How to Find GCF of 5982/653, 1301/7043?

GCF of 5982/653, 1301/7043

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 5982/653, 1301/7043 i.e 1/4599079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5982/653, 1301/7043.

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 5982/653,1301/7043?

Given fractions are 5982/653,1301/7043

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 5982/653,1301/7043, numerators are 5982,1301

Denominators are 653,7043

The GCF of 5982,1301 is 1 .

LCM of 653,7043 is 4599079.

The greatest common factor of 5982/653,1301/7043 = [GCF of 5982,1301]/[LCM of 653,7043]= 1/4599079

Therefore, the GCF of 5982/653,1301/7043 is 1/4599079.

Greatest Common Factor of 5982,1301

To find the highest common factor of 5982,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982

The factors of 1301 are 1, 1301

The HCF of 5982,1301 is 1.

Lets's calculate GCF of 5982,1301

Greatest Common Factor (GCF) of 5982,1301 By Common Division

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

Greatest Common Factor of 5982,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 5982

1,2,3,6,997,1994,2991,5982

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 5982,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,1301 is 1.

Lets's calculate LCM of 653,7043

Lowest Common Multiple of 653,7043 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4599079

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4599079

Therefore, the GCF of Fractions 5982/653,1301/7043 is 1/4599079

Least Common Multiple of 653,7043 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 653,7043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,7043) = 1

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

GCF(653,7043) x common factors =1 x 1 = 1

LCM(653,7043) = ( 653 × 7043 ) / 1

LCM(653,7043) = 4599079 / 1

LCM(653,7043) = 4599079

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FAQs on GCF of Fractions of 5982/653, 1301/7043

1. What is the HCF of 5982,1301?

The HCF of 5982,1301 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 5982/653, 1301/7043?

Answer: GCF of Numerators as per given numbers 5982/653, 1301/7043 is

GCF of Numerators i.e. for 5982,1301 is 1

LCM of denominators i.e. for 653,7043 is 4599079.

Thus, GCF of Fractions is 1/4599079.Finally, GCF of Fractions for 5982/653, 1301/7043 is 1/4599079.