LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 14/220, 2626/1347

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 14/220, 2626/1347 i.e 2/296340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/220, 2626/1347.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 14/220,2626/1347?

Given fractions are 14/220,2626/1347

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 14/220,2626/1347, numerators are 14,2626

Denominators are 220,1347

The GCF of 14,2626 is 2 .

LCM of 220,1347 is 296340.

The greatest common factor of 14/220,2626/1347 = [GCF of 14,2626]/[LCM of 220,1347]= 2/296340

Therefore, the GCF of 14/220,2626/1347 is 2/296340.

Greatest Common Factor of 14,2626

To find the highest common factor of 14,2626, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 2626 are 1, 2, 13, 26, 101, 202, 1313, 2626

The HCF of 14,2626 is 2.

Lets's calculate GCF of 14,2626

Greatest Common Factor (GCF) of 14,2626 By Common Division

2 14, 2626
7, 1313

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

Greatest Common Factor of 14,2626 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,2626 By Matching Biggest Common Factor Method

Now, list down the factors of 14

:

1,2,7,14

Now, list down the factors of 2626

:

1,2,13,26,101,202,1313,2626

Greatest Common Factor

We found the factors 14,2626 . The biggest common factor number is the GCF number.
So the greatest common factor 14,2626 is 2.

Lets's calculate LCM of 220,1347

Lowest Common Multiple of 220,1347 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 296340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/296340

Therefore, the GCF of Fractions 14/220,2626/1347 is 2/296340

Least Common Multiple of 220,1347 with GCF Formula

Least Common Multiple of 220,1347 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 220,1347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,1347) = 1

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

GCF(220,1347) x common factors =1 x 1 = 1

LCM(220,1347) = ( 220 × 1347 ) / 1

LCM(220,1347) = 296340 / 1

LCM(220,1347) = 296340


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 14/220, 2626/1347

1. What is the HCF of 14,2626?

The HCF of 14,2626 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 14/220, 2626/1347?

Answer: GCF of Numerators as per given numbers 14/220, 2626/1347 is

GCF of Numerators i.e. for 14,2626 is 2

LCM of denominators i.e. for 220,1347 is 296340.

Thus, GCF of Fractions is 2/296340.Finally, GCF of Fractions for 14/220, 2626/1347 is 2/296340.