How to Find GCF of 8450/572, 9067/726?

GCF of 8450/572, 9067/726

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 8450/572, 9067/726 i.e 1/18876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8450/572, 9067/726.

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 8450/572,9067/726?

Given fractions are 8450/572,9067/726

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 8450/572,9067/726, numerators are 8450,9067

Denominators are 572,726

The GCF of 8450,9067 is 1 .

LCM of 572,726 is 18876.

The greatest common factor of 8450/572,9067/726 = [GCF of 8450,9067]/[LCM of 572,726]= 1/18876

Therefore, the GCF of 8450/572,9067/726 is 1/18876.

Greatest Common Factor of 8450,9067

To find the highest common factor of 8450,9067, we have to find the factors of both numbers and list the highest common factor.

The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450

The factors of 9067 are 1, 9067

The HCF of 8450,9067 is 1.

Lets's calculate GCF of 8450,9067

Greatest Common Factor (GCF) of 8450,9067 By Common Division

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

Greatest Common Factor of 8450,9067 By Matching Biggest Common Factor Method

Now, list down the factors of 8450

1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450

Now, list down the factors of 9067

1,9067

Greatest Common Factor

We found the factors 8450,9067 . The biggest common factor number is the GCF number.
So the greatest common factor 8450,9067 is 1.

Lets's calculate LCM of 572,726

Lowest Common Multiple of 572,726 using Common Division

2	572, 726
11	286, 363
	26, 33

∴ So the LCM of the given numbers is 2 x 11 x 26 x 33 = 18876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18876

Therefore, the GCF of Fractions 8450/572,9067/726 is 1/18876

Least Common Multiple of 572,726 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 572,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,726) = 22

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

GCF(572,726) x common factors =22 x 1 = 22

LCM(572,726) = ( 572 × 726 ) / 22

LCM(572,726) = 415272 / 22

LCM(572,726) = 18876

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FAQs on GCF of Fractions of 8450/572, 9067/726

1. What is the HCF of 8450,9067?

The HCF of 8450,9067 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 8450/572, 9067/726?

Answer: GCF of Numerators as per given numbers 8450/572, 9067/726 is

GCF of Numerators i.e. for 8450,9067 is 1

LCM of denominators i.e. for 572,726 is 18876.

Thus, GCF of Fractions is 1/18876.Finally, GCF of Fractions for 8450/572, 9067/726 is 1/18876.