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 17/654, 34/5980

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 17/654, 34/5980 i.e 17/1955460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/654, 34/5980.

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 17/654,34/5980?

Given fractions are 17/654,34/5980

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 17/654,34/5980, numerators are 17,34

Denominators are 654,5980

The GCF of 17,34 is 17 .

LCM of 654,5980 is 1955460.

The greatest common factor of 17/654,34/5980 = [GCF of 17,34]/[LCM of 654,5980]= 17/1955460

Therefore, the GCF of 17/654,34/5980 is 17/1955460.

Greatest Common Factor of 17,34

To find the highest common factor of 17,34, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 34 are 1, 2, 17, 34

The HCF of 17,34 is 17.

Lets's calculate GCF of 17,34

Greatest Common Factor (GCF) of 17,34 By Common Division

17 17, 34
1, 2

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 17,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,34 By Matching Biggest Common Factor Method

Now, list down the factors of 17

:

1,17

Now, list down the factors of 34

:

1,2,17,34

Greatest Common Factor

We found the factors 17,34 . The biggest common factor number is the GCF number.
So the greatest common factor 17,34 is 17.

Lets's calculate LCM of 654,5980

Lowest Common Multiple of 654,5980 using Common Division

2 654, 5980
327, 2990

∴ So the LCM of the given numbers is 2 x 327 x 2990 = 1955460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1955460

Therefore, the GCF of Fractions 17/654,34/5980 is 17/1955460

Least Common Multiple of 654,5980 with GCF Formula

Least Common Multiple of 654,5980 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 654,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,5980) = 2

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

GCF(654,5980) x common factors =2 x 1 = 2

LCM(654,5980) = ( 654 × 5980 ) / 2

LCM(654,5980) = 3910920 / 2

LCM(654,5980) = 1955460


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 17/654, 34/5980

1. What is the HCF of 17,34?

The HCF of 17,34 is 17

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 17/654, 34/5980?

Answer: GCF of Numerators as per given numbers 17/654, 34/5980 is

GCF of Numerators i.e. for 17,34 is 17

LCM of denominators i.e. for 654,5980 is 1955460.

Thus, GCF of Fractions is 17/1955460.Finally, GCF of Fractions for 17/654, 34/5980 is 17/1955460.