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GCF of 9294/174, 8927/826

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 9294/174, 8927/826 i.e 1/71862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9294/174, 8927/826.

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 9294/174,8927/826?

Given fractions are 9294/174,8927/826

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 9294/174,8927/826, numerators are 9294,8927

Denominators are 174,826

The GCF of 9294,8927 is 1 .

LCM of 174,826 is 71862.

The greatest common factor of 9294/174,8927/826 = [GCF of 9294,8927]/[LCM of 174,826]= 1/71862

Therefore, the GCF of 9294/174,8927/826 is 1/71862.

Greatest Common Factor of 9294,8927

To find the highest common factor of 9294,8927, we have to find the factors of both numbers and list the highest common factor.

The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294

The factors of 8927 are 1, 79, 113, 8927

The HCF of 9294,8927 is 1.

Lets's calculate GCF of 9294,8927

Greatest Common Factor (GCF) of 9294,8927 By Common Division

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

Greatest Common Factor of 9294,8927 By Matching Biggest Common Factor Method

Greatest Common Factor of 9294,8927 By Matching Biggest Common Factor Method

Now, list down the factors of 9294

:

1,2,3,6,1549,3098,4647,9294

Now, list down the factors of 8927

:

1,79,113,8927

Greatest Common Factor

We found the factors 9294,8927 . The biggest common factor number is the GCF number.
So the greatest common factor 9294,8927 is 1.

Lets's calculate LCM of 174,826

Lowest Common Multiple of 174,826 using Common Division

2 174, 826
87, 413

∴ So the LCM of the given numbers is 2 x 87 x 413 = 71862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71862

Therefore, the GCF of Fractions 9294/174,8927/826 is 1/71862

Least Common Multiple of 174,826 with GCF Formula

Least Common Multiple of 174,826 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 174,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,826) = 2

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

GCF(174,826) x common factors =2 x 1 = 2

LCM(174,826) = ( 174 × 826 ) / 2

LCM(174,826) = 143724 / 2

LCM(174,826) = 71862


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FAQs on GCF of Fractions of 9294/174, 8927/826

1. What is the HCF of 9294,8927?

The HCF of 9294,8927 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 9294/174, 8927/826?

Answer: GCF of Numerators as per given numbers 9294/174, 8927/826 is

GCF of Numerators i.e. for 9294,8927 is 1

LCM of denominators i.e. for 174,826 is 71862.

Thus, GCF of Fractions is 1/71862.Finally, GCF of Fractions for 9294/174, 8927/826 is 1/71862.