How to Find GCF of 23/887, 6567/8155?

GCF of 23/887, 6567/8155

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 23/887, 6567/8155 i.e 1/7233485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/887, 6567/8155.

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 23/887,6567/8155?

Given fractions are 23/887,6567/8155

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 23/887,6567/8155, numerators are 23,6567

Denominators are 887,8155

The GCF of 23,6567 is 1 .

LCM of 887,8155 is 7233485.

The greatest common factor of 23/887,6567/8155 = [GCF of 23,6567]/[LCM of 887,8155]= 1/7233485

Therefore, the GCF of 23/887,6567/8155 is 1/7233485.

Greatest Common Factor of 23,6567

To find the highest common factor of 23,6567, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567

The HCF of 23,6567 is 1.

Lets's calculate GCF of 23,6567

Greatest Common Factor (GCF) of 23,6567 By Common Division

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

Greatest Common Factor of 23,6567 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 6567

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 23,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 23,6567 is 1.

Lets's calculate LCM of 887,8155

Lowest Common Multiple of 887,8155 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7233485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7233485

Therefore, the GCF of Fractions 23/887,6567/8155 is 1/7233485

Least Common Multiple of 887,8155 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 887,8155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(887,8155) = 1

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

GCF(887,8155) x common factors =1 x 1 = 1

LCM(887,8155) = ( 887 × 8155 ) / 1

LCM(887,8155) = 7233485 / 1

LCM(887,8155) = 7233485

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FAQs on GCF of Fractions of 23/887, 6567/8155

1. What is the HCF of 23,6567?

The HCF of 23,6567 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 23/887, 6567/8155?

Answer: GCF of Numerators as per given numbers 23/887, 6567/8155 is

GCF of Numerators i.e. for 23,6567 is 1

LCM of denominators i.e. for 887,8155 is 7233485.

Thus, GCF of Fractions is 1/7233485.Finally, GCF of Fractions for 23/887, 6567/8155 is 1/7233485.