How to Find GCF of 4198/376, 8075/6464?

GCF of 4198/376, 8075/6464

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 4198/376, 8075/6464 i.e 1/303808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4198/376, 8075/6464.

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 4198/376,8075/6464?

Given fractions are 4198/376,8075/6464

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 4198/376,8075/6464, numerators are 4198,8075

Denominators are 376,6464

The GCF of 4198,8075 is 1 .

LCM of 376,6464 is 303808.

The greatest common factor of 4198/376,8075/6464 = [GCF of 4198,8075]/[LCM of 376,6464]= 1/303808

Therefore, the GCF of 4198/376,8075/6464 is 1/303808.

Greatest Common Factor of 4198,8075

To find the highest common factor of 4198,8075, we have to find the factors of both numbers and list the highest common factor.

The factors of 4198 are 1, 2, 2099, 4198

The factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075

The HCF of 4198,8075 is 1.

Lets's calculate GCF of 4198,8075

Greatest Common Factor (GCF) of 4198,8075 By Common Division

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

Greatest Common Factor of 4198,8075 By Matching Biggest Common Factor Method

Now, list down the factors of 4198

1,2,2099,4198

Now, list down the factors of 8075

1,5,17,19,25,85,95,323,425,475,1615,8075

Greatest Common Factor

We found the factors 4198,8075 . The biggest common factor number is the GCF number.
So the greatest common factor 4198,8075 is 1.

Lets's calculate LCM of 376,6464

Lowest Common Multiple of 376,6464 using Common Division

2	376, 6464
2	188, 3232
2	94, 1616
	47, 808

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 808 = 303808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303808

Therefore, the GCF of Fractions 4198/376,8075/6464 is 1/303808

Least Common Multiple of 376,6464 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 376,6464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,6464) = 8

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

GCF(376,6464) x common factors =8 x 1 = 8

LCM(376,6464) = ( 376 × 6464 ) / 8

LCM(376,6464) = 2430464 / 8

LCM(376,6464) = 303808

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4198/376, 8075/6464

1. What is the HCF of 4198,8075?

The HCF of 4198,8075 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 4198/376, 8075/6464?

Answer: GCF of Numerators as per given numbers 4198/376, 8075/6464 is

GCF of Numerators i.e. for 4198,8075 is 1

LCM of denominators i.e. for 376,6464 is 303808.

Thus, GCF of Fractions is 1/303808.Finally, GCF of Fractions for 4198/376, 8075/6464 is 1/303808.