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GCF of 674/566, 1961/9468

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 674/566, 1961/9468 i.e 1/2679444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/566, 1961/9468.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 674/566,1961/9468?

Given fractions are 674/566,1961/9468

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 674/566,1961/9468, numerators are 674,1961

Denominators are 566,9468

The GCF of 674,1961 is 1 .

LCM of 566,9468 is 2679444.

The greatest common factor of 674/566,1961/9468 = [GCF of 674,1961]/[LCM of 566,9468]= 1/2679444

Therefore, the GCF of 674/566,1961/9468 is 1/2679444.

Greatest Common Factor of 674,1961

To find the highest common factor of 674,1961, we have to find the factors of both numbers and list the highest common factor.

The factors of 674 are 1, 2, 337, 674

The factors of 1961 are 1, 37, 53, 1961

The HCF of 674,1961 is 1.

Lets's calculate GCF of 674,1961

Greatest Common Factor (GCF) of 674,1961 By Common Division

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

Greatest Common Factor of 674,1961 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,1961 By Matching Biggest Common Factor Method

Now, list down the factors of 674

:

1,2,337,674

Now, list down the factors of 1961

:

1,37,53,1961

Greatest Common Factor

We found the factors 674,1961 . The biggest common factor number is the GCF number.
So the greatest common factor 674,1961 is 1.

Lets's calculate LCM of 566,9468

Lowest Common Multiple of 566,9468 using Common Division

2 566, 9468
283, 4734

∴ So the LCM of the given numbers is 2 x 283 x 4734 = 2679444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2679444

Therefore, the GCF of Fractions 674/566,1961/9468 is 1/2679444

Least Common Multiple of 566,9468 with GCF Formula

Least Common Multiple of 566,9468 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 566,9468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,9468) = 2

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

GCF(566,9468) x common factors =2 x 1 = 2

LCM(566,9468) = ( 566 × 9468 ) / 2

LCM(566,9468) = 5358888 / 2

LCM(566,9468) = 2679444


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 674/566, 1961/9468

1. What is the HCF of 674,1961?

The HCF of 674,1961 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 674/566, 1961/9468?

Answer: GCF of Numerators as per given numbers 674/566, 1961/9468 is

GCF of Numerators i.e. for 674,1961 is 1

LCM of denominators i.e. for 566,9468 is 2679444.

Thus, GCF of Fractions is 1/2679444.Finally, GCF of Fractions for 674/566, 1961/9468 is 1/2679444.