How to Find GCF of 3082/711, 8070/1456?

GCF of 3082/711, 8070/1456

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 3082/711, 8070/1456 i.e 2/1035216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/711, 8070/1456.

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 3082/711,8070/1456?

Given fractions are 3082/711,8070/1456

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 3082/711,8070/1456, numerators are 3082,8070

Denominators are 711,1456

The GCF of 3082,8070 is 2 .

LCM of 711,1456 is 1035216.

The greatest common factor of 3082/711,8070/1456 = [GCF of 3082,8070]/[LCM of 711,1456]= 2/1035216

Therefore, the GCF of 3082/711,8070/1456 is 2/1035216.

Greatest Common Factor of 3082,8070

To find the highest common factor of 3082,8070, we have to find the factors of both numbers and list the highest common factor.

The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082

The factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070

The HCF of 3082,8070 is 2.

Lets's calculate GCF of 3082,8070

Greatest Common Factor (GCF) of 3082,8070 By Common Division

2	3082, 8070
	1541, 4035

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

Greatest Common Factor of 3082,8070 By Matching Biggest Common Factor Method

Now, list down the factors of 3082

1,2,23,46,67,134,1541,3082

Now, list down the factors of 8070

1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070

Greatest Common Factor

We found the factors 3082,8070 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,8070 is 2.

Lets's calculate LCM of 711,1456

Lowest Common Multiple of 711,1456 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1035216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1035216

Therefore, the GCF of Fractions 3082/711,8070/1456 is 2/1035216

Least Common Multiple of 711,1456 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 711,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,1456) = 1

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

GCF(711,1456) x common factors =1 x 1 = 1

LCM(711,1456) = ( 711 × 1456 ) / 1

LCM(711,1456) = 1035216 / 1

LCM(711,1456) = 1035216

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3082/711, 8070/1456

1. What is the HCF of 3082,8070?

The HCF of 3082,8070 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 3082/711, 8070/1456?

Answer: GCF of Numerators as per given numbers 3082/711, 8070/1456 is

GCF of Numerators i.e. for 3082,8070 is 2

LCM of denominators i.e. for 711,1456 is 1035216.

Thus, GCF of Fractions is 2/1035216.Finally, GCF of Fractions for 3082/711, 8070/1456 is 2/1035216.