How to Find GCF of 595/272, 2159/4500?

GCF of 595/272, 2159/4500

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 595/272, 2159/4500 i.e 17/306000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/272, 2159/4500.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 595/272,2159/4500?

Given fractions are 595/272,2159/4500

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 595/272,2159/4500, numerators are 595,2159

Denominators are 272,4500

The GCF of 595,2159 is 17 .

LCM of 272,4500 is 306000.

The greatest common factor of 595/272,2159/4500 = [GCF of 595,2159]/[LCM of 272,4500]= 17/306000

Therefore, the GCF of 595/272,2159/4500 is 17/306000.

Greatest Common Factor of 595,2159

To find the highest common factor of 595,2159, we have to find the factors of both numbers and list the highest common factor.

The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595

The factors of 2159 are 1, 17, 127, 2159

The HCF of 595,2159 is 17.

Lets's calculate GCF of 595,2159

Greatest Common Factor (GCF) of 595,2159 By Common Division

17	595, 2159
	35, 127

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 595,2159 By Matching Biggest Common Factor Method

Now, list down the factors of 595

1,5,7,17,35,85,119,595

Now, list down the factors of 2159

1,17,127,2159

Greatest Common Factor

We found the factors 595,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 595,2159 is 17.

Lets's calculate LCM of 272,4500

Lowest Common Multiple of 272,4500 using Common Division

2	272, 4500
2	136, 2250
	68, 1125

∴ So the LCM of the given numbers is 2 x 2 x 68 x 1125 = 306000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/306000

Therefore, the GCF of Fractions 595/272,2159/4500 is 17/306000

Least Common Multiple of 272,4500 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 272,4500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,4500) = 4

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

GCF(272,4500) x common factors =4 x 1 = 4

LCM(272,4500) = ( 272 × 4500 ) / 4

LCM(272,4500) = 1224000 / 4

LCM(272,4500) = 306000

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FAQs on GCF of Fractions of 595/272, 2159/4500

1. What is the HCF of 595,2159?

The HCF of 595,2159 is 17

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 595/272, 2159/4500?

Answer: GCF of Numerators as per given numbers 595/272, 2159/4500 is

GCF of Numerators i.e. for 595,2159 is 17

LCM of denominators i.e. for 272,4500 is 306000.

Thus, GCF of Fractions is 17/306000.Finally, GCF of Fractions for 595/272, 2159/4500 is 17/306000.