How to Find GCF of 1991/294, 4357/1566?

GCF of 1991/294, 4357/1566

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 1991/294, 4357/1566 i.e 1/76734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1991/294, 4357/1566.

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 1991/294,4357/1566?

Given fractions are 1991/294,4357/1566

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 1991/294,4357/1566, numerators are 1991,4357

Denominators are 294,1566

The GCF of 1991,4357 is 1 .

LCM of 294,1566 is 76734.

The greatest common factor of 1991/294,4357/1566 = [GCF of 1991,4357]/[LCM of 294,1566]= 1/76734

Therefore, the GCF of 1991/294,4357/1566 is 1/76734.

Greatest Common Factor of 1991,4357

To find the highest common factor of 1991,4357, we have to find the factors of both numbers and list the highest common factor.

The factors of 1991 are 1, 11, 181, 1991

The factors of 4357 are 1, 4357

The HCF of 1991,4357 is 1.

Lets's calculate GCF of 1991,4357

Greatest Common Factor (GCF) of 1991,4357 By Common Division

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

Greatest Common Factor of 1991,4357 By Matching Biggest Common Factor Method

Now, list down the factors of 1991

1,11,181,1991

Now, list down the factors of 4357

1,4357

Greatest Common Factor

We found the factors 1991,4357 . The biggest common factor number is the GCF number.
So the greatest common factor 1991,4357 is 1.

Lets's calculate LCM of 294,1566

Lowest Common Multiple of 294,1566 using Common Division

2	294, 1566
3	147, 783
	49, 261

∴ So the LCM of the given numbers is 2 x 3 x 49 x 261 = 76734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76734

Therefore, the GCF of Fractions 1991/294,4357/1566 is 1/76734

Least Common Multiple of 294,1566 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 294,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,1566) = 6

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

GCF(294,1566) x common factors =6 x 1 = 6

LCM(294,1566) = ( 294 × 1566 ) / 6

LCM(294,1566) = 460404 / 6

LCM(294,1566) = 76734

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FAQs on GCF of Fractions of 1991/294, 4357/1566

1. What is the HCF of 1991,4357?

The HCF of 1991,4357 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 1991/294, 4357/1566?

Answer: GCF of Numerators as per given numbers 1991/294, 4357/1566 is

GCF of Numerators i.e. for 1991,4357 is 1

LCM of denominators i.e. for 294,1566 is 76734.

Thus, GCF of Fractions is 1/76734.Finally, GCF of Fractions for 1991/294, 4357/1566 is 1/76734.