How to Find GCF of 4082/740, 5395/682?

GCF of 4082/740, 5395/682

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 4082/740, 5395/682 i.e 13/252340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4082/740, 5395/682.

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 4082/740,5395/682?

Given fractions are 4082/740,5395/682

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 4082/740,5395/682, numerators are 4082,5395

Denominators are 740,682

The GCF of 4082,5395 is 13 .

LCM of 740,682 is 252340.

The greatest common factor of 4082/740,5395/682 = [GCF of 4082,5395]/[LCM of 740,682]= 13/252340

Therefore, the GCF of 4082/740,5395/682 is 13/252340.

Greatest Common Factor of 4082,5395

To find the highest common factor of 4082,5395, we have to find the factors of both numbers and list the highest common factor.

The factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082

The factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395

The HCF of 4082,5395 is 13.

Lets's calculate GCF of 4082,5395

Greatest Common Factor (GCF) of 4082,5395 By Common Division

13	4082, 5395
	314, 415

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4082,5395 By Matching Biggest Common Factor Method

Now, list down the factors of 4082

1,2,13,26,157,314,2041,4082

Now, list down the factors of 5395

1,5,13,65,83,415,1079,5395

Greatest Common Factor

We found the factors 4082,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 4082,5395 is 13.

Lets's calculate LCM of 740,682

Lowest Common Multiple of 740,682 using Common Division

2	740, 682
	370, 341

∴ So the LCM of the given numbers is 2 x 370 x 341 = 252340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/252340

Therefore, the GCF of Fractions 4082/740,5395/682 is 13/252340

Least Common Multiple of 740,682 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 740,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,682) = 2

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

GCF(740,682) x common factors =2 x 1 = 2

LCM(740,682) = ( 740 × 682 ) / 2

LCM(740,682) = 504680 / 2

LCM(740,682) = 252340

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FAQs on GCF of Fractions of 4082/740, 5395/682

1. What is the HCF of 4082,5395?

The HCF of 4082,5395 is 13

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 4082/740, 5395/682?

Answer: GCF of Numerators as per given numbers 4082/740, 5395/682 is

GCF of Numerators i.e. for 4082,5395 is 13

LCM of denominators i.e. for 740,682 is 252340.

Thus, GCF of Fractions is 13/252340.Finally, GCF of Fractions for 4082/740, 5395/682 is 13/252340.