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GCF of 661/66, 547/578

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 661/66, 547/578 i.e 1/19074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/66, 547/578.

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 661/66,547/578?

Given fractions are 661/66,547/578

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 661/66,547/578, numerators are 661,547

Denominators are 66,578

The GCF of 661,547 is 1 .

LCM of 66,578 is 19074.

The greatest common factor of 661/66,547/578 = [GCF of 661,547]/[LCM of 66,578]= 1/19074

Therefore, the GCF of 661/66,547/578 is 1/19074.

Greatest Common Factor of 661,547

To find the highest common factor of 661,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 661 are 1, 661

The factors of 547 are 1, 547

The HCF of 661,547 is 1.

Lets's calculate GCF of 661,547

Greatest Common Factor (GCF) of 661,547 By Common Division

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

Greatest Common Factor of 661,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,547 By Matching Biggest Common Factor Method

Now, list down the factors of 661

:

1,661

Now, list down the factors of 547

:

1,547

Greatest Common Factor

We found the factors 661,547 . The biggest common factor number is the GCF number.
So the greatest common factor 661,547 is 1.

Lets's calculate LCM of 66,578

Lowest Common Multiple of 66,578 using Common Division

2 66, 578
33, 289

∴ So the LCM of the given numbers is 2 x 33 x 289 = 19074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19074

Therefore, the GCF of Fractions 661/66,547/578 is 1/19074

Least Common Multiple of 66,578 with GCF Formula

Least Common Multiple of 66,578 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 66,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,578) = 2

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

GCF(66,578) x common factors =2 x 1 = 2

LCM(66,578) = ( 66 × 578 ) / 2

LCM(66,578) = 38148 / 2

LCM(66,578) = 19074


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FAQs on GCF of Fractions of 661/66, 547/578

1. What is the HCF of 661,547?

The HCF of 661,547 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 661/66, 547/578?

Answer: GCF of Numerators as per given numbers 661/66, 547/578 is

GCF of Numerators i.e. for 661,547 is 1

LCM of denominators i.e. for 66,578 is 19074.

Thus, GCF of Fractions is 1/19074.Finally, GCF of Fractions for 661/66, 547/578 is 1/19074.