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GCF of 595/564, 3029/2248

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 595/564, 3029/2248 i.e 1/316968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/564, 3029/2248.

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 595/564,3029/2248?

Given fractions are 595/564,3029/2248

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 595/564,3029/2248, numerators are 595,3029

Denominators are 564,2248

The GCF of 595,3029 is 1 .

LCM of 564,2248 is 316968.

The greatest common factor of 595/564,3029/2248 = [GCF of 595,3029]/[LCM of 564,2248]= 1/316968

Therefore, the GCF of 595/564,3029/2248 is 1/316968.

Greatest Common Factor of 595,3029

To find the highest common factor of 595,3029, 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 3029 are 1, 13, 233, 3029

The HCF of 595,3029 is 1.

Lets's calculate GCF of 595,3029

Greatest Common Factor (GCF) of 595,3029 By Common Division

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

Greatest Common Factor of 595,3029 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,3029 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 3029

:

1,13,233,3029

Greatest Common Factor

We found the factors 595,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 595,3029 is 1.

Lets's calculate LCM of 564,2248

Lowest Common Multiple of 564,2248 using Common Division

2 564, 2248
2 282, 1124
141, 562

∴ So the LCM of the given numbers is 2 x 2 x 141 x 562 = 316968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316968

Therefore, the GCF of Fractions 595/564,3029/2248 is 1/316968

Least Common Multiple of 564,2248 with GCF Formula

Least Common Multiple of 564,2248 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 564,2248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,2248) = 4

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

GCF(564,2248) x common factors =4 x 1 = 4

LCM(564,2248) = ( 564 × 2248 ) / 4

LCM(564,2248) = 1267872 / 4

LCM(564,2248) = 316968


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FAQs on GCF of Fractions of 595/564, 3029/2248

1. What is the HCF of 595,3029?

The HCF of 595,3029 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 595/564, 3029/2248?

Answer: GCF of Numerators as per given numbers 595/564, 3029/2248 is

GCF of Numerators i.e. for 595,3029 is 1

LCM of denominators i.e. for 564,2248 is 316968.

Thus, GCF of Fractions is 1/316968.Finally, GCF of Fractions for 595/564, 3029/2248 is 1/316968.