How to Find GCF of 8893/376, 5609/7564?

GCF of 8893/376, 5609/7564

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 8893/376, 5609/7564 i.e 1/711016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8893/376, 5609/7564.

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 8893/376,5609/7564?

Given fractions are 8893/376,5609/7564

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 8893/376,5609/7564, numerators are 8893,5609

Denominators are 376,7564

The GCF of 8893,5609 is 1 .

LCM of 376,7564 is 711016.

The greatest common factor of 8893/376,5609/7564 = [GCF of 8893,5609]/[LCM of 376,7564]= 1/711016

Therefore, the GCF of 8893/376,5609/7564 is 1/711016.

Greatest Common Factor of 8893,5609

To find the highest common factor of 8893,5609, we have to find the factors of both numbers and list the highest common factor.

The factors of 8893 are 1, 8893

The factors of 5609 are 1, 71, 79, 5609

The HCF of 8893,5609 is 1.

Lets's calculate GCF of 8893,5609

Greatest Common Factor (GCF) of 8893,5609 By Common Division

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

Greatest Common Factor of 8893,5609 By Matching Biggest Common Factor Method

Now, list down the factors of 8893

1,8893

Now, list down the factors of 5609

1,71,79,5609

Greatest Common Factor

We found the factors 8893,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 8893,5609 is 1.

Lets's calculate LCM of 376,7564

Lowest Common Multiple of 376,7564 using Common Division

2	376, 7564
2	188, 3782
	94, 1891

∴ So the LCM of the given numbers is 2 x 2 x 94 x 1891 = 711016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/711016

Therefore, the GCF of Fractions 8893/376,5609/7564 is 1/711016

Least Common Multiple of 376,7564 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 376,7564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,7564) = 4

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

GCF(376,7564) x common factors =4 x 1 = 4

LCM(376,7564) = ( 376 × 7564 ) / 4

LCM(376,7564) = 2844064 / 4

LCM(376,7564) = 711016

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FAQs on GCF of Fractions of 8893/376, 5609/7564

1. What is the HCF of 8893,5609?

The HCF of 8893,5609 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 8893/376, 5609/7564?

Answer: GCF of Numerators as per given numbers 8893/376, 5609/7564 is

GCF of Numerators i.e. for 8893,5609 is 1

LCM of denominators i.e. for 376,7564 is 711016.

Thus, GCF of Fractions is 1/711016.Finally, GCF of Fractions for 8893/376, 5609/7564 is 1/711016.