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GCF of 547/454, 937/551

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 547/454, 937/551 i.e 1/250154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/454, 937/551.

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 547/454,937/551?

Given fractions are 547/454,937/551

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 547/454,937/551, numerators are 547,937

Denominators are 454,551

The GCF of 547,937 is 1 .

LCM of 454,551 is 250154.

The greatest common factor of 547/454,937/551 = [GCF of 547,937]/[LCM of 454,551]= 1/250154

Therefore, the GCF of 547/454,937/551 is 1/250154.

Greatest Common Factor of 547,937

To find the highest common factor of 547,937, 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 937 are 1, 937

The HCF of 547,937 is 1.

Lets's calculate GCF of 547,937

Greatest Common Factor (GCF) of 547,937 By Common Division

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

Greatest Common Factor of 547,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,937 By Matching Biggest Common Factor Method

Now, list down the factors of 547

:

1,547

Now, list down the factors of 937

:

1,937

Greatest Common Factor

We found the factors 547,937 . The biggest common factor number is the GCF number.
So the greatest common factor 547,937 is 1.

Lets's calculate LCM of 454,551

Lowest Common Multiple of 454,551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 250154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250154

Therefore, the GCF of Fractions 547/454,937/551 is 1/250154

Least Common Multiple of 454,551 with GCF Formula

Least Common Multiple of 454,551 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 454,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,551) = 1

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

GCF(454,551) x common factors =1 x 1 = 1

LCM(454,551) = ( 454 × 551 ) / 1

LCM(454,551) = 250154 / 1

LCM(454,551) = 250154


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FAQs on GCF of Fractions of 547/454, 937/551

1. What is the HCF of 547,937?

The HCF of 547,937 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 547/454, 937/551?

Answer: GCF of Numerators as per given numbers 547/454, 937/551 is

GCF of Numerators i.e. for 547,937 is 1

LCM of denominators i.e. for 454,551 is 250154.

Thus, GCF of Fractions is 1/250154.Finally, GCF of Fractions for 547/454, 937/551 is 1/250154.