How to Find GCF of 1091/356, 6438/8153?

GCF of 1091/356, 6438/8153

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 1091/356, 6438/8153 i.e 1/2902468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1091/356, 6438/8153.

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 1091/356,6438/8153?

Given fractions are 1091/356,6438/8153

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 1091/356,6438/8153, numerators are 1091,6438

Denominators are 356,8153

The GCF of 1091,6438 is 1 .

LCM of 356,8153 is 2902468.

The greatest common factor of 1091/356,6438/8153 = [GCF of 1091,6438]/[LCM of 356,8153]= 1/2902468

Therefore, the GCF of 1091/356,6438/8153 is 1/2902468.

Greatest Common Factor of 1091,6438

To find the highest common factor of 1091,6438, we have to find the factors of both numbers and list the highest common factor.

The factors of 1091 are 1, 1091

The factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438

The HCF of 1091,6438 is 1.

Lets's calculate GCF of 1091,6438

Greatest Common Factor (GCF) of 1091,6438 By Common Division

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

Greatest Common Factor of 1091,6438 By Matching Biggest Common Factor Method

Now, list down the factors of 1091

1,1091

Now, list down the factors of 6438

1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438

Greatest Common Factor

We found the factors 1091,6438 . The biggest common factor number is the GCF number.
So the greatest common factor 1091,6438 is 1.

Lets's calculate LCM of 356,8153

Lowest Common Multiple of 356,8153 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2902468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2902468

Therefore, the GCF of Fractions 1091/356,6438/8153 is 1/2902468

Least Common Multiple of 356,8153 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 356,8153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,8153) = 1

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

GCF(356,8153) x common factors =1 x 1 = 1

LCM(356,8153) = ( 356 × 8153 ) / 1

LCM(356,8153) = 2902468 / 1

LCM(356,8153) = 2902468

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FAQs on GCF of Fractions of 1091/356, 6438/8153

1. What is the HCF of 1091,6438?

The HCF of 1091,6438 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 1091/356, 6438/8153?

Answer: GCF of Numerators as per given numbers 1091/356, 6438/8153 is

GCF of Numerators i.e. for 1091,6438 is 1

LCM of denominators i.e. for 356,8153 is 2902468.

Thus, GCF of Fractions is 1/2902468.Finally, GCF of Fractions for 1091/356, 6438/8153 is 1/2902468.