How to Find GCF of 8983/630, 5993/5701?

GCF of 8983/630, 5993/5701

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 8983/630, 5993/5701 i.e 13/3591630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8983/630, 5993/5701.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8983/630,5993/5701?

Given fractions are 8983/630,5993/5701

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 8983/630,5993/5701, numerators are 8983,5993

Denominators are 630,5701

The GCF of 8983,5993 is 13 .

LCM of 630,5701 is 3591630.

The greatest common factor of 8983/630,5993/5701 = [GCF of 8983,5993]/[LCM of 630,5701]= 13/3591630

Therefore, the GCF of 8983/630,5993/5701 is 13/3591630.

Greatest Common Factor of 8983,5993

To find the highest common factor of 8983,5993, we have to find the factors of both numbers and list the highest common factor.

The factors of 8983 are 1, 13, 691, 8983

The factors of 5993 are 1, 13, 461, 5993

The HCF of 8983,5993 is 13.

Lets's calculate GCF of 8983,5993

Greatest Common Factor (GCF) of 8983,5993 By Common Division

13	8983, 5993
	691, 461

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8983,5993 By Matching Biggest Common Factor Method

Now, list down the factors of 8983

1,13,691,8983

Now, list down the factors of 5993

1,13,461,5993

Greatest Common Factor

We found the factors 8983,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,5993 is 13.

Lets's calculate LCM of 630,5701

Lowest Common Multiple of 630,5701 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3591630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3591630

Therefore, the GCF of Fractions 8983/630,5993/5701 is 13/3591630

Least Common Multiple of 630,5701 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 630,5701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,5701) = 1

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

GCF(630,5701) x common factors =1 x 1 = 1

LCM(630,5701) = ( 630 × 5701 ) / 1

LCM(630,5701) = 3591630 / 1

LCM(630,5701) = 3591630

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FAQs on GCF of Fractions of 8983/630, 5993/5701

1. What is the HCF of 8983,5993?

The HCF of 8983,5993 is 13

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 8983/630, 5993/5701?

Answer: GCF of Numerators as per given numbers 8983/630, 5993/5701 is

GCF of Numerators i.e. for 8983,5993 is 13

LCM of denominators i.e. for 630,5701 is 3591630.

Thus, GCF of Fractions is 13/3591630.Finally, GCF of Fractions for 8983/630, 5993/5701 is 13/3591630.