How to Find GCF of 4069/114, 1999/6150?

GCF of 4069/114, 1999/6150

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 4069/114, 1999/6150 i.e 1/116850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4069/114, 1999/6150.

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 4069/114,1999/6150?

Given fractions are 4069/114,1999/6150

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 4069/114,1999/6150, numerators are 4069,1999

Denominators are 114,6150

The GCF of 4069,1999 is 1 .

LCM of 114,6150 is 116850.

The greatest common factor of 4069/114,1999/6150 = [GCF of 4069,1999]/[LCM of 114,6150]= 1/116850

Therefore, the GCF of 4069/114,1999/6150 is 1/116850.

Greatest Common Factor of 4069,1999

To find the highest common factor of 4069,1999, we have to find the factors of both numbers and list the highest common factor.

The factors of 4069 are 1, 13, 313, 4069

The factors of 1999 are 1, 1999

The HCF of 4069,1999 is 1.

Lets's calculate GCF of 4069,1999

Greatest Common Factor (GCF) of 4069,1999 By Common Division

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

Greatest Common Factor of 4069,1999 By Matching Biggest Common Factor Method

Now, list down the factors of 4069

1,13,313,4069

Now, list down the factors of 1999

1,1999

Greatest Common Factor

We found the factors 4069,1999 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,1999 is 1.

Lets's calculate LCM of 114,6150

Lowest Common Multiple of 114,6150 using Common Division

2	114, 6150
3	57, 3075
	19, 1025

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1025 = 116850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116850

Therefore, the GCF of Fractions 4069/114,1999/6150 is 1/116850

Least Common Multiple of 114,6150 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 114,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,6150) = 6

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

GCF(114,6150) x common factors =6 x 1 = 6

LCM(114,6150) = ( 114 × 6150 ) / 6

LCM(114,6150) = 701100 / 6

LCM(114,6150) = 116850

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FAQs on GCF of Fractions of 4069/114, 1999/6150

1. What is the HCF of 4069,1999?

The HCF of 4069,1999 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 4069/114, 1999/6150?

Answer: GCF of Numerators as per given numbers 4069/114, 1999/6150 is

GCF of Numerators i.e. for 4069,1999 is 1

LCM of denominators i.e. for 114,6150 is 116850.

Thus, GCF of Fractions is 1/116850.Finally, GCF of Fractions for 4069/114, 1999/6150 is 1/116850.