How to Find GCF of 5649/516, 8789/2765?

GCF of 5649/516, 8789/2765

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 5649/516, 8789/2765 i.e 1/1426740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5649/516, 8789/2765.

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 5649/516,8789/2765?

Given fractions are 5649/516,8789/2765

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 5649/516,8789/2765, numerators are 5649,8789

Denominators are 516,2765

The GCF of 5649,8789 is 1 .

LCM of 516,2765 is 1426740.

The greatest common factor of 5649/516,8789/2765 = [GCF of 5649,8789]/[LCM of 516,2765]= 1/1426740

Therefore, the GCF of 5649/516,8789/2765 is 1/1426740.

Greatest Common Factor of 5649,8789

To find the highest common factor of 5649,8789, we have to find the factors of both numbers and list the highest common factor.

The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649

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

The HCF of 5649,8789 is 1.

Lets's calculate GCF of 5649,8789

Greatest Common Factor (GCF) of 5649,8789 By Common Division

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

Greatest Common Factor of 5649,8789 By Matching Biggest Common Factor Method

Now, list down the factors of 5649

1,3,7,21,269,807,1883,5649

Now, list down the factors of 8789

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

Greatest Common Factor

We found the factors 5649,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 5649,8789 is 1.

Lets's calculate LCM of 516,2765

Lowest Common Multiple of 516,2765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1426740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1426740

Therefore, the GCF of Fractions 5649/516,8789/2765 is 1/1426740

Least Common Multiple of 516,2765 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 516,2765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,2765) = 1

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

GCF(516,2765) x common factors =1 x 1 = 1

LCM(516,2765) = ( 516 × 2765 ) / 1

LCM(516,2765) = 1426740 / 1

LCM(516,2765) = 1426740

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5649/516, 8789/2765

1. What is the HCF of 5649,8789?

The HCF of 5649,8789 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 5649/516, 8789/2765?

Answer: GCF of Numerators as per given numbers 5649/516, 8789/2765 is

GCF of Numerators i.e. for 5649,8789 is 1

LCM of denominators i.e. for 516,2765 is 1426740.

Thus, GCF of Fractions is 1/1426740.Finally, GCF of Fractions for 5649/516, 8789/2765 is 1/1426740.