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GCF of 547/742, 583/206

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 547/742, 583/206 i.e 1/76426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/742, 583/206.

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 547/742,583/206?

Given fractions are 547/742,583/206

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 547/742,583/206, numerators are 547,583

Denominators are 742,206

The GCF of 547,583 is 1 .

LCM of 742,206 is 76426.

The greatest common factor of 547/742,583/206 = [GCF of 547,583]/[LCM of 742,206]= 1/76426

Therefore, the GCF of 547/742,583/206 is 1/76426.

Greatest Common Factor of 547,583

To find the highest common factor of 547,583, 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 583 are 1, 11, 53, 583

The HCF of 547,583 is 1.

Lets's calculate GCF of 547,583

Greatest Common Factor (GCF) of 547,583 By Common Division

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

Greatest Common Factor of 547,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,583 By Matching Biggest Common Factor Method

Now, list down the factors of 547

:

1,547

Now, list down the factors of 583

:

1,11,53,583

Greatest Common Factor

We found the factors 547,583 . The biggest common factor number is the GCF number.
So the greatest common factor 547,583 is 1.

Lets's calculate LCM of 742,206

Lowest Common Multiple of 742,206 using Common Division

2 742, 206
371, 103

∴ So the LCM of the given numbers is 2 x 371 x 103 = 76426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76426

Therefore, the GCF of Fractions 547/742,583/206 is 1/76426

Least Common Multiple of 742,206 with GCF Formula

Least Common Multiple of 742,206 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 742,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,206) = 2

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

GCF(742,206) x common factors =2 x 1 = 2

LCM(742,206) = ( 742 × 206 ) / 2

LCM(742,206) = 152852 / 2

LCM(742,206) = 76426


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FAQs on GCF of Fractions of 547/742, 583/206

1. What is the HCF of 547,583?

The HCF of 547,583 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 547/742, 583/206?

Answer: GCF of Numerators as per given numbers 547/742, 583/206 is

GCF of Numerators i.e. for 547,583 is 1

LCM of denominators i.e. for 742,206 is 76426.

Thus, GCF of Fractions is 1/76426.Finally, GCF of Fractions for 547/742, 583/206 is 1/76426.