How to Find GCF of 152/405, 8663/764?

GCF of 152/405, 8663/764

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 152/405, 8663/764 i.e 1/309420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 152/405, 8663/764.

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 152/405,8663/764?

Given fractions are 152/405,8663/764

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 152/405,8663/764, numerators are 152,8663

Denominators are 405,764

The GCF of 152,8663 is 1 .

LCM of 405,764 is 309420.

The greatest common factor of 152/405,8663/764 = [GCF of 152,8663]/[LCM of 405,764]= 1/309420

Therefore, the GCF of 152/405,8663/764 is 1/309420.

Greatest Common Factor of 152,8663

To find the highest common factor of 152,8663, we have to find the factors of both numbers and list the highest common factor.

The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152

The factors of 8663 are 1, 8663

The HCF of 152,8663 is 1.

Lets's calculate GCF of 152,8663

Greatest Common Factor (GCF) of 152,8663 By Common Division

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

Greatest Common Factor of 152,8663 By Matching Biggest Common Factor Method

Now, list down the factors of 152

1,2,4,8,19,38,76,152

Now, list down the factors of 8663

1,8663

Greatest Common Factor

We found the factors 152,8663 . The biggest common factor number is the GCF number.
So the greatest common factor 152,8663 is 1.

Lets's calculate LCM of 405,764

Lowest Common Multiple of 405,764 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 309420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309420

Therefore, the GCF of Fractions 152/405,8663/764 is 1/309420

Least Common Multiple of 405,764 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 405,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,764) = 1

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

GCF(405,764) x common factors =1 x 1 = 1

LCM(405,764) = ( 405 × 764 ) / 1

LCM(405,764) = 309420 / 1

LCM(405,764) = 309420

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FAQs on GCF of Fractions of 152/405, 8663/764

1. What is the HCF of 152,8663?

The HCF of 152,8663 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 152/405, 8663/764?

Answer: GCF of Numerators as per given numbers 152/405, 8663/764 is

GCF of Numerators i.e. for 152,8663 is 1

LCM of denominators i.e. for 405,764 is 309420.

Thus, GCF of Fractions is 1/309420.Finally, GCF of Fractions for 152/405, 8663/764 is 1/309420.