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GCF of 599/792, 4138/7452

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 599/792, 4138/7452 i.e 1/163944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/792, 4138/7452.

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 599/792,4138/7452?

Given fractions are 599/792,4138/7452

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 599/792,4138/7452, numerators are 599,4138

Denominators are 792,7452

The GCF of 599,4138 is 1 .

LCM of 792,7452 is 163944.

The greatest common factor of 599/792,4138/7452 = [GCF of 599,4138]/[LCM of 792,7452]= 1/163944

Therefore, the GCF of 599/792,4138/7452 is 1/163944.

Greatest Common Factor of 599,4138

To find the highest common factor of 599,4138, we have to find the factors of both numbers and list the highest common factor.

The factors of 599 are 1, 599

The factors of 4138 are 1, 2, 2069, 4138

The HCF of 599,4138 is 1.

Lets's calculate GCF of 599,4138

Greatest Common Factor (GCF) of 599,4138 By Common Division

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

Greatest Common Factor of 599,4138 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,4138 By Matching Biggest Common Factor Method

Now, list down the factors of 599

:

1,599

Now, list down the factors of 4138

:

1,2,2069,4138

Greatest Common Factor

We found the factors 599,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 599,4138 is 1.

Lets's calculate LCM of 792,7452

Lowest Common Multiple of 792,7452 using Common Division

2 792, 7452
2 396, 3726
3 198, 1863
3 66, 621
22, 207

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 22 x 207 = 163944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163944

Therefore, the GCF of Fractions 599/792,4138/7452 is 1/163944

Least Common Multiple of 792,7452 with GCF Formula

Least Common Multiple of 792,7452 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 792,7452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,7452) = 36

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

GCF(792,7452) x common factors =36 x 1 = 36

LCM(792,7452) = ( 792 × 7452 ) / 36

LCM(792,7452) = 5901984 / 36

LCM(792,7452) = 163944


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FAQs on GCF of Fractions of 599/792, 4138/7452

1. What is the HCF of 599,4138?

The HCF of 599,4138 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 599/792, 4138/7452?

Answer: GCF of Numerators as per given numbers 599/792, 4138/7452 is

GCF of Numerators i.e. for 599,4138 is 1

LCM of denominators i.e. for 792,7452 is 163944.

Thus, GCF of Fractions is 1/163944.Finally, GCF of Fractions for 599/792, 4138/7452 is 1/163944.