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GCF of 590/38, 838/7963

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 590/38, 838/7963 i.e 2/302594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/38, 838/7963.

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 590/38,838/7963?

Given fractions are 590/38,838/7963

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 590/38,838/7963, numerators are 590,838

Denominators are 38,7963

The GCF of 590,838 is 2 .

LCM of 38,7963 is 302594.

The greatest common factor of 590/38,838/7963 = [GCF of 590,838]/[LCM of 38,7963]= 2/302594

Therefore, the GCF of 590/38,838/7963 is 2/302594.

Greatest Common Factor of 590,838

To find the highest common factor of 590,838, we have to find the factors of both numbers and list the highest common factor.

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The factors of 838 are 1, 2, 419, 838

The HCF of 590,838 is 2.

Lets's calculate GCF of 590,838

Greatest Common Factor (GCF) of 590,838 By Common Division

2 590, 838
295, 419

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

Greatest Common Factor of 590,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,838 By Matching Biggest Common Factor Method

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Now, list down the factors of 838

:

1,2,419,838

Greatest Common Factor

We found the factors 590,838 . The biggest common factor number is the GCF number.
So the greatest common factor 590,838 is 2.

Lets's calculate LCM of 38,7963

Lowest Common Multiple of 38,7963 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 302594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302594

Therefore, the GCF of Fractions 590/38,838/7963 is 2/302594

Least Common Multiple of 38,7963 with GCF Formula

Least Common Multiple of 38,7963 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 38,7963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7963) = 1

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

GCF(38,7963) x common factors =1 x 1 = 1

LCM(38,7963) = ( 38 × 7963 ) / 1

LCM(38,7963) = 302594 / 1

LCM(38,7963) = 302594


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FAQs on GCF of Fractions of 590/38, 838/7963

1. What is the HCF of 590,838?

The HCF of 590,838 is 2

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 590/38, 838/7963?

Answer: GCF of Numerators as per given numbers 590/38, 838/7963 is

GCF of Numerators i.e. for 590,838 is 2

LCM of denominators i.e. for 38,7963 is 302594.

Thus, GCF of Fractions is 2/302594.Finally, GCF of Fractions for 590/38, 838/7963 is 2/302594.