How to Find GCF of 1982/868, 3506/2861?

GCF of 1982/868, 3506/2861

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 1982/868, 3506/2861 i.e 2/2483348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1982/868, 3506/2861.

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 1982/868,3506/2861?

Given fractions are 1982/868,3506/2861

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 1982/868,3506/2861, numerators are 1982,3506

Denominators are 868,2861

The GCF of 1982,3506 is 2 .

LCM of 868,2861 is 2483348.

The greatest common factor of 1982/868,3506/2861 = [GCF of 1982,3506]/[LCM of 868,2861]= 2/2483348

Therefore, the GCF of 1982/868,3506/2861 is 2/2483348.

Greatest Common Factor of 1982,3506

To find the highest common factor of 1982,3506, we have to find the factors of both numbers and list the highest common factor.

The factors of 1982 are 1, 2, 991, 1982

The factors of 3506 are 1, 2, 1753, 3506

The HCF of 1982,3506 is 2.

Lets's calculate GCF of 1982,3506

Greatest Common Factor (GCF) of 1982,3506 By Common Division

2	1982, 3506
	991, 1753

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

Greatest Common Factor of 1982,3506 By Matching Biggest Common Factor Method

Now, list down the factors of 1982

1,2,991,1982

Now, list down the factors of 3506

1,2,1753,3506

Greatest Common Factor

We found the factors 1982,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 1982,3506 is 2.

Lets's calculate LCM of 868,2861

Lowest Common Multiple of 868,2861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2483348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2483348

Therefore, the GCF of Fractions 1982/868,3506/2861 is 2/2483348

Least Common Multiple of 868,2861 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 868,2861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,2861) = 1

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

GCF(868,2861) x common factors =1 x 1 = 1

LCM(868,2861) = ( 868 × 2861 ) / 1

LCM(868,2861) = 2483348 / 1

LCM(868,2861) = 2483348

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FAQs on GCF of Fractions of 1982/868, 3506/2861

1. What is the HCF of 1982,3506?

The HCF of 1982,3506 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 1982/868, 3506/2861?

Answer: GCF of Numerators as per given numbers 1982/868, 3506/2861 is

GCF of Numerators i.e. for 1982,3506 is 2

LCM of denominators i.e. for 868,2861 is 2483348.

Thus, GCF of Fractions is 2/2483348.Finally, GCF of Fractions for 1982/868, 3506/2861 is 2/2483348.