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GCF of 897/43, 208/468

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 897/43, 208/468 i.e 13/20124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 897/43, 208/468.

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 897/43,208/468?

Given fractions are 897/43,208/468

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 897/43,208/468, numerators are 897,208

Denominators are 43,468

The GCF of 897,208 is 13 .

LCM of 43,468 is 20124.

The greatest common factor of 897/43,208/468 = [GCF of 897,208]/[LCM of 43,468]= 13/20124

Therefore, the GCF of 897/43,208/468 is 13/20124.

Greatest Common Factor of 897,208

To find the highest common factor of 897,208, 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 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 897,208 is 13.

Lets's calculate GCF of 897,208

Greatest Common Factor (GCF) of 897,208 By Common Division

13 897, 208
69, 16

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

Greatest Common Factor of 897,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,208 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 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 897,208 . The biggest common factor number is the GCF number.
So the greatest common factor 897,208 is 13.

Lets's calculate LCM of 43,468

Lowest Common Multiple of 43,468 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/20124

Therefore, the GCF of Fractions 897/43,208/468 is 13/20124

Least Common Multiple of 43,468 with GCF Formula

Least Common Multiple of 43,468 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 43,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,468) = 1

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

GCF(43,468) x common factors =1 x 1 = 1

LCM(43,468) = ( 43 × 468 ) / 1

LCM(43,468) = 20124 / 1

LCM(43,468) = 20124


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FAQs on GCF of Fractions of 897/43, 208/468

1. What is the HCF of 897,208?

The HCF of 897,208 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 897/43, 208/468?

Answer: GCF of Numerators as per given numbers 897/43, 208/468 is

GCF of Numerators i.e. for 897,208 is 13

LCM of denominators i.e. for 43,468 is 20124.

Thus, GCF of Fractions is 13/20124.Finally, GCF of Fractions for 897/43, 208/468 is 13/20124.