How to Find GCF of 4269/991, 1597/3789?

GCF of 4269/991, 1597/3789

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 4269/991, 1597/3789 i.e 1/3754899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4269/991, 1597/3789.

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 4269/991,1597/3789?

Given fractions are 4269/991,1597/3789

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 4269/991,1597/3789, numerators are 4269,1597

Denominators are 991,3789

The GCF of 4269,1597 is 1 .

LCM of 991,3789 is 3754899.

The greatest common factor of 4269/991,1597/3789 = [GCF of 4269,1597]/[LCM of 991,3789]= 1/3754899

Therefore, the GCF of 4269/991,1597/3789 is 1/3754899.

Greatest Common Factor of 4269,1597

To find the highest common factor of 4269,1597, we have to find the factors of both numbers and list the highest common factor.

The factors of 4269 are 1, 3, 1423, 4269

The factors of 1597 are 1, 1597

The HCF of 4269,1597 is 1.

Lets's calculate GCF of 4269,1597

Greatest Common Factor (GCF) of 4269,1597 By Common Division

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

Greatest Common Factor of 4269,1597 By Matching Biggest Common Factor Method

Now, list down the factors of 4269

1,3,1423,4269

Now, list down the factors of 1597

1,1597

Greatest Common Factor

We found the factors 4269,1597 . The biggest common factor number is the GCF number.
So the greatest common factor 4269,1597 is 1.

Lets's calculate LCM of 991,3789

Lowest Common Multiple of 991,3789 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3754899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3754899

Therefore, the GCF of Fractions 4269/991,1597/3789 is 1/3754899

Least Common Multiple of 991,3789 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 991,3789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,3789) = 1

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

GCF(991,3789) x common factors =1 x 1 = 1

LCM(991,3789) = ( 991 × 3789 ) / 1

LCM(991,3789) = 3754899 / 1

LCM(991,3789) = 3754899

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FAQs on GCF of Fractions of 4269/991, 1597/3789

1. What is the HCF of 4269,1597?

The HCF of 4269,1597 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 4269/991, 1597/3789?

Answer: GCF of Numerators as per given numbers 4269/991, 1597/3789 is

GCF of Numerators i.e. for 4269,1597 is 1

LCM of denominators i.e. for 991,3789 is 3754899.

Thus, GCF of Fractions is 1/3754899.Finally, GCF of Fractions for 4269/991, 1597/3789 is 1/3754899.