How to Find GCF of 9523/155, 3786/6711?

GCF of 9523/155, 3786/6711

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 9523/155, 3786/6711 i.e 1/1040205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9523/155, 3786/6711.

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 9523/155,3786/6711?

Given fractions are 9523/155,3786/6711

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 9523/155,3786/6711, numerators are 9523,3786

Denominators are 155,6711

The GCF of 9523,3786 is 1 .

LCM of 155,6711 is 1040205.

The greatest common factor of 9523/155,3786/6711 = [GCF of 9523,3786]/[LCM of 155,6711]= 1/1040205

Therefore, the GCF of 9523/155,3786/6711 is 1/1040205.

Greatest Common Factor of 9523,3786

To find the highest common factor of 9523,3786, we have to find the factors of both numbers and list the highest common factor.

The factors of 9523 are 1, 89, 107, 9523

The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786

The HCF of 9523,3786 is 1.

Lets's calculate GCF of 9523,3786

Greatest Common Factor (GCF) of 9523,3786 By Common Division

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

Greatest Common Factor of 9523,3786 By Matching Biggest Common Factor Method

Now, list down the factors of 9523

1,89,107,9523

Now, list down the factors of 3786

1,2,3,6,631,1262,1893,3786

Greatest Common Factor

We found the factors 9523,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 9523,3786 is 1.

Lets's calculate LCM of 155,6711

Lowest Common Multiple of 155,6711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1040205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040205

Therefore, the GCF of Fractions 9523/155,3786/6711 is 1/1040205

Least Common Multiple of 155,6711 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 155,6711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,6711) = 1

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

GCF(155,6711) x common factors =1 x 1 = 1

LCM(155,6711) = ( 155 × 6711 ) / 1

LCM(155,6711) = 1040205 / 1

LCM(155,6711) = 1040205

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FAQs on GCF of Fractions of 9523/155, 3786/6711

1. What is the HCF of 9523,3786?

The HCF of 9523,3786 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 9523/155, 3786/6711?

Answer: GCF of Numerators as per given numbers 9523/155, 3786/6711 is

GCF of Numerators i.e. for 9523,3786 is 1

LCM of denominators i.e. for 155,6711 is 1040205.

Thus, GCF of Fractions is 1/1040205.Finally, GCF of Fractions for 9523/155, 3786/6711 is 1/1040205.