How to Find GCF of 1225/381, 8789/6556?

GCF of 1225/381, 8789/6556

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 1225/381, 8789/6556 i.e 1/2497836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1225/381, 8789/6556.

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 1225/381,8789/6556?

Given fractions are 1225/381,8789/6556

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 1225/381,8789/6556, numerators are 1225,8789

Denominators are 381,6556

The GCF of 1225,8789 is 1 .

LCM of 381,6556 is 2497836.

The greatest common factor of 1225/381,8789/6556 = [GCF of 1225,8789]/[LCM of 381,6556]= 1/2497836

Therefore, the GCF of 1225/381,8789/6556 is 1/2497836.

Greatest Common Factor of 1225,8789

To find the highest common factor of 1225,8789, we have to find the factors of both numbers and list the highest common factor.

The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225

The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789

The HCF of 1225,8789 is 1.

Lets's calculate GCF of 1225,8789

Greatest Common Factor (GCF) of 1225,8789 By Common Division

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

Greatest Common Factor of 1225,8789 By Matching Biggest Common Factor Method

Now, list down the factors of 1225

1,5,7,25,35,49,175,245,1225

Now, list down the factors of 8789

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 1225,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 1225,8789 is 1.

Lets's calculate LCM of 381,6556

Lowest Common Multiple of 381,6556 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2497836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2497836

Therefore, the GCF of Fractions 1225/381,8789/6556 is 1/2497836

Least Common Multiple of 381,6556 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 381,6556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,6556) = 1

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

GCF(381,6556) x common factors =1 x 1 = 1

LCM(381,6556) = ( 381 × 6556 ) / 1

LCM(381,6556) = 2497836 / 1

LCM(381,6556) = 2497836

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1225/381, 8789/6556

1. What is the HCF of 1225,8789?

The HCF of 1225,8789 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 1225/381, 8789/6556?

Answer: GCF of Numerators as per given numbers 1225/381, 8789/6556 is

GCF of Numerators i.e. for 1225,8789 is 1

LCM of denominators i.e. for 381,6556 is 2497836.

Thus, GCF of Fractions is 1/2497836.Finally, GCF of Fractions for 1225/381, 8789/6556 is 1/2497836.