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GCF of 3769/220, 8681/383

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 3769/220, 8681/383 i.e 1/84260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3769/220, 8681/383.

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 3769/220,8681/383?

Given fractions are 3769/220,8681/383

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 3769/220,8681/383, numerators are 3769,8681

Denominators are 220,383

The GCF of 3769,8681 is 1 .

LCM of 220,383 is 84260.

The greatest common factor of 3769/220,8681/383 = [GCF of 3769,8681]/[LCM of 220,383]= 1/84260

Therefore, the GCF of 3769/220,8681/383 is 1/84260.

Greatest Common Factor of 3769,8681

To find the highest common factor of 3769,8681, we have to find the factors of both numbers and list the highest common factor.

The factors of 3769 are 1, 3769

The factors of 8681 are 1, 8681

The HCF of 3769,8681 is 1.

Lets's calculate GCF of 3769,8681

Greatest Common Factor (GCF) of 3769,8681 By Common Division

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

Greatest Common Factor of 3769,8681 By Matching Biggest Common Factor Method

Greatest Common Factor of 3769,8681 By Matching Biggest Common Factor Method

Now, list down the factors of 3769

:

1,3769

Now, list down the factors of 8681

:

1,8681

Greatest Common Factor

We found the factors 3769,8681 . The biggest common factor number is the GCF number.
So the greatest common factor 3769,8681 is 1.

Lets's calculate LCM of 220,383

Lowest Common Multiple of 220,383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84260

Therefore, the GCF of Fractions 3769/220,8681/383 is 1/84260

Least Common Multiple of 220,383 with GCF Formula

Least Common Multiple of 220,383 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 220,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,383) = 1

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

GCF(220,383) x common factors =1 x 1 = 1

LCM(220,383) = ( 220 × 383 ) / 1

LCM(220,383) = 84260 / 1

LCM(220,383) = 84260


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FAQs on GCF of Fractions of 3769/220, 8681/383

1. What is the HCF of 3769,8681?

The HCF of 3769,8681 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 3769/220, 8681/383?

Answer: GCF of Numerators as per given numbers 3769/220, 8681/383 is

GCF of Numerators i.e. for 3769,8681 is 1

LCM of denominators i.e. for 220,383 is 84260.

Thus, GCF of Fractions is 1/84260.Finally, GCF of Fractions for 3769/220, 8681/383 is 1/84260.