How to Find GCF of 6553/751, 3385/8981?

GCF of 6553/751, 3385/8981

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 6553/751, 3385/8981 i.e 1/6744731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6553/751, 3385/8981.

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 6553/751,3385/8981?

Given fractions are 6553/751,3385/8981

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 6553/751,3385/8981, numerators are 6553,3385

Denominators are 751,8981

The GCF of 6553,3385 is 1 .

LCM of 751,8981 is 6744731.

The greatest common factor of 6553/751,3385/8981 = [GCF of 6553,3385]/[LCM of 751,8981]= 1/6744731

Therefore, the GCF of 6553/751,3385/8981 is 1/6744731.

Greatest Common Factor of 6553,3385

To find the highest common factor of 6553,3385, we have to find the factors of both numbers and list the highest common factor.

The factors of 6553 are 1, 6553

The factors of 3385 are 1, 5, 677, 3385

The HCF of 6553,3385 is 1.

Lets's calculate GCF of 6553,3385

Greatest Common Factor (GCF) of 6553,3385 By Common Division

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

Greatest Common Factor of 6553,3385 By Matching Biggest Common Factor Method

Now, list down the factors of 6553

1,6553

Now, list down the factors of 3385

1,5,677,3385

Greatest Common Factor

We found the factors 6553,3385 . The biggest common factor number is the GCF number.
So the greatest common factor 6553,3385 is 1.

Lets's calculate LCM of 751,8981

Lowest Common Multiple of 751,8981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6744731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6744731

Therefore, the GCF of Fractions 6553/751,3385/8981 is 1/6744731

Least Common Multiple of 751,8981 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 751,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,8981) = 1

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

GCF(751,8981) x common factors =1 x 1 = 1

LCM(751,8981) = ( 751 × 8981 ) / 1

LCM(751,8981) = 6744731 / 1

LCM(751,8981) = 6744731

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6553/751, 3385/8981

1. What is the HCF of 6553,3385?

The HCF of 6553,3385 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 6553/751, 3385/8981?

Answer: GCF of Numerators as per given numbers 6553/751, 3385/8981 is

GCF of Numerators i.e. for 6553,3385 is 1

LCM of denominators i.e. for 751,8981 is 6744731.

Thus, GCF of Fractions is 1/6744731.Finally, GCF of Fractions for 6553/751, 3385/8981 is 1/6744731.