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GCF of 9281/778, 5326/856

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 9281/778, 5326/856 i.e 1/332984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9281/778, 5326/856.

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 9281/778,5326/856?

Given fractions are 9281/778,5326/856

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 9281/778,5326/856, numerators are 9281,5326

Denominators are 778,856

The GCF of 9281,5326 is 1 .

LCM of 778,856 is 332984.

The greatest common factor of 9281/778,5326/856 = [GCF of 9281,5326]/[LCM of 778,856]= 1/332984

Therefore, the GCF of 9281/778,5326/856 is 1/332984.

Greatest Common Factor of 9281,5326

To find the highest common factor of 9281,5326, we have to find the factors of both numbers and list the highest common factor.

The factors of 9281 are 1, 9281

The factors of 5326 are 1, 2, 2663, 5326

The HCF of 9281,5326 is 1.

Lets's calculate GCF of 9281,5326

Greatest Common Factor (GCF) of 9281,5326 By Common Division

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

Greatest Common Factor of 9281,5326 By Matching Biggest Common Factor Method

Greatest Common Factor of 9281,5326 By Matching Biggest Common Factor Method

Now, list down the factors of 9281

:

1,9281

Now, list down the factors of 5326

:

1,2,2663,5326

Greatest Common Factor

We found the factors 9281,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 9281,5326 is 1.

Lets's calculate LCM of 778,856

Lowest Common Multiple of 778,856 using Common Division

2 778, 856
389, 428

∴ So the LCM of the given numbers is 2 x 389 x 428 = 332984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332984

Therefore, the GCF of Fractions 9281/778,5326/856 is 1/332984

Least Common Multiple of 778,856 with GCF Formula

Least Common Multiple of 778,856 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 778,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,856) = 2

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

GCF(778,856) x common factors =2 x 1 = 2

LCM(778,856) = ( 778 × 856 ) / 2

LCM(778,856) = 665968 / 2

LCM(778,856) = 332984


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FAQs on GCF of Fractions of 9281/778, 5326/856

1. What is the HCF of 9281,5326?

The HCF of 9281,5326 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 9281/778, 5326/856?

Answer: GCF of Numerators as per given numbers 9281/778, 5326/856 is

GCF of Numerators i.e. for 9281,5326 is 1

LCM of denominators i.e. for 778,856 is 332984.

Thus, GCF of Fractions is 1/332984.Finally, GCF of Fractions for 9281/778, 5326/856 is 1/332984.