How to Find GCF of 8855/703, 2449/8625?

GCF of 8855/703, 2449/8625

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 8855/703, 2449/8625 i.e 1/6063375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8855/703, 2449/8625.

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 8855/703,2449/8625?

Given fractions are 8855/703,2449/8625

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 8855/703,2449/8625, numerators are 8855,2449

Denominators are 703,8625

The GCF of 8855,2449 is 1 .

LCM of 703,8625 is 6063375.

The greatest common factor of 8855/703,2449/8625 = [GCF of 8855,2449]/[LCM of 703,8625]= 1/6063375

Therefore, the GCF of 8855/703,2449/8625 is 1/6063375.

Greatest Common Factor of 8855,2449

To find the highest common factor of 8855,2449, we have to find the factors of both numbers and list the highest common factor.

The factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855

The factors of 2449 are 1, 31, 79, 2449

The HCF of 8855,2449 is 1.

Lets's calculate GCF of 8855,2449

Greatest Common Factor (GCF) of 8855,2449 By Common Division

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

Greatest Common Factor of 8855,2449 By Matching Biggest Common Factor Method

Now, list down the factors of 8855

1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855

Now, list down the factors of 2449

1,31,79,2449

Greatest Common Factor

We found the factors 8855,2449 . The biggest common factor number is the GCF number.
So the greatest common factor 8855,2449 is 1.

Lets's calculate LCM of 703,8625

Lowest Common Multiple of 703,8625 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6063375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6063375

Therefore, the GCF of Fractions 8855/703,2449/8625 is 1/6063375

Least Common Multiple of 703,8625 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 703,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,8625) = 1

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

GCF(703,8625) x common factors =1 x 1 = 1

LCM(703,8625) = ( 703 × 8625 ) / 1

LCM(703,8625) = 6063375 / 1

LCM(703,8625) = 6063375

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8855/703, 2449/8625

1. What is the HCF of 8855,2449?

The HCF of 8855,2449 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 8855/703, 2449/8625?

Answer: GCF of Numerators as per given numbers 8855/703, 2449/8625 is

GCF of Numerators i.e. for 8855,2449 is 1

LCM of denominators i.e. for 703,8625 is 6063375.

Thus, GCF of Fractions is 1/6063375.Finally, GCF of Fractions for 8855/703, 2449/8625 is 1/6063375.