How to Find GCF of 8807/572, 3001/5414?

GCF of 8807/572, 3001/5414

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 8807/572, 3001/5414 i.e 1/1548404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8807/572, 3001/5414.

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 8807/572,3001/5414?

Given fractions are 8807/572,3001/5414

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 8807/572,3001/5414, numerators are 8807,3001

Denominators are 572,5414

The GCF of 8807,3001 is 1 .

LCM of 572,5414 is 1548404.

The greatest common factor of 8807/572,3001/5414 = [GCF of 8807,3001]/[LCM of 572,5414]= 1/1548404

Therefore, the GCF of 8807/572,3001/5414 is 1/1548404.

Greatest Common Factor of 8807,3001

To find the highest common factor of 8807,3001, we have to find the factors of both numbers and list the highest common factor.

The factors of 8807 are 1, 8807

The factors of 3001 are 1, 3001

The HCF of 8807,3001 is 1.

Lets's calculate GCF of 8807,3001

Greatest Common Factor (GCF) of 8807,3001 By Common Division

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

Greatest Common Factor of 8807,3001 By Matching Biggest Common Factor Method

Now, list down the factors of 8807

1,8807

Now, list down the factors of 3001

1,3001

Greatest Common Factor

We found the factors 8807,3001 . The biggest common factor number is the GCF number.
So the greatest common factor 8807,3001 is 1.

Lets's calculate LCM of 572,5414

Lowest Common Multiple of 572,5414 using Common Division

2	572, 5414
	286, 2707

∴ So the LCM of the given numbers is 2 x 286 x 2707 = 1548404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1548404

Therefore, the GCF of Fractions 8807/572,3001/5414 is 1/1548404

Least Common Multiple of 572,5414 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 572,5414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,5414) = 2

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

GCF(572,5414) x common factors =2 x 1 = 2

LCM(572,5414) = ( 572 × 5414 ) / 2

LCM(572,5414) = 3096808 / 2

LCM(572,5414) = 1548404

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FAQs on GCF of Fractions of 8807/572, 3001/5414

1. What is the HCF of 8807,3001?

The HCF of 8807,3001 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 8807/572, 3001/5414?

Answer: GCF of Numerators as per given numbers 8807/572, 3001/5414 is

GCF of Numerators i.e. for 8807,3001 is 1

LCM of denominators i.e. for 572,5414 is 1548404.

Thus, GCF of Fractions is 1/1548404.Finally, GCF of Fractions for 8807/572, 3001/5414 is 1/1548404.