How to Find GCF of 9941/800, 6557/6586?

GCF of 9941/800, 6557/6586

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 9941/800, 6557/6586 i.e 1/2634400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9941/800, 6557/6586.

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 9941/800,6557/6586?

Given fractions are 9941/800,6557/6586

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 9941/800,6557/6586, numerators are 9941,6557

Denominators are 800,6586

The GCF of 9941,6557 is 1 .

LCM of 800,6586 is 2634400.

The greatest common factor of 9941/800,6557/6586 = [GCF of 9941,6557]/[LCM of 800,6586]= 1/2634400

Therefore, the GCF of 9941/800,6557/6586 is 1/2634400.

Greatest Common Factor of 9941,6557

To find the highest common factor of 9941,6557, we have to find the factors of both numbers and list the highest common factor.

The factors of 9941 are 1, 9941

The factors of 6557 are 1, 79, 83, 6557

The HCF of 9941,6557 is 1.

Lets's calculate GCF of 9941,6557

Greatest Common Factor (GCF) of 9941,6557 By Common Division

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

Greatest Common Factor of 9941,6557 By Matching Biggest Common Factor Method

Now, list down the factors of 9941

1,9941

Now, list down the factors of 6557

1,79,83,6557

Greatest Common Factor

We found the factors 9941,6557 . The biggest common factor number is the GCF number.
So the greatest common factor 9941,6557 is 1.

Lets's calculate LCM of 800,6586

Lowest Common Multiple of 800,6586 using Common Division

2	800, 6586
	400, 3293

∴ So the LCM of the given numbers is 2 x 400 x 3293 = 2634400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2634400

Therefore, the GCF of Fractions 9941/800,6557/6586 is 1/2634400

Least Common Multiple of 800,6586 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 800,6586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,6586) = 2

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

GCF(800,6586) x common factors =2 x 1 = 2

LCM(800,6586) = ( 800 × 6586 ) / 2

LCM(800,6586) = 5268800 / 2

LCM(800,6586) = 2634400

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FAQs on GCF of Fractions of 9941/800, 6557/6586

1. What is the HCF of 9941,6557?

The HCF of 9941,6557 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 9941/800, 6557/6586?

Answer: GCF of Numerators as per given numbers 9941/800, 6557/6586 is

GCF of Numerators i.e. for 9941,6557 is 1

LCM of denominators i.e. for 800,6586 is 2634400.

Thus, GCF of Fractions is 1/2634400.Finally, GCF of Fractions for 9941/800, 6557/6586 is 1/2634400.