How to Find GCF of 1510/792, 1993/3818?

GCF of 1510/792, 1993/3818

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 1510/792, 1993/3818 i.e 1/1511928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1510/792, 1993/3818.

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 1510/792,1993/3818?

Given fractions are 1510/792,1993/3818

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 1510/792,1993/3818, numerators are 1510,1993

Denominators are 792,3818

The GCF of 1510,1993 is 1 .

LCM of 792,3818 is 1511928.

The greatest common factor of 1510/792,1993/3818 = [GCF of 1510,1993]/[LCM of 792,3818]= 1/1511928

Therefore, the GCF of 1510/792,1993/3818 is 1/1511928.

Greatest Common Factor of 1510,1993

To find the highest common factor of 1510,1993, we have to find the factors of both numbers and list the highest common factor.

The factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510

The factors of 1993 are 1, 1993

The HCF of 1510,1993 is 1.

Lets's calculate GCF of 1510,1993

Greatest Common Factor (GCF) of 1510,1993 By Common Division

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

Greatest Common Factor of 1510,1993 By Matching Biggest Common Factor Method

Now, list down the factors of 1510

1,2,5,10,151,302,755,1510

Now, list down the factors of 1993

1,1993

Greatest Common Factor

We found the factors 1510,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 1510,1993 is 1.

Lets's calculate LCM of 792,3818

Lowest Common Multiple of 792,3818 using Common Division

2	792, 3818
	396, 1909

∴ So the LCM of the given numbers is 2 x 396 x 1909 = 1511928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511928

Therefore, the GCF of Fractions 1510/792,1993/3818 is 1/1511928

Least Common Multiple of 792,3818 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 792,3818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,3818) = 2

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

GCF(792,3818) x common factors =2 x 1 = 2

LCM(792,3818) = ( 792 × 3818 ) / 2

LCM(792,3818) = 3023856 / 2

LCM(792,3818) = 1511928

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FAQs on GCF of Fractions of 1510/792, 1993/3818

1. What is the HCF of 1510,1993?

The HCF of 1510,1993 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 1510/792, 1993/3818?

Answer: GCF of Numerators as per given numbers 1510/792, 1993/3818 is

GCF of Numerators i.e. for 1510,1993 is 1

LCM of denominators i.e. for 792,3818 is 1511928.

Thus, GCF of Fractions is 1/1511928.Finally, GCF of Fractions for 1510/792, 1993/3818 is 1/1511928.