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GCF of 362/206, 3706/409

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 362/206, 3706/409 i.e 2/84254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 362/206, 3706/409.

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 362/206,3706/409?

Given fractions are 362/206,3706/409

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 362/206,3706/409, numerators are 362,3706

Denominators are 206,409

The GCF of 362,3706 is 2 .

LCM of 206,409 is 84254.

The greatest common factor of 362/206,3706/409 = [GCF of 362,3706]/[LCM of 206,409]= 2/84254

Therefore, the GCF of 362/206,3706/409 is 2/84254.

Greatest Common Factor of 362,3706

To find the highest common factor of 362,3706, we have to find the factors of both numbers and list the highest common factor.

The factors of 362 are 1, 2, 181, 362

The factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706

The HCF of 362,3706 is 2.

Lets's calculate GCF of 362,3706

Greatest Common Factor (GCF) of 362,3706 By Common Division

2 362, 3706
181, 1853

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

Greatest Common Factor of 362,3706 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,3706 By Matching Biggest Common Factor Method

Now, list down the factors of 362

:

1,2,181,362

Now, list down the factors of 3706

:

1,2,17,34,109,218,1853,3706

Greatest Common Factor

We found the factors 362,3706 . The biggest common factor number is the GCF number.
So the greatest common factor 362,3706 is 2.

Lets's calculate LCM of 206,409

Lowest Common Multiple of 206,409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84254

Therefore, the GCF of Fractions 362/206,3706/409 is 2/84254

Least Common Multiple of 206,409 with GCF Formula

Least Common Multiple of 206,409 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 206,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,409) = 1

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

GCF(206,409) x common factors =1 x 1 = 1

LCM(206,409) = ( 206 × 409 ) / 1

LCM(206,409) = 84254 / 1

LCM(206,409) = 84254


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FAQs on GCF of Fractions of 362/206, 3706/409

1. What is the HCF of 362,3706?

The HCF of 362,3706 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 362/206, 3706/409?

Answer: GCF of Numerators as per given numbers 362/206, 3706/409 is

GCF of Numerators i.e. for 362,3706 is 2

LCM of denominators i.e. for 206,409 is 84254.

Thus, GCF of Fractions is 2/84254.Finally, GCF of Fractions for 362/206, 3706/409 is 2/84254.