How to Find GCF of 5816/695, 9686/3951?

GCF of 5816/695, 9686/3951

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 5816/695, 9686/3951 i.e 2/2745945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5816/695, 9686/3951.

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 5816/695,9686/3951?

Given fractions are 5816/695,9686/3951

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 5816/695,9686/3951, numerators are 5816,9686

Denominators are 695,3951

The GCF of 5816,9686 is 2 .

LCM of 695,3951 is 2745945.

The greatest common factor of 5816/695,9686/3951 = [GCF of 5816,9686]/[LCM of 695,3951]= 2/2745945

Therefore, the GCF of 5816/695,9686/3951 is 2/2745945.

Greatest Common Factor of 5816,9686

To find the highest common factor of 5816,9686, we have to find the factors of both numbers and list the highest common factor.

The factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816

The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686

The HCF of 5816,9686 is 2.

Lets's calculate GCF of 5816,9686

Greatest Common Factor (GCF) of 5816,9686 By Common Division

2	5816, 9686
	2908, 4843

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

Greatest Common Factor of 5816,9686 By Matching Biggest Common Factor Method

Now, list down the factors of 5816

1,2,4,8,727,1454,2908,5816

Now, list down the factors of 9686

1,2,29,58,167,334,4843,9686

Greatest Common Factor

We found the factors 5816,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 5816,9686 is 2.

Lets's calculate LCM of 695,3951

Lowest Common Multiple of 695,3951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2745945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2745945

Therefore, the GCF of Fractions 5816/695,9686/3951 is 2/2745945

Least Common Multiple of 695,3951 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 695,3951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,3951) = 1

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

GCF(695,3951) x common factors =1 x 1 = 1

LCM(695,3951) = ( 695 × 3951 ) / 1

LCM(695,3951) = 2745945 / 1

LCM(695,3951) = 2745945

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FAQs on GCF of Fractions of 5816/695, 9686/3951

1. What is the HCF of 5816,9686?

The HCF of 5816,9686 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 5816/695, 9686/3951?

Answer: GCF of Numerators as per given numbers 5816/695, 9686/3951 is

GCF of Numerators i.e. for 5816,9686 is 2

LCM of denominators i.e. for 695,3951 is 2745945.

Thus, GCF of Fractions is 2/2745945.Finally, GCF of Fractions for 5816/695, 9686/3951 is 2/2745945.