GCF of 9019/700, 3899/6610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9019/700, 3899/6610 i.e 1/462700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9019/700, 3899/6610.
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 9019/700,3899/6610?
Given fractions are 9019/700,3899/6610
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 9019/700,3899/6610, numerators are 9019,3899
Denominators are 700,6610
The GCF of 9019,3899 is 1 .
LCM of 700,6610 is 462700.
The greatest common factor of 9019/700,3899/6610 = [GCF of 9019,3899]/[LCM of 700,6610]= 1/462700
Therefore, the GCF of 9019/700,3899/6610 is 1/462700.
To find the highest common factor of 9019,3899, we have to find the factors of both numbers and list the highest common factor.
The factors of 9019 are 1, 29, 311, 9019
The factors of 3899 are 1, 7, 557, 3899
The HCF of 9019,3899 is 1.
Lets's calculate GCF of 9019,3899
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9019,3899 By Matching Biggest Common Factor Method
Now, list down the factors of 9019
:1,29,311,9019
Now, list down the factors of 3899
:1,7,557,3899
Greatest Common Factor
We found the factors 9019,3899 . The biggest common factor number is the GCF number.
So the greatest common factor 9019,3899 is 1.
Lets's calculate LCM of 700,6610
| 2 | 700, 6610 |
| 5 | 350, 3305 |
| 70, 661 |
∴ So the LCM of the given numbers is 2 x 5 x 70 x 661 = 462700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462700
Therefore, the GCF of Fractions 9019/700,3899/6610 is 1/462700
Least Common Multiple of 700,6610 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 700,6610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,6610) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(700,6610) x common factors =10 x 1 = 10
LCM(700,6610) = ( 700 × 6610 ) / 10
LCM(700,6610) = 4627000 / 10
LCM(700,6610) = 462700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9019/700, 3899/6610
1. What is the HCF of 9019,3899?
The HCF of 9019,3899 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 9019/700, 3899/6610?
Answer: GCF of Numerators as per given numbers 9019/700, 3899/6610 is
GCF of Numerators i.e. for 9019,3899 is 1
LCM of denominators i.e. for 700,6610 is 462700.
Thus, GCF of Fractions is 1/462700.Finally, GCF of Fractions for 9019/700, 3899/6610 is 1/462700.