How to Find GCF of 3280/790, 8654/3503?

GCF of 3280/790, 8654/3503

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 3280/790, 8654/3503 i.e 2/2767370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3280/790, 8654/3503.

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 3280/790,8654/3503?

Given fractions are 3280/790,8654/3503

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 3280/790,8654/3503, numerators are 3280,8654

Denominators are 790,3503

The GCF of 3280,8654 is 2 .

LCM of 790,3503 is 2767370.

The greatest common factor of 3280/790,8654/3503 = [GCF of 3280,8654]/[LCM of 790,3503]= 2/2767370

Therefore, the GCF of 3280/790,8654/3503 is 2/2767370.

Greatest Common Factor of 3280,8654

To find the highest common factor of 3280,8654, we have to find the factors of both numbers and list the highest common factor.

The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280

The factors of 8654 are 1, 2, 4327, 8654

The HCF of 3280,8654 is 2.

Lets's calculate GCF of 3280,8654

Greatest Common Factor (GCF) of 3280,8654 By Common Division

2	3280, 8654
	1640, 4327

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3280,8654 By Matching Biggest Common Factor Method

Now, list down the factors of 3280

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Now, list down the factors of 8654

1,2,4327,8654

Greatest Common Factor

We found the factors 3280,8654 . The biggest common factor number is the GCF number.
So the greatest common factor 3280,8654 is 2.

Lets's calculate LCM of 790,3503

Lowest Common Multiple of 790,3503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2767370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2767370

Therefore, the GCF of Fractions 3280/790,8654/3503 is 2/2767370

Least Common Multiple of 790,3503 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 790,3503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,3503) = 1

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

GCF(790,3503) x common factors =1 x 1 = 1

LCM(790,3503) = ( 790 × 3503 ) / 1

LCM(790,3503) = 2767370 / 1

LCM(790,3503) = 2767370

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3280/790, 8654/3503

1. What is the HCF of 3280,8654?

The HCF of 3280,8654 is 2

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 3280/790, 8654/3503?

Answer: GCF of Numerators as per given numbers 3280/790, 8654/3503 is

GCF of Numerators i.e. for 3280,8654 is 2

LCM of denominators i.e. for 790,3503 is 2767370.

Thus, GCF of Fractions is 2/2767370.Finally, GCF of Fractions for 3280/790, 8654/3503 is 2/2767370.