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GCF of 897/669, 590/580

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 897/669, 590/580 i.e 1/388020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/669, 590/580.

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 897/669,590/580?

Given fractions are 897/669,590/580

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 897/669,590/580, numerators are 897,590

Denominators are 669,580

The GCF of 897,590 is 1 .

LCM of 669,580 is 388020.

The greatest common factor of 897/669,590/580 = [GCF of 897,590]/[LCM of 669,580]= 1/388020

Therefore, the GCF of 897/669,590/580 is 1/388020.

Greatest Common Factor of 897,590

To find the highest common factor of 897,590, 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 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 897,590 is 1.

Lets's calculate GCF of 897,590

Greatest Common Factor (GCF) of 897,590 By Common Division

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

Greatest Common Factor of 897,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,590 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 590

:

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 897,590 . The biggest common factor number is the GCF number.
So the greatest common factor 897,590 is 1.


Lets's calculate LCM of 669,580

Lowest Common Multiple of 669,580 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 388020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388020

Therefore, the GCF of Fractions 897/669,590/580 is 1/388020

Least Common Multiple of 669,580 with GCF Formula

Least Common Multiple of 669,580 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 669,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,580) = 1

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

GCF(669,580) x common factors =1 x 1 = 1

LCM(669,580) = ( 669 × 580 ) / 1

LCM(669,580) = 388020 / 1

LCM(669,580) = 388020


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 897/669, 590/580

1. What is the HCF of 897,590?

The HCF of 897,590 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 897/669, 590/580?

Answer: GCF of Numerators as per given numbers 897/669, 590/580 is

GCF of Numerators i.e. for 897,590 is 1

LCM of denominators i.e. for 669,580 is 388020.

Thus, GCF of Fractions is 1/388020.Finally, GCF of Fractions for 897/669, 590/580 is 1/388020.