Greatest Common Factor of 1583/958, 8626/6318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1583/958, 8626/6318

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 1583/958,8626/6318

Given fractions are 1583/958,8626/6318

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 1583,8626

Greatest Common Factor of Numerators i.e. GCF of 1583,8626 is 1 .

LCM of Denominators means LCM of 958,6318 as per the given fractions.

LCM of 958,6318 is 3026322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1583,8626

GCF of Fractions 1583/958,8626/6318 is 1/3026322

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

Greatest Common Factor of 1583,8626 By Matching Biggest Common Factor Method

Greatest Common Factor of 1583,8626 By Matching Biggest Common Factor Method

Factors of 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1,1583

Factors of 8626

List of positive integer factors of 8626 that divides 8626 without a remainder.

1,2,19,38,227,454,4313,8626

Greatest Common Factor

We found the factors 1583,8626 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,8626 is 1.

Lets's calculate LCM of 958,6318

2 958, 6318
479, 3159

∴ So the LCM of the given numbers is 2 x 479 x 3159 = 3026322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3026322

Therefore, the GCF of Fractions 1583/958,8626/6318 is 1/3026322

Least Common Multiple of 958,6318 with GCF Formula

Least Common Multiple of 958,6318 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 958,6318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,6318) = 2

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

GCF(958,6318) x common factors =2 x 1 = 2

LCM(958,6318) = ( 958 × 6318 ) / 2

LCM(958,6318) = 6052644 / 2

LCM(958,6318) = 3026322


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 1583/958, 8626/6318

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 1583/958, 8626/6318?

Answer: GCF of Numerators as per given numbers 1583/958, 8626/6318 is

GCF of Numerators i.e. for 1583,8626 is 1

LCM of denominators i.e. for 958,6318 is 3026322.

Thus, GCF of Fractions is 1/3026322.Finally, GCF of Fractions for 1583/958, 8626/6318 is 1/3026322.