How to Find GCF of 1615/616, 6526/3352?

GCF of 1615/616, 6526/3352

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 1615/616, 6526/3352 i.e 1/258104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1615/616, 6526/3352.

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 1615/616,6526/3352?

Given fractions are 1615/616,6526/3352

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 1615/616,6526/3352, numerators are 1615,6526

Denominators are 616,3352

The GCF of 1615,6526 is 1 .

LCM of 616,3352 is 258104.

The greatest common factor of 1615/616,6526/3352 = [GCF of 1615,6526]/[LCM of 616,3352]= 1/258104

Therefore, the GCF of 1615/616,6526/3352 is 1/258104.

Greatest Common Factor of 1615,6526

To find the highest common factor of 1615,6526, we have to find the factors of both numbers and list the highest common factor.

The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615

The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526

The HCF of 1615,6526 is 1.

Lets's calculate GCF of 1615,6526

Greatest Common Factor (GCF) of 1615,6526 By Common Division

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

Greatest Common Factor of 1615,6526 By Matching Biggest Common Factor Method

Now, list down the factors of 1615

1,5,17,19,85,95,323,1615

Now, list down the factors of 6526

1,2,13,26,251,502,3263,6526

Greatest Common Factor

We found the factors 1615,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 1615,6526 is 1.

Lets's calculate LCM of 616,3352

Lowest Common Multiple of 616,3352 using Common Division

2	616, 3352
2	308, 1676
2	154, 838
	77, 419

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 419 = 258104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258104

Therefore, the GCF of Fractions 1615/616,6526/3352 is 1/258104

Least Common Multiple of 616,3352 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 616,3352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,3352) = 8

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

GCF(616,3352) x common factors =8 x 1 = 8

LCM(616,3352) = ( 616 × 3352 ) / 8

LCM(616,3352) = 2064832 / 8

LCM(616,3352) = 258104

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1615/616, 6526/3352

1. What is the HCF of 1615,6526?

The HCF of 1615,6526 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 1615/616, 6526/3352?

Answer: GCF of Numerators as per given numbers 1615/616, 6526/3352 is

GCF of Numerators i.e. for 1615,6526 is 1

LCM of denominators i.e. for 616,3352 is 258104.

Thus, GCF of Fractions is 1/258104.Finally, GCF of Fractions for 1615/616, 6526/3352 is 1/258104.