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GCF of 452/28, 596/8319

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 452/28, 596/8319 i.e 4/232932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/28, 596/8319.

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 452/28,596/8319?

Given fractions are 452/28,596/8319

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 452/28,596/8319, numerators are 452,596

Denominators are 28,8319

The GCF of 452,596 is 4 .

LCM of 28,8319 is 232932.

The greatest common factor of 452/28,596/8319 = [GCF of 452,596]/[LCM of 28,8319]= 4/232932

Therefore, the GCF of 452/28,596/8319 is 4/232932.

Greatest Common Factor of 452,596

To find the highest common factor of 452,596, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

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

The HCF of 452,596 is 4.

Lets's calculate GCF of 452,596

Greatest Common Factor (GCF) of 452,596 By Common Division

2 452, 596
2 226, 298
113, 149

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

Greatest Common Factor of 452,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,596 By Matching Biggest Common Factor Method

Now, list down the factors of 452

:

1,2,4,113,226,452

Now, list down the factors of 596

:

1,2,4,149,298,596

Greatest Common Factor

We found the factors 452,596 . The biggest common factor number is the GCF number.
So the greatest common factor 452,596 is 4.

Lets's calculate LCM of 28,8319

Lowest Common Multiple of 28,8319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 232932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/232932

Therefore, the GCF of Fractions 452/28,596/8319 is 4/232932

Least Common Multiple of 28,8319 with GCF Formula

Least Common Multiple of 28,8319 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 28,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,8319) = 1

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

GCF(28,8319) x common factors =1 x 1 = 1

LCM(28,8319) = ( 28 × 8319 ) / 1

LCM(28,8319) = 232932 / 1

LCM(28,8319) = 232932


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FAQs on GCF of Fractions of 452/28, 596/8319

1. What is the HCF of 452,596?

The HCF of 452,596 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 452/28, 596/8319?

Answer: GCF of Numerators as per given numbers 452/28, 596/8319 is

GCF of Numerators i.e. for 452,596 is 4

LCM of denominators i.e. for 28,8319 is 232932.

Thus, GCF of Fractions is 4/232932.Finally, GCF of Fractions for 452/28, 596/8319 is 4/232932.