How to Find GCF of 5898/983, 3065/8843?

GCF of 5898/983, 3065/8843

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 5898/983, 3065/8843 i.e 1/8692669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5898/983, 3065/8843.

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 5898/983,3065/8843?

Given fractions are 5898/983,3065/8843

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 5898/983,3065/8843, numerators are 5898,3065

Denominators are 983,8843

The GCF of 5898,3065 is 1 .

LCM of 983,8843 is 8692669.

The greatest common factor of 5898/983,3065/8843 = [GCF of 5898,3065]/[LCM of 983,8843]= 1/8692669

Therefore, the GCF of 5898/983,3065/8843 is 1/8692669.

Greatest Common Factor of 5898,3065

To find the highest common factor of 5898,3065, we have to find the factors of both numbers and list the highest common factor.

The factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898

The factors of 3065 are 1, 5, 613, 3065

The HCF of 5898,3065 is 1.

Lets's calculate GCF of 5898,3065

Greatest Common Factor (GCF) of 5898,3065 By Common Division

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

Greatest Common Factor of 5898,3065 By Matching Biggest Common Factor Method

Now, list down the factors of 5898

1,2,3,6,983,1966,2949,5898

Now, list down the factors of 3065

1,5,613,3065

Greatest Common Factor

We found the factors 5898,3065 . The biggest common factor number is the GCF number.
So the greatest common factor 5898,3065 is 1.

Lets's calculate LCM of 983,8843

Lowest Common Multiple of 983,8843 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8692669

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8692669

Therefore, the GCF of Fractions 5898/983,3065/8843 is 1/8692669

Least Common Multiple of 983,8843 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 983,8843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,8843) = 1

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

GCF(983,8843) x common factors =1 x 1 = 1

LCM(983,8843) = ( 983 × 8843 ) / 1

LCM(983,8843) = 8692669 / 1

LCM(983,8843) = 8692669

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5898/983, 3065/8843

1. What is the HCF of 5898,3065?

The HCF of 5898,3065 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 5898/983, 3065/8843?

Answer: GCF of Numerators as per given numbers 5898/983, 3065/8843 is

GCF of Numerators i.e. for 5898,3065 is 1

LCM of denominators i.e. for 983,8843 is 8692669.

Thus, GCF of Fractions is 1/8692669.Finally, GCF of Fractions for 5898/983, 3065/8843 is 1/8692669.