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 102/98, 643/704

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 102/98, 643/704 i.e 1/34496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/98, 643/704.

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 102/98,643/704?

Given fractions are 102/98,643/704

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 102/98,643/704, numerators are 102,643

Denominators are 98,704

The GCF of 102,643 is 1 .

LCM of 98,704 is 34496.

The greatest common factor of 102/98,643/704 = [GCF of 102,643]/[LCM of 98,704]= 1/34496

Therefore, the GCF of 102/98,643/704 is 1/34496.

Greatest Common Factor of 102,643

To find the highest common factor of 102,643, we have to find the factors of both numbers and list the highest common factor.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The factors of 643 are 1, 643

The HCF of 102,643 is 1.

Lets's calculate GCF of 102,643

Greatest Common Factor (GCF) of 102,643 By Common Division

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

Greatest Common Factor of 102,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,643 By Matching Biggest Common Factor Method

Now, list down the factors of 102

:

1,2,3,6,17,34,51,102

Now, list down the factors of 643

:

1,643

Greatest Common Factor

We found the factors 102,643 . The biggest common factor number is the GCF number.
So the greatest common factor 102,643 is 1.

Lets's calculate LCM of 98,704

Lowest Common Multiple of 98,704 using Common Division

2 98, 704
49, 352

∴ So the LCM of the given numbers is 2 x 49 x 352 = 34496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34496

Therefore, the GCF of Fractions 102/98,643/704 is 1/34496

Least Common Multiple of 98,704 with GCF Formula

Least Common Multiple of 98,704 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 98,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,704) = 2

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

GCF(98,704) x common factors =2 x 1 = 2

LCM(98,704) = ( 98 × 704 ) / 2

LCM(98,704) = 68992 / 2

LCM(98,704) = 34496


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 102/98, 643/704

1. What is the HCF of 102,643?

The HCF of 102,643 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 102/98, 643/704?

Answer: GCF of Numerators as per given numbers 102/98, 643/704 is

GCF of Numerators i.e. for 102,643 is 1

LCM of denominators i.e. for 98,704 is 34496.

Thus, GCF of Fractions is 1/34496.Finally, GCF of Fractions for 102/98, 643/704 is 1/34496.