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GCF of 1198/164, 1659/2690

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 1198/164, 1659/2690 i.e 1/220580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1198/164, 1659/2690.

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 1198/164,1659/2690?

Given fractions are 1198/164,1659/2690

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 1198/164,1659/2690, numerators are 1198,1659

Denominators are 164,2690

The GCF of 1198,1659 is 1 .

LCM of 164,2690 is 220580.

The greatest common factor of 1198/164,1659/2690 = [GCF of 1198,1659]/[LCM of 164,2690]= 1/220580

Therefore, the GCF of 1198/164,1659/2690 is 1/220580.

Greatest Common Factor of 1198,1659

To find the highest common factor of 1198,1659, we have to find the factors of both numbers and list the highest common factor.

The factors of 1198 are 1, 2, 599, 1198

The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659

The HCF of 1198,1659 is 1.

Lets's calculate GCF of 1198,1659

Greatest Common Factor (GCF) of 1198,1659 By Common Division

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

Greatest Common Factor of 1198,1659 By Matching Biggest Common Factor Method

Greatest Common Factor of 1198,1659 By Matching Biggest Common Factor Method

Now, list down the factors of 1198

:

1,2,599,1198

Now, list down the factors of 1659

:

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 1198,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 1198,1659 is 1.


Lets's calculate LCM of 164,2690

Lowest Common Multiple of 164,2690 using Common Division

2 164, 2690
82, 1345

∴ So the LCM of the given numbers is 2 x 82 x 1345 = 220580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220580

Therefore, the GCF of Fractions 1198/164,1659/2690 is 1/220580

Least Common Multiple of 164,2690 with GCF Formula

Least Common Multiple of 164,2690 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 164,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,2690) = 2

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

GCF(164,2690) x common factors =2 x 1 = 2

LCM(164,2690) = ( 164 × 2690 ) / 2

LCM(164,2690) = 441160 / 2

LCM(164,2690) = 220580


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1198/164, 1659/2690

1. What is the HCF of 1198,1659?

The HCF of 1198,1659 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 1198/164, 1659/2690?

Answer: GCF of Numerators as per given numbers 1198/164, 1659/2690 is

GCF of Numerators i.e. for 1198,1659 is 1

LCM of denominators i.e. for 164,2690 is 220580.

Thus, GCF of Fractions is 1/220580.Finally, GCF of Fractions for 1198/164, 1659/2690 is 1/220580.