How to Find GCF of 927/969, 9863/7556?

GCF of 927/969, 9863/7556

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 927/969, 9863/7556 i.e 1/7321764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/969, 9863/7556.

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 927/969,9863/7556?

Given fractions are 927/969,9863/7556

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 927/969,9863/7556, numerators are 927,9863

Denominators are 969,7556

The GCF of 927,9863 is 1 .

LCM of 969,7556 is 7321764.

The greatest common factor of 927/969,9863/7556 = [GCF of 927,9863]/[LCM of 969,7556]= 1/7321764

Therefore, the GCF of 927/969,9863/7556 is 1/7321764.

Greatest Common Factor of 927,9863

To find the highest common factor of 927,9863, we have to find the factors of both numbers and list the highest common factor.

The factors of 927 are 1, 3, 9, 103, 309, 927

The factors of 9863 are 1, 7, 1409, 9863

The HCF of 927,9863 is 1.

Lets's calculate GCF of 927,9863

Greatest Common Factor (GCF) of 927,9863 By Common Division

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

Greatest Common Factor of 927,9863 By Matching Biggest Common Factor Method

Now, list down the factors of 927

1,3,9,103,309,927

Now, list down the factors of 9863

1,7,1409,9863

Greatest Common Factor

We found the factors 927,9863 . The biggest common factor number is the GCF number.
So the greatest common factor 927,9863 is 1.

Lets's calculate LCM of 969,7556

Lowest Common Multiple of 969,7556 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7321764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7321764

Therefore, the GCF of Fractions 927/969,9863/7556 is 1/7321764

Least Common Multiple of 969,7556 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 969,7556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,7556) = 1

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

GCF(969,7556) x common factors =1 x 1 = 1

LCM(969,7556) = ( 969 × 7556 ) / 1

LCM(969,7556) = 7321764 / 1

LCM(969,7556) = 7321764

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 927/969, 9863/7556

1. What is the HCF of 927,9863?

The HCF of 927,9863 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 927/969, 9863/7556?

Answer: GCF of Numerators as per given numbers 927/969, 9863/7556 is

GCF of Numerators i.e. for 927,9863 is 1

LCM of denominators i.e. for 969,7556 is 7321764.

Thus, GCF of Fractions is 1/7321764.Finally, GCF of Fractions for 927/969, 9863/7556 is 1/7321764.