How to Find GCF of 3250/663, 1713/9062?

GCF of 3250/663, 1713/9062

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 3250/663, 1713/9062 i.e 1/6008106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3250/663, 1713/9062.

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 3250/663,1713/9062?

Given fractions are 3250/663,1713/9062

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 3250/663,1713/9062, numerators are 3250,1713

Denominators are 663,9062

The GCF of 3250,1713 is 1 .

LCM of 663,9062 is 6008106.

The greatest common factor of 3250/663,1713/9062 = [GCF of 3250,1713]/[LCM of 663,9062]= 1/6008106

Therefore, the GCF of 3250/663,1713/9062 is 1/6008106.

Greatest Common Factor of 3250,1713

To find the highest common factor of 3250,1713, we have to find the factors of both numbers and list the highest common factor.

The factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250

The factors of 1713 are 1, 3, 571, 1713

The HCF of 3250,1713 is 1.

Lets's calculate GCF of 3250,1713

Greatest Common Factor (GCF) of 3250,1713 By Common Division

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

Greatest Common Factor of 3250,1713 By Matching Biggest Common Factor Method

Now, list down the factors of 3250

1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250

Now, list down the factors of 1713

1,3,571,1713

Greatest Common Factor

We found the factors 3250,1713 . The biggest common factor number is the GCF number.
So the greatest common factor 3250,1713 is 1.

Lets's calculate LCM of 663,9062

Lowest Common Multiple of 663,9062 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6008106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6008106

Therefore, the GCF of Fractions 3250/663,1713/9062 is 1/6008106

Least Common Multiple of 663,9062 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 663,9062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,9062) = 1

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

GCF(663,9062) x common factors =1 x 1 = 1

LCM(663,9062) = ( 663 × 9062 ) / 1

LCM(663,9062) = 6008106 / 1

LCM(663,9062) = 6008106

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3250/663, 1713/9062

1. What is the HCF of 3250,1713?

The HCF of 3250,1713 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 3250/663, 1713/9062?

Answer: GCF of Numerators as per given numbers 3250/663, 1713/9062 is

GCF of Numerators i.e. for 3250,1713 is 1

LCM of denominators i.e. for 663,9062 is 6008106.

Thus, GCF of Fractions is 1/6008106.Finally, GCF of Fractions for 3250/663, 1713/9062 is 1/6008106.