How to Find GCF of 410/274, 1599/2483?

GCF of 410/274, 1599/2483

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 410/274, 1599/2483 i.e 41/680342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/274, 1599/2483.

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 410/274,1599/2483?

Given fractions are 410/274,1599/2483

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 410/274,1599/2483, numerators are 410,1599

Denominators are 274,2483

The GCF of 410,1599 is 41 .

LCM of 274,2483 is 680342.

The greatest common factor of 410/274,1599/2483 = [GCF of 410,1599]/[LCM of 274,2483]= 41/680342

Therefore, the GCF of 410/274,1599/2483 is 41/680342.

Greatest Common Factor of 410,1599

To find the highest common factor of 410,1599, we have to find the factors of both numbers and list the highest common factor.

The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410

The factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599

The HCF of 410,1599 is 41.

Lets's calculate GCF of 410,1599

Greatest Common Factor (GCF) of 410,1599 By Common Division

41	410, 1599
	10, 39

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 410,1599 By Matching Biggest Common Factor Method

Now, list down the factors of 410

1,2,5,10,41,82,205,410

Now, list down the factors of 1599

1,3,13,39,41,123,533,1599

Greatest Common Factor

We found the factors 410,1599 . The biggest common factor number is the GCF number.
So the greatest common factor 410,1599 is 41.

Lets's calculate LCM of 274,2483

Lowest Common Multiple of 274,2483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 680342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/680342

Therefore, the GCF of Fractions 410/274,1599/2483 is 41/680342

Least Common Multiple of 274,2483 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 274,2483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,2483) = 1

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

GCF(274,2483) x common factors =1 x 1 = 1

LCM(274,2483) = ( 274 × 2483 ) / 1

LCM(274,2483) = 680342 / 1

LCM(274,2483) = 680342

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FAQs on GCF of Fractions of 410/274, 1599/2483

1. What is the HCF of 410,1599?

The HCF of 410,1599 is 41

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 410/274, 1599/2483?

Answer: GCF of Numerators as per given numbers 410/274, 1599/2483 is

GCF of Numerators i.e. for 410,1599 is 41

LCM of denominators i.e. for 274,2483 is 680342.

Thus, GCF of Fractions is 41/680342.Finally, GCF of Fractions for 410/274, 1599/2483 is 41/680342.