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GCF of 380/581, 808/203

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 380/581, 808/203 i.e 4/16849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 380/581, 808/203.

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 380/581,808/203?

Given fractions are 380/581,808/203

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 380/581,808/203, numerators are 380,808

Denominators are 581,203

The GCF of 380,808 is 4 .

LCM of 581,203 is 16849.

The greatest common factor of 380/581,808/203 = [GCF of 380,808]/[LCM of 581,203]= 4/16849

Therefore, the GCF of 380/581,808/203 is 4/16849.

Greatest Common Factor of 380,808

To find the highest common factor of 380,808, we have to find the factors of both numbers and list the highest common factor.

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

The HCF of 380,808 is 4.

Lets's calculate GCF of 380,808

Greatest Common Factor (GCF) of 380,808 By Common Division

2 380, 808
2 190, 404
95, 202

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 380,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,808 By Matching Biggest Common Factor Method

Now, list down the factors of 380

:

1,2,4,5,10,19,20,38,76,95,190,380

Now, list down the factors of 808

:

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

Greatest Common Factor

We found the factors 380,808 . The biggest common factor number is the GCF number.
So the greatest common factor 380,808 is 4.

Lets's calculate LCM of 581,203

Lowest Common Multiple of 581,203 using Common Division

7 581, 203
83, 29

∴ So the LCM of the given numbers is 7 x 83 x 29 = 16849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/16849

Therefore, the GCF of Fractions 380/581,808/203 is 4/16849

Least Common Multiple of 581,203 with GCF Formula

Least Common Multiple of 581,203 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 581,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,203) = 7

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

GCF(581,203) x common factors =7 x 1 = 7

LCM(581,203) = ( 581 × 203 ) / 7

LCM(581,203) = 117943 / 7

LCM(581,203) = 16849


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FAQs on GCF of Fractions of 380/581, 808/203

1. What is the HCF of 380,808?

The HCF of 380,808 is 4

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 380/581, 808/203?

Answer: GCF of Numerators as per given numbers 380/581, 808/203 is

GCF of Numerators i.e. for 380,808 is 4

LCM of denominators i.e. for 581,203 is 16849.

Thus, GCF of Fractions is 4/16849.Finally, GCF of Fractions for 380/581, 808/203 is 4/16849.