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GCF of 547/661, 205/741

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 547/661, 205/741 i.e 1/489801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/661, 205/741.

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 547/661,205/741?

Given fractions are 547/661,205/741

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 547/661,205/741, numerators are 547,205

Denominators are 661,741

The GCF of 547,205 is 1 .

LCM of 661,741 is 489801.

The greatest common factor of 547/661,205/741 = [GCF of 547,205]/[LCM of 661,741]= 1/489801

Therefore, the GCF of 547/661,205/741 is 1/489801.

Greatest Common Factor of 547,205

To find the highest common factor of 547,205, we have to find the factors of both numbers and list the highest common factor.

The factors of 547 are 1, 547

The factors of 205 are 1, 5, 41, 205

The HCF of 547,205 is 1.

Lets's calculate GCF of 547,205

Greatest Common Factor (GCF) of 547,205 By Common Division

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

Greatest Common Factor of 547,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,205 By Matching Biggest Common Factor Method

Now, list down the factors of 547

:

1,547

Now, list down the factors of 205

:

1,5,41,205

Greatest Common Factor

We found the factors 547,205 . The biggest common factor number is the GCF number.
So the greatest common factor 547,205 is 1.

Lets's calculate LCM of 661,741

Lowest Common Multiple of 661,741 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 489801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489801

Therefore, the GCF of Fractions 547/661,205/741 is 1/489801

Least Common Multiple of 661,741 with GCF Formula

Least Common Multiple of 661,741 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 661,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,741) = 1

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

GCF(661,741) x common factors =1 x 1 = 1

LCM(661,741) = ( 661 × 741 ) / 1

LCM(661,741) = 489801 / 1

LCM(661,741) = 489801


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FAQs on GCF of Fractions of 547/661, 205/741

1. What is the HCF of 547,205?

The HCF of 547,205 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 547/661, 205/741?

Answer: GCF of Numerators as per given numbers 547/661, 205/741 is

GCF of Numerators i.e. for 547,205 is 1

LCM of denominators i.e. for 661,741 is 489801.

Thus, GCF of Fractions is 1/489801.Finally, GCF of Fractions for 547/661, 205/741 is 1/489801.