How to Find GCF of 8363/644, 8807/7894?

GCF of 8363/644, 8807/7894

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 8363/644, 8807/7894 i.e 1/2541868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8363/644, 8807/7894.

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 8363/644,8807/7894?

Given fractions are 8363/644,8807/7894

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 8363/644,8807/7894, numerators are 8363,8807

Denominators are 644,7894

The GCF of 8363,8807 is 1 .

LCM of 644,7894 is 2541868.

The greatest common factor of 8363/644,8807/7894 = [GCF of 8363,8807]/[LCM of 644,7894]= 1/2541868

Therefore, the GCF of 8363/644,8807/7894 is 1/2541868.

Greatest Common Factor of 8363,8807

To find the highest common factor of 8363,8807, we have to find the factors of both numbers and list the highest common factor.

The factors of 8363 are 1, 8363

The factors of 8807 are 1, 8807

The HCF of 8363,8807 is 1.

Lets's calculate GCF of 8363,8807

Greatest Common Factor (GCF) of 8363,8807 By Common Division

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

Greatest Common Factor of 8363,8807 By Matching Biggest Common Factor Method

Now, list down the factors of 8363

1,8363

Now, list down the factors of 8807

1,8807

Greatest Common Factor

We found the factors 8363,8807 . The biggest common factor number is the GCF number.
So the greatest common factor 8363,8807 is 1.

Lets's calculate LCM of 644,7894

Lowest Common Multiple of 644,7894 using Common Division

2	644, 7894
	322, 3947

∴ So the LCM of the given numbers is 2 x 322 x 3947 = 2541868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2541868

Therefore, the GCF of Fractions 8363/644,8807/7894 is 1/2541868

Least Common Multiple of 644,7894 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 644,7894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,7894) = 2

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

GCF(644,7894) x common factors =2 x 1 = 2

LCM(644,7894) = ( 644 × 7894 ) / 2

LCM(644,7894) = 5083736 / 2

LCM(644,7894) = 2541868

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FAQs on GCF of Fractions of 8363/644, 8807/7894

1. What is the HCF of 8363,8807?

The HCF of 8363,8807 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 8363/644, 8807/7894?

Answer: GCF of Numerators as per given numbers 8363/644, 8807/7894 is

GCF of Numerators i.e. for 8363,8807 is 1

LCM of denominators i.e. for 644,7894 is 2541868.

Thus, GCF of Fractions is 1/2541868.Finally, GCF of Fractions for 8363/644, 8807/7894 is 1/2541868.