How to Find GCF of 4462/109, 9091/1423?

GCF of 4462/109, 9091/1423

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 4462/109, 9091/1423 i.e 1/155107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4462/109, 9091/1423.

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 4462/109,9091/1423?

Given fractions are 4462/109,9091/1423

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 4462/109,9091/1423, numerators are 4462,9091

Denominators are 109,1423

The GCF of 4462,9091 is 1 .

LCM of 109,1423 is 155107.

The greatest common factor of 4462/109,9091/1423 = [GCF of 4462,9091]/[LCM of 109,1423]= 1/155107

Therefore, the GCF of 4462/109,9091/1423 is 1/155107.

Greatest Common Factor of 4462,9091

To find the highest common factor of 4462,9091, we have to find the factors of both numbers and list the highest common factor.

The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462

The factors of 9091 are 1, 9091

The HCF of 4462,9091 is 1.

Lets's calculate GCF of 4462,9091

Greatest Common Factor (GCF) of 4462,9091 By Common Division

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

Greatest Common Factor of 4462,9091 By Matching Biggest Common Factor Method

Now, list down the factors of 4462

1,2,23,46,97,194,2231,4462

Now, list down the factors of 9091

1,9091

Greatest Common Factor

We found the factors 4462,9091 . The biggest common factor number is the GCF number.
So the greatest common factor 4462,9091 is 1.

Lets's calculate LCM of 109,1423

Lowest Common Multiple of 109,1423 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155107

Therefore, the GCF of Fractions 4462/109,9091/1423 is 1/155107

Least Common Multiple of 109,1423 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 109,1423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,1423) = 1

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

GCF(109,1423) x common factors =1 x 1 = 1

LCM(109,1423) = ( 109 × 1423 ) / 1

LCM(109,1423) = 155107 / 1

LCM(109,1423) = 155107

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FAQs on GCF of Fractions of 4462/109, 9091/1423

1. What is the HCF of 4462,9091?

The HCF of 4462,9091 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 4462/109, 9091/1423?

Answer: GCF of Numerators as per given numbers 4462/109, 9091/1423 is

GCF of Numerators i.e. for 4462,9091 is 1

LCM of denominators i.e. for 109,1423 is 155107.

Thus, GCF of Fractions is 1/155107.Finally, GCF of Fractions for 4462/109, 9091/1423 is 1/155107.