GCF of 1639/550, 8708/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1639/550, 8708/902 i.e 1/22550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1639/550, 8708/902.
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 1639/550,8708/902?
Given fractions are 1639/550,8708/902
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 1639/550,8708/902, numerators are 1639,8708
Denominators are 550,902
The GCF of 1639,8708 is 1 .
LCM of 550,902 is 22550.
The greatest common factor of 1639/550,8708/902 = [GCF of 1639,8708]/[LCM of 550,902]= 1/22550
Therefore, the GCF of 1639/550,8708/902 is 1/22550.
To find the highest common factor of 1639,8708, we have to find the factors of both numbers and list the highest common factor.
The factors of 1639 are 1, 11, 149, 1639
The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708
The HCF of 1639,8708 is 1.
Lets's calculate GCF of 1639,8708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1639,8708 By Matching Biggest Common Factor Method
Now, list down the factors of 1639
:1,11,149,1639
Now, list down the factors of 8708
:1,2,4,7,14,28,311,622,1244,2177,4354,8708
Greatest Common Factor
We found the factors 1639,8708 . The biggest common factor number is the GCF number.
So the greatest common factor 1639,8708 is 1.
Lets's calculate LCM of 550,902
| 2 | 550, 902 |
| 11 | 275, 451 |
| 25, 41 |
∴ So the LCM of the given numbers is 2 x 11 x 25 x 41 = 22550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22550
Therefore, the GCF of Fractions 1639/550,8708/902 is 1/22550
Least Common Multiple of 550,902 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 550,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,902) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(550,902) x common factors =22 x 1 = 22
LCM(550,902) = ( 550 × 902 ) / 22
LCM(550,902) = 496100 / 22
LCM(550,902) = 22550
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1639/550, 8708/902
1. What is the HCF of 1639,8708?
The HCF of 1639,8708 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 1639/550, 8708/902?
Answer: GCF of Numerators as per given numbers 1639/550, 8708/902 is
GCF of Numerators i.e. for 1639,8708 is 1
LCM of denominators i.e. for 550,902 is 22550.
Thus, GCF of Fractions is 1/22550.Finally, GCF of Fractions for 1639/550, 8708/902 is 1/22550.