How to Find GCF of 1418/971, 2082/2662?

GCF of 1418/971, 2082/2662

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 1418/971, 2082/2662 i.e 2/2584802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1418/971, 2082/2662.

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 1418/971,2082/2662?

Given fractions are 1418/971,2082/2662

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 1418/971,2082/2662, numerators are 1418,2082

Denominators are 971,2662

The GCF of 1418,2082 is 2 .

LCM of 971,2662 is 2584802.

The greatest common factor of 1418/971,2082/2662 = [GCF of 1418,2082]/[LCM of 971,2662]= 2/2584802

Therefore, the GCF of 1418/971,2082/2662 is 2/2584802.

Greatest Common Factor of 1418,2082

To find the highest common factor of 1418,2082, we have to find the factors of both numbers and list the highest common factor.

The factors of 1418 are 1, 2, 709, 1418

The factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082

The HCF of 1418,2082 is 2.

Lets's calculate GCF of 1418,2082

Greatest Common Factor (GCF) of 1418,2082 By Common Division

2	1418, 2082
	709, 1041

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1418,2082 By Matching Biggest Common Factor Method

Now, list down the factors of 1418

1,2,709,1418

Now, list down the factors of 2082

1,2,3,6,347,694,1041,2082

Greatest Common Factor

We found the factors 1418,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 1418,2082 is 2.

Lets's calculate LCM of 971,2662

Lowest Common Multiple of 971,2662 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2584802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2584802

Therefore, the GCF of Fractions 1418/971,2082/2662 is 2/2584802

Least Common Multiple of 971,2662 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 971,2662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,2662) = 1

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

GCF(971,2662) x common factors =1 x 1 = 1

LCM(971,2662) = ( 971 × 2662 ) / 1

LCM(971,2662) = 2584802 / 1

LCM(971,2662) = 2584802

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1418/971, 2082/2662

1. What is the HCF of 1418,2082?

The HCF of 1418,2082 is 2

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 1418/971, 2082/2662?

Answer: GCF of Numerators as per given numbers 1418/971, 2082/2662 is

GCF of Numerators i.e. for 1418,2082 is 2

LCM of denominators i.e. for 971,2662 is 2584802.

Thus, GCF of Fractions is 2/2584802.Finally, GCF of Fractions for 1418/971, 2082/2662 is 2/2584802.