How to Find GCF of 4118/786, 3812/7711?

GCF of 4118/786, 3812/7711

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 4118/786, 3812/7711 i.e 2/6060846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4118/786, 3812/7711.

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 4118/786,3812/7711?

Given fractions are 4118/786,3812/7711

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 4118/786,3812/7711, numerators are 4118,3812

Denominators are 786,7711

The GCF of 4118,3812 is 2 .

LCM of 786,7711 is 6060846.

The greatest common factor of 4118/786,3812/7711 = [GCF of 4118,3812]/[LCM of 786,7711]= 2/6060846

Therefore, the GCF of 4118/786,3812/7711 is 2/6060846.

Greatest Common Factor of 4118,3812

To find the highest common factor of 4118,3812, we have to find the factors of both numbers and list the highest common factor.

The factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118

The factors of 3812 are 1, 2, 4, 953, 1906, 3812

The HCF of 4118,3812 is 2.

Lets's calculate GCF of 4118,3812

Greatest Common Factor (GCF) of 4118,3812 By Common Division

2	4118, 3812
	2059, 1906

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

Greatest Common Factor of 4118,3812 By Matching Biggest Common Factor Method

Now, list down the factors of 4118

1,2,29,58,71,142,2059,4118

Now, list down the factors of 3812

1,2,4,953,1906,3812

Greatest Common Factor

We found the factors 4118,3812 . The biggest common factor number is the GCF number.
So the greatest common factor 4118,3812 is 2.

Lets's calculate LCM of 786,7711

Lowest Common Multiple of 786,7711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6060846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6060846

Therefore, the GCF of Fractions 4118/786,3812/7711 is 2/6060846

Least Common Multiple of 786,7711 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 786,7711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,7711) = 1

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

GCF(786,7711) x common factors =1 x 1 = 1

LCM(786,7711) = ( 786 × 7711 ) / 1

LCM(786,7711) = 6060846 / 1

LCM(786,7711) = 6060846

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FAQs on GCF of Fractions of 4118/786, 3812/7711

1. What is the HCF of 4118,3812?

The HCF of 4118,3812 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 4118/786, 3812/7711?

Answer: GCF of Numerators as per given numbers 4118/786, 3812/7711 is

GCF of Numerators i.e. for 4118,3812 is 2

LCM of denominators i.e. for 786,7711 is 6060846.

Thus, GCF of Fractions is 2/6060846.Finally, GCF of Fractions for 4118/786, 3812/7711 is 2/6060846.