Greatest Common Factor of 383/918, 1522/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 383/918, 1522/646

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 383/918,1522/646

Given fractions are 383/918,1522/646

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 383,1522

Greatest Common Factor of Numerators i.e. GCF of 383,1522 is 1 .

LCM of Denominators means LCM of 918,646 as per the given fractions.

LCM of 918,646 is 17442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 383,1522

GCF of Fractions 383/918,1522/646 is 1/17442

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

Greatest Common Factor of 383,1522 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,1522 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1,2,761,1522

Greatest Common Factor

We found the factors 383,1522 . The biggest common factor number is the GCF number.
So the greatest common factor 383,1522 is 1.

Lets's calculate LCM of 918,646

2 918, 646
17 459, 323
27, 19

∴ So the LCM of the given numbers is 2 x 17 x 27 x 19 = 17442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17442

Therefore, the GCF of Fractions 383/918,1522/646 is 1/17442

Least Common Multiple of 918,646 with GCF Formula

Least Common Multiple of 918,646 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 918,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,646) = 34

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

GCF(918,646) x common factors =34 x 1 = 34

LCM(918,646) = ( 918 × 646 ) / 34

LCM(918,646) = 593028 / 34

LCM(918,646) = 17442


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 383/918, 1522/646

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 383/918, 1522/646?

Answer: GCF of Numerators as per given numbers 383/918, 1522/646 is

GCF of Numerators i.e. for 383,1522 is 1

LCM of denominators i.e. for 918,646 is 17442.

Thus, GCF of Fractions is 1/17442.Finally, GCF of Fractions for 383/918, 1522/646 is 1/17442.