How to Find GCF of 8963/938, 1352/9419?

GCF of 8963/938, 1352/9419

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 8963/938, 1352/9419 i.e 1/8835022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8963/938, 1352/9419.

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 8963/938,1352/9419?

Given fractions are 8963/938,1352/9419

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 8963/938,1352/9419, numerators are 8963,1352

Denominators are 938,9419

The GCF of 8963,1352 is 1 .

LCM of 938,9419 is 8835022.

The greatest common factor of 8963/938,1352/9419 = [GCF of 8963,1352]/[LCM of 938,9419]= 1/8835022

Therefore, the GCF of 8963/938,1352/9419 is 1/8835022.

Greatest Common Factor of 8963,1352

To find the highest common factor of 8963,1352, we have to find the factors of both numbers and list the highest common factor.

The factors of 8963 are 1, 8963

The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352

The HCF of 8963,1352 is 1.

Lets's calculate GCF of 8963,1352

Greatest Common Factor (GCF) of 8963,1352 By Common Division

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

Greatest Common Factor of 8963,1352 By Matching Biggest Common Factor Method

Now, list down the factors of 8963

1,8963

Now, list down the factors of 1352

1,2,4,8,13,26,52,104,169,338,676,1352

Greatest Common Factor

We found the factors 8963,1352 . The biggest common factor number is the GCF number.
So the greatest common factor 8963,1352 is 1.

Lets's calculate LCM of 938,9419

Lowest Common Multiple of 938,9419 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8835022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8835022

Therefore, the GCF of Fractions 8963/938,1352/9419 is 1/8835022

Least Common Multiple of 938,9419 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 938,9419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,9419) = 1

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

GCF(938,9419) x common factors =1 x 1 = 1

LCM(938,9419) = ( 938 × 9419 ) / 1

LCM(938,9419) = 8835022 / 1

LCM(938,9419) = 8835022

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8963/938, 1352/9419

1. What is the HCF of 8963,1352?

The HCF of 8963,1352 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 8963/938, 1352/9419?

Answer: GCF of Numerators as per given numbers 8963/938, 1352/9419 is

GCF of Numerators i.e. for 8963,1352 is 1

LCM of denominators i.e. for 938,9419 is 8835022.

Thus, GCF of Fractions is 1/8835022.Finally, GCF of Fractions for 8963/938, 1352/9419 is 1/8835022.