How to Find GCF of 4168/105, 1814/3121?

GCF of 4168/105, 1814/3121

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 4168/105, 1814/3121 i.e 2/327705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4168/105, 1814/3121.

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 4168/105,1814/3121?

Given fractions are 4168/105,1814/3121

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 4168/105,1814/3121, numerators are 4168,1814

Denominators are 105,3121

The GCF of 4168,1814 is 2 .

LCM of 105,3121 is 327705.

The greatest common factor of 4168/105,1814/3121 = [GCF of 4168,1814]/[LCM of 105,3121]= 2/327705

Therefore, the GCF of 4168/105,1814/3121 is 2/327705.

Greatest Common Factor of 4168,1814

To find the highest common factor of 4168,1814, we have to find the factors of both numbers and list the highest common factor.

The factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168

The factors of 1814 are 1, 2, 907, 1814

The HCF of 4168,1814 is 2.

Lets's calculate GCF of 4168,1814

Greatest Common Factor (GCF) of 4168,1814 By Common Division

2	4168, 1814
	2084, 907

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

Greatest Common Factor of 4168,1814 By Matching Biggest Common Factor Method

Now, list down the factors of 4168

1,2,4,8,521,1042,2084,4168

Now, list down the factors of 1814

1,2,907,1814

Greatest Common Factor

We found the factors 4168,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 4168,1814 is 2.

Lets's calculate LCM of 105,3121

Lowest Common Multiple of 105,3121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 327705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/327705

Therefore, the GCF of Fractions 4168/105,1814/3121 is 2/327705

Least Common Multiple of 105,3121 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 105,3121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,3121) = 1

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

GCF(105,3121) x common factors =1 x 1 = 1

LCM(105,3121) = ( 105 × 3121 ) / 1

LCM(105,3121) = 327705 / 1

LCM(105,3121) = 327705

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4168/105, 1814/3121

1. What is the HCF of 4168,1814?

The HCF of 4168,1814 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 4168/105, 1814/3121?

Answer: GCF of Numerators as per given numbers 4168/105, 1814/3121 is

GCF of Numerators i.e. for 4168,1814 is 2

LCM of denominators i.e. for 105,3121 is 327705.

Thus, GCF of Fractions is 2/327705.Finally, GCF of Fractions for 4168/105, 1814/3121 is 2/327705.