How to Find GCF of 6478/561, 2636/9694?

GCF of 6478/561, 2636/9694

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 6478/561, 2636/9694 i.e 2/5438334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6478/561, 2636/9694.

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 6478/561,2636/9694?

Given fractions are 6478/561,2636/9694

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 6478/561,2636/9694, numerators are 6478,2636

Denominators are 561,9694

The GCF of 6478,2636 is 2 .

LCM of 561,9694 is 5438334.

The greatest common factor of 6478/561,2636/9694 = [GCF of 6478,2636]/[LCM of 561,9694]= 2/5438334

Therefore, the GCF of 6478/561,2636/9694 is 2/5438334.

Greatest Common Factor of 6478,2636

To find the highest common factor of 6478,2636, we have to find the factors of both numbers and list the highest common factor.

The factors of 6478 are 1, 2, 41, 79, 82, 158, 3239, 6478

The factors of 2636 are 1, 2, 4, 659, 1318, 2636

The HCF of 6478,2636 is 2.

Lets's calculate GCF of 6478,2636

Greatest Common Factor (GCF) of 6478,2636 By Common Division

2	6478, 2636
	3239, 1318

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6478,2636 By Matching Biggest Common Factor Method

Now, list down the factors of 6478

1,2,41,79,82,158,3239,6478

Now, list down the factors of 2636

1,2,4,659,1318,2636

Greatest Common Factor

We found the factors 6478,2636 . The biggest common factor number is the GCF number.
So the greatest common factor 6478,2636 is 2.

Lets's calculate LCM of 561,9694

Lowest Common Multiple of 561,9694 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5438334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5438334

Therefore, the GCF of Fractions 6478/561,2636/9694 is 2/5438334

Least Common Multiple of 561,9694 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 561,9694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,9694) = 1

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

GCF(561,9694) x common factors =1 x 1 = 1

LCM(561,9694) = ( 561 × 9694 ) / 1

LCM(561,9694) = 5438334 / 1

LCM(561,9694) = 5438334

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FAQs on GCF of Fractions of 6478/561, 2636/9694

1. What is the HCF of 6478,2636?

The HCF of 6478,2636 is 2

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 6478/561, 2636/9694?

Answer: GCF of Numerators as per given numbers 6478/561, 2636/9694 is

GCF of Numerators i.e. for 6478,2636 is 2

LCM of denominators i.e. for 561,9694 is 5438334.

Thus, GCF of Fractions is 2/5438334.Finally, GCF of Fractions for 6478/561, 2636/9694 is 2/5438334.