GCF of 9620/659, 3003/7072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9620/659, 3003/7072 i.e 13/4660448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9620/659, 3003/7072.
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 9620/659,3003/7072?
Given fractions are 9620/659,3003/7072
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 9620/659,3003/7072, numerators are 9620,3003
Denominators are 659,7072
The GCF of 9620,3003 is 13 .
LCM of 659,7072 is 4660448.
The greatest common factor of 9620/659,3003/7072 = [GCF of 9620,3003]/[LCM of 659,7072]= 13/4660448
Therefore, the GCF of 9620/659,3003/7072 is 13/4660448.
To find the highest common factor of 9620,3003, we have to find the factors of both numbers and list the highest common factor.
The factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The HCF of 9620,3003 is 13.
Lets's calculate GCF of 9620,3003
| 13 | 9620, 3003 |
| 740, 231 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9620,3003 By Matching Biggest Common Factor Method
Now, list down the factors of 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Greatest Common Factor
We found the factors 9620,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,3003 is 13.
Lets's calculate LCM of 659,7072
Given numbers has no common factors except 1. So, there LCM is their product i.e 4660448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4660448
Therefore, the GCF of Fractions 9620/659,3003/7072 is 13/4660448
Least Common Multiple of 659,7072 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 659,7072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,7072) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,7072) x common factors =1 x 1 = 1
LCM(659,7072) = ( 659 × 7072 ) / 1
LCM(659,7072) = 4660448 / 1
LCM(659,7072) = 4660448
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9620/659, 3003/7072
1. What is the HCF of 9620,3003?
The HCF of 9620,3003 is 13
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 9620/659, 3003/7072?
Answer: GCF of Numerators as per given numbers 9620/659, 3003/7072 is
GCF of Numerators i.e. for 9620,3003 is 13
LCM of denominators i.e. for 659,7072 is 4660448.
Thus, GCF of Fractions is 13/4660448.Finally, GCF of Fractions for 9620/659, 3003/7072 is 13/4660448.