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 897/28, 659/293

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 897/28, 659/293 i.e 1/8204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/28, 659/293.

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 897/28,659/293?

Given fractions are 897/28,659/293

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 897/28,659/293, numerators are 897,659

Denominators are 28,293

The GCF of 897,659 is 1 .

LCM of 28,293 is 8204.

The greatest common factor of 897/28,659/293 = [GCF of 897,659]/[LCM of 28,293]= 1/8204

Therefore, the GCF of 897/28,659/293 is 1/8204.

Greatest Common Factor of 897,659

To find the highest common factor of 897,659, we have to find the factors of both numbers and list the highest common factor.

The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897

The factors of 659 are 1, 659

The HCF of 897,659 is 1.

Lets's calculate GCF of 897,659

Greatest Common Factor (GCF) of 897,659 By Common Division

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

Greatest Common Factor of 897,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,659 By Matching Biggest Common Factor Method

Now, list down the factors of 897

:

1,3,13,23,39,69,299,897

Now, list down the factors of 659

:

1,659

Greatest Common Factor

We found the factors 897,659 . The biggest common factor number is the GCF number.
So the greatest common factor 897,659 is 1.

Lets's calculate LCM of 28,293

Lowest Common Multiple of 28,293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8204

Therefore, the GCF of Fractions 897/28,659/293 is 1/8204

Least Common Multiple of 28,293 with GCF Formula

Least Common Multiple of 28,293 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 28,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,293) = 1

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

GCF(28,293) x common factors =1 x 1 = 1

LCM(28,293) = ( 28 × 293 ) / 1

LCM(28,293) = 8204 / 1

LCM(28,293) = 8204


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 897/28, 659/293

1. What is the HCF of 897,659?

The HCF of 897,659 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 897/28, 659/293?

Answer: GCF of Numerators as per given numbers 897/28, 659/293 is

GCF of Numerators i.e. for 897,659 is 1

LCM of denominators i.e. for 28,293 is 8204.

Thus, GCF of Fractions is 1/8204.Finally, GCF of Fractions for 897/28, 659/293 is 1/8204.