How to Find GCF of 5993/851, 4690/9093?

GCF of 5993/851, 4690/9093

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 5993/851, 4690/9093 i.e 1/7738143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5993/851, 4690/9093.

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 5993/851,4690/9093?

Given fractions are 5993/851,4690/9093

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 5993/851,4690/9093, numerators are 5993,4690

Denominators are 851,9093

The GCF of 5993,4690 is 1 .

LCM of 851,9093 is 7738143.

The greatest common factor of 5993/851,4690/9093 = [GCF of 5993,4690]/[LCM of 851,9093]= 1/7738143

Therefore, the GCF of 5993/851,4690/9093 is 1/7738143.

Greatest Common Factor of 5993,4690

To find the highest common factor of 5993,4690, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690

The HCF of 5993,4690 is 1.

Lets's calculate GCF of 5993,4690

Greatest Common Factor (GCF) of 5993,4690 By Common Division

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

Greatest Common Factor of 5993,4690 By Matching Biggest Common Factor Method

Now, list down the factors of 5993

1,13,461,5993

Now, list down the factors of 4690

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Greatest Common Factor

We found the factors 5993,4690 . The biggest common factor number is the GCF number.
So the greatest common factor 5993,4690 is 1.

Lets's calculate LCM of 851,9093

Lowest Common Multiple of 851,9093 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7738143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7738143

Therefore, the GCF of Fractions 5993/851,4690/9093 is 1/7738143

Least Common Multiple of 851,9093 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 851,9093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,9093) = 1

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

GCF(851,9093) x common factors =1 x 1 = 1

LCM(851,9093) = ( 851 × 9093 ) / 1

LCM(851,9093) = 7738143 / 1

LCM(851,9093) = 7738143

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FAQs on GCF of Fractions of 5993/851, 4690/9093

1. What is the HCF of 5993,4690?

The HCF of 5993,4690 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 5993/851, 4690/9093?

Answer: GCF of Numerators as per given numbers 5993/851, 4690/9093 is

GCF of Numerators i.e. for 5993,4690 is 1

LCM of denominators i.e. for 851,9093 is 7738143.

Thus, GCF of Fractions is 1/7738143.Finally, GCF of Fractions for 5993/851, 4690/9093 is 1/7738143.