How to Find GCF of 3716/308, 8119/2291?

GCF of 3716/308, 8119/2291

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 3716/308, 8119/2291 i.e 1/705628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3716/308, 8119/2291.

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 3716/308,8119/2291?

Given fractions are 3716/308,8119/2291

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 3716/308,8119/2291, numerators are 3716,8119

Denominators are 308,2291

The GCF of 3716,8119 is 1 .

LCM of 308,2291 is 705628.

The greatest common factor of 3716/308,8119/2291 = [GCF of 3716,8119]/[LCM of 308,2291]= 1/705628

Therefore, the GCF of 3716/308,8119/2291 is 1/705628.

Greatest Common Factor of 3716,8119

To find the highest common factor of 3716,8119, we have to find the factors of both numbers and list the highest common factor.

The factors of 3716 are 1, 2, 4, 929, 1858, 3716

The factors of 8119 are 1, 23, 353, 8119

The HCF of 3716,8119 is 1.

Lets's calculate GCF of 3716,8119

Greatest Common Factor (GCF) of 3716,8119 By Common Division

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

Greatest Common Factor of 3716,8119 By Matching Biggest Common Factor Method

Now, list down the factors of 3716

1,2,4,929,1858,3716

Now, list down the factors of 8119

1,23,353,8119

Greatest Common Factor

We found the factors 3716,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 3716,8119 is 1.

Lets's calculate LCM of 308,2291

Lowest Common Multiple of 308,2291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 705628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705628

Therefore, the GCF of Fractions 3716/308,8119/2291 is 1/705628

Least Common Multiple of 308,2291 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 308,2291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,2291) = 1

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

GCF(308,2291) x common factors =1 x 1 = 1

LCM(308,2291) = ( 308 × 2291 ) / 1

LCM(308,2291) = 705628 / 1

LCM(308,2291) = 705628

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FAQs on GCF of Fractions of 3716/308, 8119/2291

1. What is the HCF of 3716,8119?

The HCF of 3716,8119 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 3716/308, 8119/2291?

Answer: GCF of Numerators as per given numbers 3716/308, 8119/2291 is

GCF of Numerators i.e. for 3716,8119 is 1

LCM of denominators i.e. for 308,2291 is 705628.

Thus, GCF of Fractions is 1/705628.Finally, GCF of Fractions for 3716/308, 8119/2291 is 1/705628.