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GCF of 808/89, 290/409

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 808/89, 290/409 i.e 2/36401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/89, 290/409.

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 808/89,290/409?

Given fractions are 808/89,290/409

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 808/89,290/409, numerators are 808,290

Denominators are 89,409

The GCF of 808,290 is 2 .

LCM of 89,409 is 36401.

The greatest common factor of 808/89,290/409 = [GCF of 808,290]/[LCM of 89,409]= 2/36401

Therefore, the GCF of 808/89,290/409 is 2/36401.

Greatest Common Factor of 808,290

To find the highest common factor of 808,290, we have to find the factors of both numbers and list the highest common factor.

The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 808,290 is 2.

Lets's calculate GCF of 808,290

Greatest Common Factor (GCF) of 808,290 By Common Division

2 808, 290
404, 145

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 808,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,290 By Matching Biggest Common Factor Method

Now, list down the factors of 808

:

1,2,4,8,101,202,404,808

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 808,290 . The biggest common factor number is the GCF number.
So the greatest common factor 808,290 is 2.

Lets's calculate LCM of 89,409

Lowest Common Multiple of 89,409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36401

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36401

Therefore, the GCF of Fractions 808/89,290/409 is 2/36401

Least Common Multiple of 89,409 with GCF Formula

Least Common Multiple of 89,409 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 89,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,409) = 1

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

GCF(89,409) x common factors =1 x 1 = 1

LCM(89,409) = ( 89 × 409 ) / 1

LCM(89,409) = 36401 / 1

LCM(89,409) = 36401


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FAQs on GCF of Fractions of 808/89, 290/409

1. What is the HCF of 808,290?

The HCF of 808,290 is 2

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 808/89, 290/409?

Answer: GCF of Numerators as per given numbers 808/89, 290/409 is

GCF of Numerators i.e. for 808,290 is 2

LCM of denominators i.e. for 89,409 is 36401.

Thus, GCF of Fractions is 2/36401.Finally, GCF of Fractions for 808/89, 290/409 is 2/36401.