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GCF of 433/665, 808/625

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 433/665, 808/625 i.e 1/83125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/665, 808/625.

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 433/665,808/625?

Given fractions are 433/665,808/625

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 433/665,808/625, numerators are 433,808

Denominators are 665,625

The GCF of 433,808 is 1 .

LCM of 665,625 is 83125.

The greatest common factor of 433/665,808/625 = [GCF of 433,808]/[LCM of 665,625]= 1/83125

Therefore, the GCF of 433/665,808/625 is 1/83125.

Greatest Common Factor of 433,808

To find the highest common factor of 433,808, we have to find the factors of both numbers and list the highest common factor.

The factors of 433 are 1, 433

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

The HCF of 433,808 is 1.

Lets's calculate GCF of 433,808

Greatest Common Factor (GCF) of 433,808 By Common Division

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

Greatest Common Factor of 433,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,808 By Matching Biggest Common Factor Method

Now, list down the factors of 433

:

1,433

Now, list down the factors of 808

:

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

Greatest Common Factor

We found the factors 433,808 . The biggest common factor number is the GCF number.
So the greatest common factor 433,808 is 1.

Lets's calculate LCM of 665,625

Lowest Common Multiple of 665,625 using Common Division

5 665, 625
133, 125

∴ So the LCM of the given numbers is 5 x 133 x 125 = 83125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83125

Therefore, the GCF of Fractions 433/665,808/625 is 1/83125

Least Common Multiple of 665,625 with GCF Formula

Least Common Multiple of 665,625 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 665,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,625) = 5

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

GCF(665,625) x common factors =5 x 1 = 5

LCM(665,625) = ( 665 × 625 ) / 5

LCM(665,625) = 415625 / 5

LCM(665,625) = 83125


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FAQs on GCF of Fractions of 433/665, 808/625

1. What is the HCF of 433,808?

The HCF of 433,808 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 433/665, 808/625?

Answer: GCF of Numerators as per given numbers 433/665, 808/625 is

GCF of Numerators i.e. for 433,808 is 1

LCM of denominators i.e. for 665,625 is 83125.

Thus, GCF of Fractions is 1/83125.Finally, GCF of Fractions for 433/665, 808/625 is 1/83125.