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GCF of 446/983, 3997/689

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 446/983, 3997/689 i.e 1/677287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/983, 3997/689.

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 446/983,3997/689?

Given fractions are 446/983,3997/689

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 446/983,3997/689, numerators are 446,3997

Denominators are 983,689

The GCF of 446,3997 is 1 .

LCM of 983,689 is 677287.

The greatest common factor of 446/983,3997/689 = [GCF of 446,3997]/[LCM of 983,689]= 1/677287

Therefore, the GCF of 446/983,3997/689 is 1/677287.

Greatest Common Factor of 446,3997

To find the highest common factor of 446,3997, we have to find the factors of both numbers and list the highest common factor.

The factors of 446 are 1, 2, 223, 446

The factors of 3997 are 1, 7, 571, 3997

The HCF of 446,3997 is 1.

Lets's calculate GCF of 446,3997

Greatest Common Factor (GCF) of 446,3997 By Common Division

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

Greatest Common Factor of 446,3997 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,3997 By Matching Biggest Common Factor Method

Now, list down the factors of 446

:

1,2,223,446

Now, list down the factors of 3997

:

1,7,571,3997

Greatest Common Factor

We found the factors 446,3997 . The biggest common factor number is the GCF number.
So the greatest common factor 446,3997 is 1.

Lets's calculate LCM of 983,689

Lowest Common Multiple of 983,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 677287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677287

Therefore, the GCF of Fractions 446/983,3997/689 is 1/677287

Least Common Multiple of 983,689 with GCF Formula

Least Common Multiple of 983,689 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 983,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,689) = 1

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

GCF(983,689) x common factors =1 x 1 = 1

LCM(983,689) = ( 983 × 689 ) / 1

LCM(983,689) = 677287 / 1

LCM(983,689) = 677287


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FAQs on GCF of Fractions of 446/983, 3997/689

1. What is the HCF of 446,3997?

The HCF of 446,3997 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 446/983, 3997/689?

Answer: GCF of Numerators as per given numbers 446/983, 3997/689 is

GCF of Numerators i.e. for 446,3997 is 1

LCM of denominators i.e. for 983,689 is 677287.

Thus, GCF of Fractions is 1/677287.Finally, GCF of Fractions for 446/983, 3997/689 is 1/677287.