How to Find GCF of 8938/468, 1499/7792?

GCF of 8938/468, 1499/7792

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 8938/468, 1499/7792 i.e 1/911664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8938/468, 1499/7792.

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 8938/468,1499/7792?

Given fractions are 8938/468,1499/7792

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 8938/468,1499/7792, numerators are 8938,1499

Denominators are 468,7792

The GCF of 8938,1499 is 1 .

LCM of 468,7792 is 911664.

The greatest common factor of 8938/468,1499/7792 = [GCF of 8938,1499]/[LCM of 468,7792]= 1/911664

Therefore, the GCF of 8938/468,1499/7792 is 1/911664.

Greatest Common Factor of 8938,1499

To find the highest common factor of 8938,1499, we have to find the factors of both numbers and list the highest common factor.

The factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938

The factors of 1499 are 1, 1499

The HCF of 8938,1499 is 1.

Lets's calculate GCF of 8938,1499

Greatest Common Factor (GCF) of 8938,1499 By Common Division

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

Greatest Common Factor of 8938,1499 By Matching Biggest Common Factor Method

Now, list down the factors of 8938

1,2,41,82,109,218,4469,8938

Now, list down the factors of 1499

1,1499

Greatest Common Factor

We found the factors 8938,1499 . The biggest common factor number is the GCF number.
So the greatest common factor 8938,1499 is 1.

Lets's calculate LCM of 468,7792

Lowest Common Multiple of 468,7792 using Common Division

2	468, 7792
2	234, 3896
	117, 1948

∴ So the LCM of the given numbers is 2 x 2 x 117 x 1948 = 911664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/911664

Therefore, the GCF of Fractions 8938/468,1499/7792 is 1/911664

Least Common Multiple of 468,7792 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 468,7792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,7792) = 4

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

GCF(468,7792) x common factors =4 x 1 = 4

LCM(468,7792) = ( 468 × 7792 ) / 4

LCM(468,7792) = 3646656 / 4

LCM(468,7792) = 911664

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8938/468, 1499/7792

1. What is the HCF of 8938,1499?

The HCF of 8938,1499 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 8938/468, 1499/7792?

Answer: GCF of Numerators as per given numbers 8938/468, 1499/7792 is

GCF of Numerators i.e. for 8938,1499 is 1

LCM of denominators i.e. for 468,7792 is 911664.

Thus, GCF of Fractions is 1/911664.Finally, GCF of Fractions for 8938/468, 1499/7792 is 1/911664.