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GCF of 897/822, 286/661

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 897/822, 286/661 i.e 13/543342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/822, 286/661.

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 897/822,286/661?

Given fractions are 897/822,286/661

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 897/822,286/661, numerators are 897,286

Denominators are 822,661

The GCF of 897,286 is 13 .

LCM of 822,661 is 543342.

The greatest common factor of 897/822,286/661 = [GCF of 897,286]/[LCM of 822,661]= 13/543342

Therefore, the GCF of 897/822,286/661 is 13/543342.

Greatest Common Factor of 897,286

To find the highest common factor of 897,286, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286

The HCF of 897,286 is 13.

Lets's calculate GCF of 897,286

Greatest Common Factor (GCF) of 897,286 By Common Division

13 897, 286
69, 22

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 897,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,286 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 286

:

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 897,286 . The biggest common factor number is the GCF number.
So the greatest common factor 897,286 is 13.

Lets's calculate LCM of 822,661

Lowest Common Multiple of 822,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 543342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/543342

Therefore, the GCF of Fractions 897/822,286/661 is 13/543342

Least Common Multiple of 822,661 with GCF Formula

Least Common Multiple of 822,661 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 822,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,661) = 1

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

GCF(822,661) x common factors =1 x 1 = 1

LCM(822,661) = ( 822 × 661 ) / 1

LCM(822,661) = 543342 / 1

LCM(822,661) = 543342


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FAQs on GCF of Fractions of 897/822, 286/661

1. What is the HCF of 897,286?

The HCF of 897,286 is 13

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 897/822, 286/661?

Answer: GCF of Numerators as per given numbers 897/822, 286/661 is

GCF of Numerators i.e. for 897,286 is 13

LCM of denominators i.e. for 822,661 is 543342.

Thus, GCF of Fractions is 13/543342.Finally, GCF of Fractions for 897/822, 286/661 is 13/543342.