GCF of 3435/767, 3647/4189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3435/767, 3647/4189 i.e 1/54457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3435/767, 3647/4189.
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 3435/767,3647/4189?
Given fractions are 3435/767,3647/4189
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 3435/767,3647/4189, numerators are 3435,3647
Denominators are 767,4189
The GCF of 3435,3647 is 1 .
LCM of 767,4189 is 54457.
The greatest common factor of 3435/767,3647/4189 = [GCF of 3435,3647]/[LCM of 767,4189]= 1/54457
Therefore, the GCF of 3435/767,3647/4189 is 1/54457.
To find the highest common factor of 3435,3647, we have to find the factors of both numbers and list the highest common factor.
The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435
The factors of 3647 are 1, 7, 521, 3647
The HCF of 3435,3647 is 1.
Lets's calculate GCF of 3435,3647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3435,3647 By Matching Biggest Common Factor Method
Now, list down the factors of 3435
:1,3,5,15,229,687,1145,3435
Now, list down the factors of 3647
:1,7,521,3647
Greatest Common Factor
We found the factors 3435,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,3647 is 1.
Lets's calculate LCM of 767,4189
| 59 | 767, 4189 |
| 13, 71 |
∴ So the LCM of the given numbers is 59 x 13 x 71 = 54457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54457
Therefore, the GCF of Fractions 3435/767,3647/4189 is 1/54457
Least Common Multiple of 767,4189 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 767,4189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,4189) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(767,4189) x common factors =59 x 1 = 59
LCM(767,4189) = ( 767 × 4189 ) / 59
LCM(767,4189) = 3212963 / 59
LCM(767,4189) = 54457
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3435/767, 3647/4189
1. What is the HCF of 3435,3647?
The HCF of 3435,3647 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 3435/767, 3647/4189?
Answer: GCF of Numerators as per given numbers 3435/767, 3647/4189 is
GCF of Numerators i.e. for 3435,3647 is 1
LCM of denominators i.e. for 767,4189 is 54457.
Thus, GCF of Fractions is 1/54457.Finally, GCF of Fractions for 3435/767, 3647/4189 is 1/54457.