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GCF of 8354/938, 9343/716

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 8354/938, 9343/716 i.e 1/335804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8354/938, 9343/716.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 8354/938,9343/716?

Given fractions are 8354/938,9343/716

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 8354/938,9343/716, numerators are 8354,9343

Denominators are 938,716

The GCF of 8354,9343 is 1 .

LCM of 938,716 is 335804.

The greatest common factor of 8354/938,9343/716 = [GCF of 8354,9343]/[LCM of 938,716]= 1/335804

Therefore, the GCF of 8354/938,9343/716 is 1/335804.

Greatest Common Factor of 8354,9343

To find the highest common factor of 8354,9343, we have to find the factors of both numbers and list the highest common factor.

The factors of 8354 are 1, 2, 4177, 8354

The factors of 9343 are 1, 9343

The HCF of 8354,9343 is 1.

Lets's calculate GCF of 8354,9343

Greatest Common Factor (GCF) of 8354,9343 By Common Division

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

Greatest Common Factor of 8354,9343 By Matching Biggest Common Factor Method

Greatest Common Factor of 8354,9343 By Matching Biggest Common Factor Method

Now, list down the factors of 8354

:

1,2,4177,8354

Now, list down the factors of 9343

:

1,9343

Greatest Common Factor

We found the factors 8354,9343 . The biggest common factor number is the GCF number.
So the greatest common factor 8354,9343 is 1.

Lets's calculate LCM of 938,716

Lowest Common Multiple of 938,716 using Common Division

2 938, 716
469, 358

∴ So the LCM of the given numbers is 2 x 469 x 358 = 335804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335804

Therefore, the GCF of Fractions 8354/938,9343/716 is 1/335804

Least Common Multiple of 938,716 with GCF Formula

Least Common Multiple of 938,716 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 938,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,716) = 2

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

GCF(938,716) x common factors =2 x 1 = 2

LCM(938,716) = ( 938 × 716 ) / 2

LCM(938,716) = 671608 / 2

LCM(938,716) = 335804


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FAQs on GCF of Fractions of 8354/938, 9343/716

1. What is the HCF of 8354,9343?

The HCF of 8354,9343 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 8354/938, 9343/716?

Answer: GCF of Numerators as per given numbers 8354/938, 9343/716 is

GCF of Numerators i.e. for 8354,9343 is 1

LCM of denominators i.e. for 938,716 is 335804.

Thus, GCF of Fractions is 1/335804.Finally, GCF of Fractions for 8354/938, 9343/716 is 1/335804.