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GCF of 543/845, 547/146

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 543/845, 547/146 i.e 1/123370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/845, 547/146.

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 543/845,547/146?

Given fractions are 543/845,547/146

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 543/845,547/146, numerators are 543,547

Denominators are 845,146

The GCF of 543,547 is 1 .

LCM of 845,146 is 123370.

The greatest common factor of 543/845,547/146 = [GCF of 543,547]/[LCM of 845,146]= 1/123370

Therefore, the GCF of 543/845,547/146 is 1/123370.

Greatest Common Factor of 543,547

To find the highest common factor of 543,547, we have to find the factors of both numbers and list the highest common factor.

The factors of 543 are 1, 3, 181, 543

The factors of 547 are 1, 547

The HCF of 543,547 is 1.

Lets's calculate GCF of 543,547

Greatest Common Factor (GCF) of 543,547 By Common Division

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

Greatest Common Factor of 543,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,547 By Matching Biggest Common Factor Method

Now, list down the factors of 543

:

1,3,181,543

Now, list down the factors of 547

:

1,547

Greatest Common Factor

We found the factors 543,547 . The biggest common factor number is the GCF number.
So the greatest common factor 543,547 is 1.

Lets's calculate LCM of 845,146

Lowest Common Multiple of 845,146 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 123370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123370

Therefore, the GCF of Fractions 543/845,547/146 is 1/123370

Least Common Multiple of 845,146 with GCF Formula

Least Common Multiple of 845,146 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 845,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,146) = 1

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

GCF(845,146) x common factors =1 x 1 = 1

LCM(845,146) = ( 845 × 146 ) / 1

LCM(845,146) = 123370 / 1

LCM(845,146) = 123370


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FAQs on GCF of Fractions of 543/845, 547/146

1. What is the HCF of 543,547?

The HCF of 543,547 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 543/845, 547/146?

Answer: GCF of Numerators as per given numbers 543/845, 547/146 is

GCF of Numerators i.e. for 543,547 is 1

LCM of denominators i.e. for 845,146 is 123370.

Thus, GCF of Fractions is 1/123370.Finally, GCF of Fractions for 543/845, 547/146 is 1/123370.