How to Find GCF of 2279/958, 8408/3782?

GCF of 2279/958, 8408/3782

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 2279/958, 8408/3782 i.e 1/1811578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2279/958, 8408/3782.

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 2279/958,8408/3782?

Given fractions are 2279/958,8408/3782

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 2279/958,8408/3782, numerators are 2279,8408

Denominators are 958,3782

The GCF of 2279,8408 is 1 .

LCM of 958,3782 is 1811578.

The greatest common factor of 2279/958,8408/3782 = [GCF of 2279,8408]/[LCM of 958,3782]= 1/1811578

Therefore, the GCF of 2279/958,8408/3782 is 1/1811578.

Greatest Common Factor of 2279,8408

To find the highest common factor of 2279,8408, we have to find the factors of both numbers and list the highest common factor.

The factors of 2279 are 1, 43, 53, 2279

The factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408

The HCF of 2279,8408 is 1.

Lets's calculate GCF of 2279,8408

Greatest Common Factor (GCF) of 2279,8408 By Common Division

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

Greatest Common Factor of 2279,8408 By Matching Biggest Common Factor Method

Now, list down the factors of 2279

1,43,53,2279

Now, list down the factors of 8408

1,2,4,8,1051,2102,4204,8408

Greatest Common Factor

We found the factors 2279,8408 . The biggest common factor number is the GCF number.
So the greatest common factor 2279,8408 is 1.

Lets's calculate LCM of 958,3782

Lowest Common Multiple of 958,3782 using Common Division

2	958, 3782
	479, 1891

∴ So the LCM of the given numbers is 2 x 479 x 1891 = 1811578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1811578

Therefore, the GCF of Fractions 2279/958,8408/3782 is 1/1811578

Least Common Multiple of 958,3782 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 958,3782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(958,3782) = 2

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

GCF(958,3782) x common factors =2 x 1 = 2

LCM(958,3782) = ( 958 × 3782 ) / 2

LCM(958,3782) = 3623156 / 2

LCM(958,3782) = 1811578

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2279/958, 8408/3782

1. What is the HCF of 2279,8408?

The HCF of 2279,8408 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 2279/958, 8408/3782?

Answer: GCF of Numerators as per given numbers 2279/958, 8408/3782 is

GCF of Numerators i.e. for 2279,8408 is 1

LCM of denominators i.e. for 958,3782 is 1811578.

Thus, GCF of Fractions is 1/1811578.Finally, GCF of Fractions for 2279/958, 8408/3782 is 1/1811578.