How to Find GCF of 2318/970, 5867/9087?

GCF of 2318/970, 5867/9087

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2318/970, 5867/9087 i.e 1/8814390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2318/970, 5867/9087.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2318/970,5867/9087?

Given fractions are 2318/970,5867/9087

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2318/970,5867/9087, numerators are 2318,5867

Denominators are 970,9087

The GCF of 2318,5867 is 1 .

LCM of 970,9087 is 8814390.

The greatest common factor of 2318/970,5867/9087 = [GCF of 2318,5867]/[LCM of 970,9087]= 1/8814390

Therefore, the GCF of 2318/970,5867/9087 is 1/8814390.

Greatest Common Factor of 2318,5867

To find the highest common factor of 2318,5867, we have to find the factors of both numbers and list the highest common factor.

The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318

The factors of 5867 are 1, 5867

The HCF of 2318,5867 is 1.

Lets's calculate GCF of 2318,5867

Greatest Common Factor (GCF) of 2318,5867 By Common Division

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

Greatest Common Factor of 2318,5867 By Matching Biggest Common Factor Method

Now, list down the factors of 2318

1,2,19,38,61,122,1159,2318

Now, list down the factors of 5867

1,5867

Greatest Common Factor

We found the factors 2318,5867 . The biggest common factor number is the GCF number.
So the greatest common factor 2318,5867 is 1.

Lets's calculate LCM of 970,9087

Lowest Common Multiple of 970,9087 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8814390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8814390

Therefore, the GCF of Fractions 2318/970,5867/9087 is 1/8814390

Least Common Multiple of 970,9087 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 970,9087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,9087) = 1

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

GCF(970,9087) x common factors =1 x 1 = 1

LCM(970,9087) = ( 970 × 9087 ) / 1

LCM(970,9087) = 8814390 / 1

LCM(970,9087) = 8814390

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FAQs on GCF of Fractions of 2318/970, 5867/9087

1. What is the HCF of 2318,5867?

The HCF of 2318,5867 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2318/970, 5867/9087?

Answer: GCF of Numerators as per given numbers 2318/970, 5867/9087 is

GCF of Numerators i.e. for 2318,5867 is 1

LCM of denominators i.e. for 970,9087 is 8814390.

Thus, GCF of Fractions is 1/8814390.Finally, GCF of Fractions for 2318/970, 5867/9087 is 1/8814390.