How to Find GCF of 89/901, 8152/6743?

GCF of 89/901, 8152/6743

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 89/901, 8152/6743 i.e 1/6075443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/901, 8152/6743.

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 89/901,8152/6743?

Given fractions are 89/901,8152/6743

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 89/901,8152/6743, numerators are 89,8152

Denominators are 901,6743

The GCF of 89,8152 is 1 .

LCM of 901,6743 is 6075443.

The greatest common factor of 89/901,8152/6743 = [GCF of 89,8152]/[LCM of 901,6743]= 1/6075443

Therefore, the GCF of 89/901,8152/6743 is 1/6075443.

Greatest Common Factor of 89,8152

To find the highest common factor of 89,8152, we have to find the factors of both numbers and list the highest common factor.

The factors of 89 are 1, 89

The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152

The HCF of 89,8152 is 1.

Lets's calculate GCF of 89,8152

Greatest Common Factor (GCF) of 89,8152 By Common Division

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

Greatest Common Factor of 89,8152 By Matching Biggest Common Factor Method

Now, list down the factors of 89

1,89

Now, list down the factors of 8152

1,2,4,8,1019,2038,4076,8152

Greatest Common Factor

We found the factors 89,8152 . The biggest common factor number is the GCF number.
So the greatest common factor 89,8152 is 1.

Lets's calculate LCM of 901,6743

Lowest Common Multiple of 901,6743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6075443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6075443

Therefore, the GCF of Fractions 89/901,8152/6743 is 1/6075443

Least Common Multiple of 901,6743 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 901,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,6743) = 1

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

GCF(901,6743) x common factors =1 x 1 = 1

LCM(901,6743) = ( 901 × 6743 ) / 1

LCM(901,6743) = 6075443 / 1

LCM(901,6743) = 6075443

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FAQs on GCF of Fractions of 89/901, 8152/6743

1. What is the HCF of 89,8152?

The HCF of 89,8152 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 89/901, 8152/6743?

Answer: GCF of Numerators as per given numbers 89/901, 8152/6743 is

GCF of Numerators i.e. for 89,8152 is 1

LCM of denominators i.e. for 901,6743 is 6075443.

Thus, GCF of Fractions is 1/6075443.Finally, GCF of Fractions for 89/901, 8152/6743 is 1/6075443.