How to Find GCF of 5989/772, 4615/9749?

GCF of 5989/772, 4615/9749

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 5989/772, 4615/9749 i.e 1/7526228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5989/772, 4615/9749.

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 5989/772,4615/9749?

Given fractions are 5989/772,4615/9749

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 5989/772,4615/9749, numerators are 5989,4615

Denominators are 772,9749

The GCF of 5989,4615 is 1 .

LCM of 772,9749 is 7526228.

The greatest common factor of 5989/772,4615/9749 = [GCF of 5989,4615]/[LCM of 772,9749]= 1/7526228

Therefore, the GCF of 5989/772,4615/9749 is 1/7526228.

Greatest Common Factor of 5989,4615

To find the highest common factor of 5989,4615, we have to find the factors of both numbers and list the highest common factor.

The factors of 5989 are 1, 53, 113, 5989

The factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615

The HCF of 5989,4615 is 1.

Lets's calculate GCF of 5989,4615

Greatest Common Factor (GCF) of 5989,4615 By Common Division

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

Greatest Common Factor of 5989,4615 By Matching Biggest Common Factor Method

Now, list down the factors of 5989

1,53,113,5989

Now, list down the factors of 4615

1,5,13,65,71,355,923,4615

Greatest Common Factor

We found the factors 5989,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,4615 is 1.

Lets's calculate LCM of 772,9749

Lowest Common Multiple of 772,9749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7526228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7526228

Therefore, the GCF of Fractions 5989/772,4615/9749 is 1/7526228

Least Common Multiple of 772,9749 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 772,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,9749) = 1

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

GCF(772,9749) x common factors =1 x 1 = 1

LCM(772,9749) = ( 772 × 9749 ) / 1

LCM(772,9749) = 7526228 / 1

LCM(772,9749) = 7526228

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5989/772, 4615/9749

1. What is the HCF of 5989,4615?

The HCF of 5989,4615 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 5989/772, 4615/9749?

Answer: GCF of Numerators as per given numbers 5989/772, 4615/9749 is

GCF of Numerators i.e. for 5989,4615 is 1

LCM of denominators i.e. for 772,9749 is 7526228.

Thus, GCF of Fractions is 1/7526228.Finally, GCF of Fractions for 5989/772, 4615/9749 is 1/7526228.