How to Find GCF of 1151/572, 8025/6989?

GCF of 1151/572, 8025/6989

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 1151/572, 8025/6989 i.e 1/3997708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1151/572, 8025/6989.

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 1151/572,8025/6989?

Given fractions are 1151/572,8025/6989

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 1151/572,8025/6989, numerators are 1151,8025

Denominators are 572,6989

The GCF of 1151,8025 is 1 .

LCM of 572,6989 is 3997708.

The greatest common factor of 1151/572,8025/6989 = [GCF of 1151,8025]/[LCM of 572,6989]= 1/3997708

Therefore, the GCF of 1151/572,8025/6989 is 1/3997708.

Greatest Common Factor of 1151,8025

To find the highest common factor of 1151,8025, we have to find the factors of both numbers and list the highest common factor.

The factors of 1151 are 1, 1151

The factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025

The HCF of 1151,8025 is 1.

Lets's calculate GCF of 1151,8025

Greatest Common Factor (GCF) of 1151,8025 By Common Division

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

Greatest Common Factor of 1151,8025 By Matching Biggest Common Factor Method

Now, list down the factors of 1151

1,1151

Now, list down the factors of 8025

1,3,5,15,25,75,107,321,535,1605,2675,8025

Greatest Common Factor

We found the factors 1151,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 1151,8025 is 1.

Lets's calculate LCM of 572,6989

Lowest Common Multiple of 572,6989 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3997708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3997708

Therefore, the GCF of Fractions 1151/572,8025/6989 is 1/3997708

Least Common Multiple of 572,6989 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 572,6989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,6989) = 1

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

GCF(572,6989) x common factors =1 x 1 = 1

LCM(572,6989) = ( 572 × 6989 ) / 1

LCM(572,6989) = 3997708 / 1

LCM(572,6989) = 3997708

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1151/572, 8025/6989

1. What is the HCF of 1151,8025?

The HCF of 1151,8025 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 1151/572, 8025/6989?

Answer: GCF of Numerators as per given numbers 1151/572, 8025/6989 is

GCF of Numerators i.e. for 1151,8025 is 1

LCM of denominators i.e. for 572,6989 is 3997708.

Thus, GCF of Fractions is 1/3997708.Finally, GCF of Fractions for 1151/572, 8025/6989 is 1/3997708.