How to Find GCF of 4013/248, 5982/812?

GCF of 4013/248, 5982/812

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 4013/248, 5982/812 i.e 1/50344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4013/248, 5982/812.

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 4013/248,5982/812?

Given fractions are 4013/248,5982/812

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 4013/248,5982/812, numerators are 4013,5982

Denominators are 248,812

The GCF of 4013,5982 is 1 .

LCM of 248,812 is 50344.

The greatest common factor of 4013/248,5982/812 = [GCF of 4013,5982]/[LCM of 248,812]= 1/50344

Therefore, the GCF of 4013/248,5982/812 is 1/50344.

Greatest Common Factor of 4013,5982

To find the highest common factor of 4013,5982, we have to find the factors of both numbers and list the highest common factor.

The factors of 4013 are 1, 4013

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

The HCF of 4013,5982 is 1.

Lets's calculate GCF of 4013,5982

Greatest Common Factor (GCF) of 4013,5982 By Common Division

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

Greatest Common Factor of 4013,5982 By Matching Biggest Common Factor Method

Now, list down the factors of 4013

1,4013

Now, list down the factors of 5982

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

Greatest Common Factor

We found the factors 4013,5982 . The biggest common factor number is the GCF number.
So the greatest common factor 4013,5982 is 1.

Lets's calculate LCM of 248,812

Lowest Common Multiple of 248,812 using Common Division

2	248, 812
2	124, 406
	62, 203

∴ So the LCM of the given numbers is 2 x 2 x 62 x 203 = 50344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50344

Therefore, the GCF of Fractions 4013/248,5982/812 is 1/50344

Least Common Multiple of 248,812 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 248,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,812) = 4

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

GCF(248,812) x common factors =4 x 1 = 4

LCM(248,812) = ( 248 × 812 ) / 4

LCM(248,812) = 201376 / 4

LCM(248,812) = 50344

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FAQs on GCF of Fractions of 4013/248, 5982/812

1. What is the HCF of 4013,5982?

The HCF of 4013,5982 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 4013/248, 5982/812?

Answer: GCF of Numerators as per given numbers 4013/248, 5982/812 is

GCF of Numerators i.e. for 4013,5982 is 1

LCM of denominators i.e. for 248,812 is 50344.

Thus, GCF of Fractions is 1/50344.Finally, GCF of Fractions for 4013/248, 5982/812 is 1/50344.