How to Find GCF of 3434/469, 6279/3433?

GCF of 3434/469, 6279/3433

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 3434/469, 6279/3433 i.e 1/1610077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3434/469, 6279/3433.

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 3434/469,6279/3433?

Given fractions are 3434/469,6279/3433

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 3434/469,6279/3433, numerators are 3434,6279

Denominators are 469,3433

The GCF of 3434,6279 is 1 .

LCM of 469,3433 is 1610077.

The greatest common factor of 3434/469,6279/3433 = [GCF of 3434,6279]/[LCM of 469,3433]= 1/1610077

Therefore, the GCF of 3434/469,6279/3433 is 1/1610077.

Greatest Common Factor of 3434,6279

To find the highest common factor of 3434,6279, we have to find the factors of both numbers and list the highest common factor.

The factors of 3434 are 1, 2, 17, 34, 101, 202, 1717, 3434

The factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279

The HCF of 3434,6279 is 1.

Lets's calculate GCF of 3434,6279

Greatest Common Factor (GCF) of 3434,6279 By Common Division

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

Greatest Common Factor of 3434,6279 By Matching Biggest Common Factor Method

Now, list down the factors of 3434

1,2,17,34,101,202,1717,3434

Now, list down the factors of 6279

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Greatest Common Factor

We found the factors 3434,6279 . The biggest common factor number is the GCF number.
So the greatest common factor 3434,6279 is 1.

Lets's calculate LCM of 469,3433

Lowest Common Multiple of 469,3433 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1610077

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1610077

Therefore, the GCF of Fractions 3434/469,6279/3433 is 1/1610077

Least Common Multiple of 469,3433 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 469,3433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,3433) = 1

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

GCF(469,3433) x common factors =1 x 1 = 1

LCM(469,3433) = ( 469 × 3433 ) / 1

LCM(469,3433) = 1610077 / 1

LCM(469,3433) = 1610077

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3434/469, 6279/3433

1. What is the HCF of 3434,6279?

The HCF of 3434,6279 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 3434/469, 6279/3433?

Answer: GCF of Numerators as per given numbers 3434/469, 6279/3433 is

GCF of Numerators i.e. for 3434,6279 is 1

LCM of denominators i.e. for 469,3433 is 1610077.

Thus, GCF of Fractions is 1/1610077.Finally, GCF of Fractions for 3434/469, 6279/3433 is 1/1610077.