCF of 1814,3004 is 2 .

LCM of Denominators means LCM of 77,627 as per the given fractions.

LCM of 77,627 is 4389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1814,3004

GCF of Fractions 1814/77,3004/627 is 2/4389

2 1814, 3004
907, 1502

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1814,3004 By Matching Biggest Common Factor Method

Greatest Common Factor of 1814,3004 By Matching Biggest Common Factor Method

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1,2,907,1814

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1,2,4,751,1502,3004

Greatest Common Factor

We found the factors 1814,3004 . The biggest common factor number is the GCF number.
So the greatest common factor 1814,3004 is 2.

Lets's calculate LCM of 77,627

11 77, 627
7, 57

∴ So the LCM of the given numbers is 11 x 7 x 57 = 4389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4389

Therefore, the GCF of Fractions 1814/77,3004/627 is 2/4389

Least Common Multiple of 77,627 with GCF Formula

Least Common Multiple of 77,627 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 77,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,627) = 11

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

GCF(77,627) x common factors =11 x 1 = 11

LCM(77,627) = ( 77 × 627 ) / 11

LCM(77,627) = 48279 / 11

LCM(77,627) = 4389


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 1814/77, 3004/627

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 1814/77, 3004/627?

Answer: GCF of Numerators as per given numbers 1814/77, 3004/627 is

GCF of Numerators i.e. for 1814,3004 is 2

LCM of denominators i.e. for 77,627 is 4389.

Thus, GCF of Fractions is 2/4389.Finally, GCF of Fractions for 1814/77, 3004/627 is 2/4389.