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GCF of 596/289, 348/914

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 596/289, 348/914 i.e 4/264146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 596/289, 348/914.

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 596/289,348/914?

Given fractions are 596/289,348/914

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 596/289,348/914, numerators are 596,348

Denominators are 289,914

The GCF of 596,348 is 4 .

LCM of 289,914 is 264146.

The greatest common factor of 596/289,348/914 = [GCF of 596,348]/[LCM of 289,914]= 4/264146

Therefore, the GCF of 596/289,348/914 is 4/264146.

Greatest Common Factor of 596,348

To find the highest common factor of 596,348, we have to find the factors of both numbers and list the highest common factor.

The factors of 596 are 1, 2, 4, 149, 298, 596

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The HCF of 596,348 is 4.

Lets's calculate GCF of 596,348

Greatest Common Factor (GCF) of 596,348 By Common Division

2 596, 348
2 298, 174
149, 87

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 596,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,348 By Matching Biggest Common Factor Method

Now, list down the factors of 596

:

1,2,4,149,298,596

Now, list down the factors of 348

:

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 596,348 . The biggest common factor number is the GCF number.
So the greatest common factor 596,348 is 4.

Lets's calculate LCM of 289,914

Lowest Common Multiple of 289,914 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 264146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/264146

Therefore, the GCF of Fractions 596/289,348/914 is 4/264146

Least Common Multiple of 289,914 with GCF Formula

Least Common Multiple of 289,914 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 289,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,914) = 1

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

GCF(289,914) x common factors =1 x 1 = 1

LCM(289,914) = ( 289 × 914 ) / 1

LCM(289,914) = 264146 / 1

LCM(289,914) = 264146


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FAQs on GCF of Fractions of 596/289, 348/914

1. What is the HCF of 596,348?

The HCF of 596,348 is 4

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 596/289, 348/914?

Answer: GCF of Numerators as per given numbers 596/289, 348/914 is

GCF of Numerators i.e. for 596,348 is 4

LCM of denominators i.e. for 289,914 is 264146.

Thus, GCF of Fractions is 4/264146.Finally, GCF of Fractions for 596/289, 348/914 is 4/264146.