How to Find GCF of 991/758, 2272/205?

GCF of 991/758, 2272/205

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 991/758, 2272/205 i.e 1/155390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 991/758, 2272/205.

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 991/758,2272/205?

Given fractions are 991/758,2272/205

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 991/758,2272/205, numerators are 991,2272

Denominators are 758,205

The GCF of 991,2272 is 1 .

LCM of 758,205 is 155390.

The greatest common factor of 991/758,2272/205 = [GCF of 991,2272]/[LCM of 758,205]= 1/155390

Therefore, the GCF of 991/758,2272/205 is 1/155390.

Greatest Common Factor of 991,2272

To find the highest common factor of 991,2272, we have to find the factors of both numbers and list the highest common factor.

The factors of 991 are 1, 991

The factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272

The HCF of 991,2272 is 1.

Lets's calculate GCF of 991,2272

Greatest Common Factor (GCF) of 991,2272 By Common Division

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

Greatest Common Factor of 991,2272 By Matching Biggest Common Factor Method

Now, list down the factors of 991

1,991

Now, list down the factors of 2272

1,2,4,8,16,32,71,142,284,568,1136,2272

Greatest Common Factor

We found the factors 991,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 991,2272 is 1.

Lets's calculate LCM of 758,205

Lowest Common Multiple of 758,205 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155390

Therefore, the GCF of Fractions 991/758,2272/205 is 1/155390

Least Common Multiple of 758,205 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 758,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,205) = 1

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

GCF(758,205) x common factors =1 x 1 = 1

LCM(758,205) = ( 758 × 205 ) / 1

LCM(758,205) = 155390 / 1

LCM(758,205) = 155390

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FAQs on GCF of Fractions of 991/758, 2272/205

1. What is the HCF of 991,2272?

The HCF of 991,2272 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 991/758, 2272/205?

Answer: GCF of Numerators as per given numbers 991/758, 2272/205 is

GCF of Numerators i.e. for 991,2272 is 1

LCM of denominators i.e. for 758,205 is 155390.

Thus, GCF of Fractions is 1/155390.Finally, GCF of Fractions for 991/758, 2272/205 is 1/155390.