How to Find GCF of 1993/794, 5328/6018?

GCF of 1993/794, 5328/6018

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 1993/794, 5328/6018 i.e 1/2389146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1993/794, 5328/6018.

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 1993/794,5328/6018?

Given fractions are 1993/794,5328/6018

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 1993/794,5328/6018, numerators are 1993,5328

Denominators are 794,6018

The GCF of 1993,5328 is 1 .

LCM of 794,6018 is 2389146.

The greatest common factor of 1993/794,5328/6018 = [GCF of 1993,5328]/[LCM of 794,6018]= 1/2389146

Therefore, the GCF of 1993/794,5328/6018 is 1/2389146.

Greatest Common Factor of 1993,5328

To find the highest common factor of 1993,5328, we have to find the factors of both numbers and list the highest common factor.

The factors of 1993 are 1, 1993

The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328

The HCF of 1993,5328 is 1.

Lets's calculate GCF of 1993,5328

Greatest Common Factor (GCF) of 1993,5328 By Common Division

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

Greatest Common Factor of 1993,5328 By Matching Biggest Common Factor Method

Now, list down the factors of 1993

1,1993

Now, list down the factors of 5328

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors 1993,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 1993,5328 is 1.

Lets's calculate LCM of 794,6018

Lowest Common Multiple of 794,6018 using Common Division

2	794, 6018
	397, 3009

∴ So the LCM of the given numbers is 2 x 397 x 3009 = 2389146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2389146

Therefore, the GCF of Fractions 1993/794,5328/6018 is 1/2389146

Least Common Multiple of 794,6018 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 794,6018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,6018) = 2

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

GCF(794,6018) x common factors =2 x 1 = 2

LCM(794,6018) = ( 794 × 6018 ) / 2

LCM(794,6018) = 4778292 / 2

LCM(794,6018) = 2389146

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1993/794, 5328/6018

1. What is the HCF of 1993,5328?

The HCF of 1993,5328 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 1993/794, 5328/6018?

Answer: GCF of Numerators as per given numbers 1993/794, 5328/6018 is

GCF of Numerators i.e. for 1993,5328 is 1

LCM of denominators i.e. for 794,6018 is 2389146.

Thus, GCF of Fractions is 1/2389146.Finally, GCF of Fractions for 1993/794, 5328/6018 is 1/2389146.