How to Find GCF of 3011/786, 7047/2834?

GCF of 3011/786, 7047/2834

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 3011/786, 7047/2834 i.e 1/1113762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3011/786, 7047/2834.

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 3011/786,7047/2834?

Given fractions are 3011/786,7047/2834

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 3011/786,7047/2834, numerators are 3011,7047

Denominators are 786,2834

The GCF of 3011,7047 is 1 .

LCM of 786,2834 is 1113762.

The greatest common factor of 3011/786,7047/2834 = [GCF of 3011,7047]/[LCM of 786,2834]= 1/1113762

Therefore, the GCF of 3011/786,7047/2834 is 1/1113762.

Greatest Common Factor of 3011,7047

To find the highest common factor of 3011,7047, we have to find the factors of both numbers and list the highest common factor.

The factors of 3011 are 1, 3011

The factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047

The HCF of 3011,7047 is 1.

Lets's calculate GCF of 3011,7047

Greatest Common Factor (GCF) of 3011,7047 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3011,7047 By Matching Biggest Common Factor Method

Now, list down the factors of 3011

1,3011

Now, list down the factors of 7047

1,3,9,27,29,81,87,243,261,783,2349,7047

Greatest Common Factor

We found the factors 3011,7047 . The biggest common factor number is the GCF number.
So the greatest common factor 3011,7047 is 1.

Lets's calculate LCM of 786,2834

Lowest Common Multiple of 786,2834 using Common Division

2	786, 2834
	393, 1417

∴ So the LCM of the given numbers is 2 x 393 x 1417 = 1113762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1113762

Therefore, the GCF of Fractions 3011/786,7047/2834 is 1/1113762

Least Common Multiple of 786,2834 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 786,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,2834) = 2

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

GCF(786,2834) x common factors =2 x 1 = 2

LCM(786,2834) = ( 786 × 2834 ) / 2

LCM(786,2834) = 2227524 / 2

LCM(786,2834) = 1113762

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3011/786, 7047/2834

1. What is the HCF of 3011,7047?

The HCF of 3011,7047 is 1

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 3011/786, 7047/2834?

Answer: GCF of Numerators as per given numbers 3011/786, 7047/2834 is

GCF of Numerators i.e. for 3011,7047 is 1

LCM of denominators i.e. for 786,2834 is 1113762.

Thus, GCF of Fractions is 1/1113762.Finally, GCF of Fractions for 3011/786, 7047/2834 is 1/1113762.