How to Find GCF of 3836/931, 1318/9116?

GCF of 3836/931, 1318/9116

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 3836/931, 1318/9116 i.e 2/8486996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3836/931, 1318/9116.

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 3836/931,1318/9116?

Given fractions are 3836/931,1318/9116

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 3836/931,1318/9116, numerators are 3836,1318

Denominators are 931,9116

The GCF of 3836,1318 is 2 .

LCM of 931,9116 is 8486996.

The greatest common factor of 3836/931,1318/9116 = [GCF of 3836,1318]/[LCM of 931,9116]= 2/8486996

Therefore, the GCF of 3836/931,1318/9116 is 2/8486996.

Greatest Common Factor of 3836,1318

To find the highest common factor of 3836,1318, we have to find the factors of both numbers and list the highest common factor.

The factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836

The factors of 1318 are 1, 2, 659, 1318

The HCF of 3836,1318 is 2.

Lets's calculate GCF of 3836,1318

Greatest Common Factor (GCF) of 3836,1318 By Common Division

2	3836, 1318
	1918, 659

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

Greatest Common Factor of 3836,1318 By Matching Biggest Common Factor Method

Now, list down the factors of 3836

1,2,4,7,14,28,137,274,548,959,1918,3836

Now, list down the factors of 1318

1,2,659,1318

Greatest Common Factor

We found the factors 3836,1318 . The biggest common factor number is the GCF number.
So the greatest common factor 3836,1318 is 2.

Lets's calculate LCM of 931,9116

Lowest Common Multiple of 931,9116 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8486996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8486996

Therefore, the GCF of Fractions 3836/931,1318/9116 is 2/8486996

Least Common Multiple of 931,9116 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 931,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,9116) = 1

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

GCF(931,9116) x common factors =1 x 1 = 1

LCM(931,9116) = ( 931 × 9116 ) / 1

LCM(931,9116) = 8486996 / 1

LCM(931,9116) = 8486996

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FAQs on GCF of Fractions of 3836/931, 1318/9116

1. What is the HCF of 3836,1318?

The HCF of 3836,1318 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 3836/931, 1318/9116?

Answer: GCF of Numerators as per given numbers 3836/931, 1318/9116 is

GCF of Numerators i.e. for 3836,1318 is 2

LCM of denominators i.e. for 931,9116 is 8486996.

Thus, GCF of Fractions is 2/8486996.Finally, GCF of Fractions for 3836/931, 1318/9116 is 2/8486996.