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GCF of 1931/986, 3689/942

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 1931/986, 3689/942 i.e 1/464406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1931/986, 3689/942.

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 1931/986,3689/942?

Given fractions are 1931/986,3689/942

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 1931/986,3689/942, numerators are 1931,3689

Denominators are 986,942

The GCF of 1931,3689 is 1 .

LCM of 986,942 is 464406.

The greatest common factor of 1931/986,3689/942 = [GCF of 1931,3689]/[LCM of 986,942]= 1/464406

Therefore, the GCF of 1931/986,3689/942 is 1/464406.

Greatest Common Factor of 1931,3689

To find the highest common factor of 1931,3689, we have to find the factors of both numbers and list the highest common factor.

The factors of 1931 are 1, 1931

The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689

The HCF of 1931,3689 is 1.

Lets's calculate GCF of 1931,3689

Greatest Common Factor (GCF) of 1931,3689 By Common Division

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

Greatest Common Factor of 1931,3689 By Matching Biggest Common Factor Method

Greatest Common Factor of 1931,3689 By Matching Biggest Common Factor Method

Now, list down the factors of 1931

:

1,1931

Now, list down the factors of 3689

:

1,7,17,31,119,217,527,3689

Greatest Common Factor

We found the factors 1931,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 1931,3689 is 1.

Lets's calculate LCM of 986,942

Lowest Common Multiple of 986,942 using Common Division

2 986, 942
493, 471

∴ So the LCM of the given numbers is 2 x 493 x 471 = 464406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464406

Therefore, the GCF of Fractions 1931/986,3689/942 is 1/464406

Least Common Multiple of 986,942 with GCF Formula

Least Common Multiple of 986,942 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 986,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,942) = 2

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

GCF(986,942) x common factors =2 x 1 = 2

LCM(986,942) = ( 986 × 942 ) / 2

LCM(986,942) = 928812 / 2

LCM(986,942) = 464406


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1931/986, 3689/942

1. What is the HCF of 1931,3689?

The HCF of 1931,3689 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 1931/986, 3689/942?

Answer: GCF of Numerators as per given numbers 1931/986, 3689/942 is

GCF of Numerators i.e. for 1931,3689 is 1

LCM of denominators i.e. for 986,942 is 464406.

Thus, GCF of Fractions is 1/464406.Finally, GCF of Fractions for 1931/986, 3689/942 is 1/464406.