Greatest Common Factor of 1474/772, 2338/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1474/772, 2338/691

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 1474/772,2338/691

Given fractions are 1474/772,2338/691

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 1474,2338

Greatest Common Factor of Numerators i.e. GCF of 1474,2338 is 2 .

LCM of Denominators means LCM of 772,691 as per the given fractions.

LCM of 772,691 is 533452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1474,2338

GCF of Fractions 1474/772,2338/691 is 2/533452

2 1474, 2338
737, 1169

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

Greatest Common Factor of 1474,2338 By Matching Biggest Common Factor Method

Greatest Common Factor of 1474,2338 By Matching Biggest Common Factor Method

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1,2,11,22,67,134,737,1474

Factors of 2338

List of positive integer factors of 2338 that divides 2338 without a remainder.

1,2,7,14,167,334,1169,2338

Greatest Common Factor

We found the factors 1474,2338 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,2338 is 2.

Lets's calculate LCM of 772,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 533452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/533452

Therefore, the GCF of Fractions 1474/772,2338/691 is 2/533452

Least Common Multiple of 772,691 with GCF Formula

Least Common Multiple of 772,691 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 772,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,691) = 1

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

GCF(772,691) x common factors =1 x 1 = 1

LCM(772,691) = ( 772 × 691 ) / 1

LCM(772,691) = 533452 / 1

LCM(772,691) = 533452


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 1474/772, 2338/691

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 1474/772, 2338/691?

Answer: GCF of Numerators as per given numbers 1474/772, 2338/691 is

GCF of Numerators i.e. for 1474,2338 is 2

LCM of denominators i.e. for 772,691 is 533452.

Thus, GCF of Fractions is 2/533452.Finally, GCF of Fractions for 1474/772, 2338/691 is 2/533452.