How to Find GCF of 5893/983, 7996/9413?

GCF of 5893/983, 7996/9413

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 5893/983, 7996/9413 i.e 1/9252979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5893/983, 7996/9413.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5893/983,7996/9413?

Given fractions are 5893/983,7996/9413

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 5893/983,7996/9413, numerators are 5893,7996

Denominators are 983,9413

The GCF of 5893,7996 is 1 .

LCM of 983,9413 is 9252979.

The greatest common factor of 5893/983,7996/9413 = [GCF of 5893,7996]/[LCM of 983,9413]= 1/9252979

Therefore, the GCF of 5893/983,7996/9413 is 1/9252979.

Greatest Common Factor of 5893,7996

To find the highest common factor of 5893,7996, we have to find the factors of both numbers and list the highest common factor.

The factors of 5893 are 1, 71, 83, 5893

The factors of 7996 are 1, 2, 4, 1999, 3998, 7996

The HCF of 5893,7996 is 1.

Lets's calculate GCF of 5893,7996

Greatest Common Factor (GCF) of 5893,7996 By Common Division

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

Greatest Common Factor of 5893,7996 By Matching Biggest Common Factor Method

Now, list down the factors of 5893

1,71,83,5893

Now, list down the factors of 7996

1,2,4,1999,3998,7996

Greatest Common Factor

We found the factors 5893,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 5893,7996 is 1.

Lets's calculate LCM of 983,9413

Lowest Common Multiple of 983,9413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9252979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9252979

Therefore, the GCF of Fractions 5893/983,7996/9413 is 1/9252979

Least Common Multiple of 983,9413 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 983,9413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,9413) = 1

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

GCF(983,9413) x common factors =1 x 1 = 1

LCM(983,9413) = ( 983 × 9413 ) / 1

LCM(983,9413) = 9252979 / 1

LCM(983,9413) = 9252979

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5893/983, 7996/9413

1. What is the HCF of 5893,7996?

The HCF of 5893,7996 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 5893/983, 7996/9413?

Answer: GCF of Numerators as per given numbers 5893/983, 7996/9413 is

GCF of Numerators i.e. for 5893,7996 is 1

LCM of denominators i.e. for 983,9413 is 9252979.

Thus, GCF of Fractions is 1/9252979.Finally, GCF of Fractions for 5893/983, 7996/9413 is 1/9252979.