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GCF of 9059/182, 5723/766

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 9059/182, 5723/766 i.e 1/69706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9059/182, 5723/766.

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 9059/182,5723/766?

Given fractions are 9059/182,5723/766

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 9059/182,5723/766, numerators are 9059,5723

Denominators are 182,766

The GCF of 9059,5723 is 1 .

LCM of 182,766 is 69706.

The greatest common factor of 9059/182,5723/766 = [GCF of 9059,5723]/[LCM of 182,766]= 1/69706

Therefore, the GCF of 9059/182,5723/766 is 1/69706.

Greatest Common Factor of 9059,5723

To find the highest common factor of 9059,5723, we have to find the factors of both numbers and list the highest common factor.

The factors of 9059 are 1, 9059

The factors of 5723 are 1, 59, 97, 5723

The HCF of 9059,5723 is 1.

Lets's calculate GCF of 9059,5723

Greatest Common Factor (GCF) of 9059,5723 By Common Division

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

Greatest Common Factor of 9059,5723 By Matching Biggest Common Factor Method

Greatest Common Factor of 9059,5723 By Matching Biggest Common Factor Method

Now, list down the factors of 9059

:

1,9059

Now, list down the factors of 5723

:

1,59,97,5723

Greatest Common Factor

We found the factors 9059,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 9059,5723 is 1.

Lets's calculate LCM of 182,766

Lowest Common Multiple of 182,766 using Common Division

2 182, 766
91, 383

∴ So the LCM of the given numbers is 2 x 91 x 383 = 69706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69706

Therefore, the GCF of Fractions 9059/182,5723/766 is 1/69706

Least Common Multiple of 182,766 with GCF Formula

Least Common Multiple of 182,766 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 182,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,766) = 2

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

GCF(182,766) x common factors =2 x 1 = 2

LCM(182,766) = ( 182 × 766 ) / 2

LCM(182,766) = 139412 / 2

LCM(182,766) = 69706


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FAQs on GCF of Fractions of 9059/182, 5723/766

1. What is the HCF of 9059,5723?

The HCF of 9059,5723 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 9059/182, 5723/766?

Answer: GCF of Numerators as per given numbers 9059/182, 5723/766 is

GCF of Numerators i.e. for 9059,5723 is 1

LCM of denominators i.e. for 182,766 is 69706.

Thus, GCF of Fractions is 1/69706.Finally, GCF of Fractions for 9059/182, 5723/766 is 1/69706.