How to Find GCF of 1999/284, 3891/7094?

GCF of 1999/284, 3891/7094

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 1999/284, 3891/7094 i.e 1/1007348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1999/284, 3891/7094.

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 1999/284,3891/7094?

Given fractions are 1999/284,3891/7094

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 1999/284,3891/7094, numerators are 1999,3891

Denominators are 284,7094

The GCF of 1999,3891 is 1 .

LCM of 284,7094 is 1007348.

The greatest common factor of 1999/284,3891/7094 = [GCF of 1999,3891]/[LCM of 284,7094]= 1/1007348

Therefore, the GCF of 1999/284,3891/7094 is 1/1007348.

Greatest Common Factor of 1999,3891

To find the highest common factor of 1999,3891, we have to find the factors of both numbers and list the highest common factor.

The factors of 1999 are 1, 1999

The factors of 3891 are 1, 3, 1297, 3891

The HCF of 1999,3891 is 1.

Lets's calculate GCF of 1999,3891

Greatest Common Factor (GCF) of 1999,3891 By Common Division

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

Greatest Common Factor of 1999,3891 By Matching Biggest Common Factor Method

Now, list down the factors of 1999

1,1999

Now, list down the factors of 3891

1,3,1297,3891

Greatest Common Factor

We found the factors 1999,3891 . The biggest common factor number is the GCF number.
So the greatest common factor 1999,3891 is 1.

Lets's calculate LCM of 284,7094

Lowest Common Multiple of 284,7094 using Common Division

2	284, 7094
	142, 3547

∴ So the LCM of the given numbers is 2 x 142 x 3547 = 1007348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1007348

Therefore, the GCF of Fractions 1999/284,3891/7094 is 1/1007348

Least Common Multiple of 284,7094 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 284,7094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,7094) = 2

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

GCF(284,7094) x common factors =2 x 1 = 2

LCM(284,7094) = ( 284 × 7094 ) / 2

LCM(284,7094) = 2014696 / 2

LCM(284,7094) = 1007348

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FAQs on GCF of Fractions of 1999/284, 3891/7094

1. What is the HCF of 1999,3891?

The HCF of 1999,3891 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 1999/284, 3891/7094?

Answer: GCF of Numerators as per given numbers 1999/284, 3891/7094 is

GCF of Numerators i.e. for 1999,3891 is 1

LCM of denominators i.e. for 284,7094 is 1007348.

Thus, GCF of Fractions is 1/1007348.Finally, GCF of Fractions for 1999/284, 3891/7094 is 1/1007348.