How to Find GCF of 8179/308, 4383/3800?

GCF of 8179/308, 4383/3800

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 8179/308, 4383/3800 i.e 1/292600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8179/308, 4383/3800.

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 8179/308,4383/3800?

Given fractions are 8179/308,4383/3800

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 8179/308,4383/3800, numerators are 8179,4383

Denominators are 308,3800

The GCF of 8179,4383 is 1 .

LCM of 308,3800 is 292600.

The greatest common factor of 8179/308,4383/3800 = [GCF of 8179,4383]/[LCM of 308,3800]= 1/292600

Therefore, the GCF of 8179/308,4383/3800 is 1/292600.

Greatest Common Factor of 8179,4383

To find the highest common factor of 8179,4383, we have to find the factors of both numbers and list the highest common factor.

The factors of 8179 are 1, 8179

The factors of 4383 are 1, 3, 9, 487, 1461, 4383

The HCF of 8179,4383 is 1.

Lets's calculate GCF of 8179,4383

Greatest Common Factor (GCF) of 8179,4383 By Common Division

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

Greatest Common Factor of 8179,4383 By Matching Biggest Common Factor Method

Now, list down the factors of 8179

1,8179

Now, list down the factors of 4383

1,3,9,487,1461,4383

Greatest Common Factor

We found the factors 8179,4383 . The biggest common factor number is the GCF number.
So the greatest common factor 8179,4383 is 1.

Lets's calculate LCM of 308,3800

Lowest Common Multiple of 308,3800 using Common Division

2	308, 3800
2	154, 1900
	77, 950

∴ So the LCM of the given numbers is 2 x 2 x 77 x 950 = 292600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292600

Therefore, the GCF of Fractions 8179/308,4383/3800 is 1/292600

Least Common Multiple of 308,3800 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 308,3800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,3800) = 4

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

GCF(308,3800) x common factors =4 x 1 = 4

LCM(308,3800) = ( 308 × 3800 ) / 4

LCM(308,3800) = 1170400 / 4

LCM(308,3800) = 292600

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FAQs on GCF of Fractions of 8179/308, 4383/3800

1. What is the HCF of 8179,4383?

The HCF of 8179,4383 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 8179/308, 4383/3800?

Answer: GCF of Numerators as per given numbers 8179/308, 4383/3800 is

GCF of Numerators i.e. for 8179,4383 is 1

LCM of denominators i.e. for 308,3800 is 292600.

Thus, GCF of Fractions is 1/292600.Finally, GCF of Fractions for 8179/308, 4383/3800 is 1/292600.