How to Find GCF of 8398/364, 1738/3041?

GCF of 8398/364, 1738/3041

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 8398/364, 1738/3041 i.e 2/1106924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8398/364, 1738/3041.

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 8398/364,1738/3041?

Given fractions are 8398/364,1738/3041

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 8398/364,1738/3041, numerators are 8398,1738

Denominators are 364,3041

The GCF of 8398,1738 is 2 .

LCM of 364,3041 is 1106924.

The greatest common factor of 8398/364,1738/3041 = [GCF of 8398,1738]/[LCM of 364,3041]= 2/1106924

Therefore, the GCF of 8398/364,1738/3041 is 2/1106924.

Greatest Common Factor of 8398,1738

To find the highest common factor of 8398,1738, we have to find the factors of both numbers and list the highest common factor.

The factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398

The factors of 1738 are 1, 2, 11, 22, 79, 158, 869, 1738

The HCF of 8398,1738 is 2.

Lets's calculate GCF of 8398,1738

Greatest Common Factor (GCF) of 8398,1738 By Common Division

2	8398, 1738
	4199, 869

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

Greatest Common Factor of 8398,1738 By Matching Biggest Common Factor Method

Now, list down the factors of 8398

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Now, list down the factors of 1738

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 8398,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,1738 is 2.

Lets's calculate LCM of 364,3041

Lowest Common Multiple of 364,3041 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1106924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1106924

Therefore, the GCF of Fractions 8398/364,1738/3041 is 2/1106924

Least Common Multiple of 364,3041 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 364,3041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,3041) = 1

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

GCF(364,3041) x common factors =1 x 1 = 1

LCM(364,3041) = ( 364 × 3041 ) / 1

LCM(364,3041) = 1106924 / 1

LCM(364,3041) = 1106924

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FAQs on GCF of Fractions of 8398/364, 1738/3041

1. What is the HCF of 8398,1738?

The HCF of 8398,1738 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 8398/364, 1738/3041?

Answer: GCF of Numerators as per given numbers 8398/364, 1738/3041 is

GCF of Numerators i.e. for 8398,1738 is 2

LCM of denominators i.e. for 364,3041 is 1106924.

Thus, GCF of Fractions is 2/1106924.Finally, GCF of Fractions for 8398/364, 1738/3041 is 2/1106924.