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GCF of 549/28, 893/598

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 549/28, 893/598 i.e 1/8372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 549/28, 893/598.

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 549/28,893/598?

Given fractions are 549/28,893/598

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 549/28,893/598, numerators are 549,893

Denominators are 28,598

The GCF of 549,893 is 1 .

LCM of 28,598 is 8372.

The greatest common factor of 549/28,893/598 = [GCF of 549,893]/[LCM of 28,598]= 1/8372

Therefore, the GCF of 549/28,893/598 is 1/8372.

Greatest Common Factor of 549,893

To find the highest common factor of 549,893, we have to find the factors of both numbers and list the highest common factor.

The factors of 549 are 1, 3, 9, 61, 183, 549

The factors of 893 are 1, 19, 47, 893

The HCF of 549,893 is 1.

Lets's calculate GCF of 549,893

Greatest Common Factor (GCF) of 549,893 By Common Division

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

Greatest Common Factor of 549,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,893 By Matching Biggest Common Factor Method

Now, list down the factors of 549

:

1,3,9,61,183,549

Now, list down the factors of 893

:

1,19,47,893

Greatest Common Factor

We found the factors 549,893 . The biggest common factor number is the GCF number.
So the greatest common factor 549,893 is 1.

Lets's calculate LCM of 28,598

Lowest Common Multiple of 28,598 using Common Division

2 28, 598
14, 299

∴ So the LCM of the given numbers is 2 x 14 x 299 = 8372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8372

Therefore, the GCF of Fractions 549/28,893/598 is 1/8372

Least Common Multiple of 28,598 with GCF Formula

Least Common Multiple of 28,598 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 28,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,598) = 2

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

GCF(28,598) x common factors =2 x 1 = 2

LCM(28,598) = ( 28 × 598 ) / 2

LCM(28,598) = 16744 / 2

LCM(28,598) = 8372


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FAQs on GCF of Fractions of 549/28, 893/598

1. What is the HCF of 549,893?

The HCF of 549,893 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 549/28, 893/598?

Answer: GCF of Numerators as per given numbers 549/28, 893/598 is

GCF of Numerators i.e. for 549,893 is 1

LCM of denominators i.e. for 28,598 is 8372.

Thus, GCF of Fractions is 1/8372.Finally, GCF of Fractions for 549/28, 893/598 is 1/8372.