GCF of 5010/192, 9690/1141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5010/192, 9690/1141 i.e 30/219072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5010/192, 9690/1141.
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 5010/192,9690/1141?
Given fractions are 5010/192,9690/1141
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 5010/192,9690/1141, numerators are 5010,9690
Denominators are 192,1141
The GCF of 5010,9690 is 30 .
LCM of 192,1141 is 219072.
The greatest common factor of 5010/192,9690/1141 = [GCF of 5010,9690]/[LCM of 192,1141]= 30/219072
Therefore, the GCF of 5010/192,9690/1141 is 30/219072.
To find the highest common factor of 5010,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The HCF of 5010,9690 is 30.
Lets's calculate GCF of 5010,9690
| 2 | 5010, 9690 |
| 3 | 2505, 4845 |
| 5 | 835, 1615 |
| 167, 323 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5010,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 5010,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 5010,9690 is 30.
Lets's calculate LCM of 192,1141
Given numbers has no common factors except 1. So, there LCM is their product i.e 219072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/219072
Therefore, the GCF of Fractions 5010/192,9690/1141 is 30/219072
Least Common Multiple of 192,1141 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 192,1141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,1141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,1141) x common factors =1 x 1 = 1
LCM(192,1141) = ( 192 × 1141 ) / 1
LCM(192,1141) = 219072 / 1
LCM(192,1141) = 219072
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5010/192, 9690/1141
1. What is the HCF of 5010,9690?
The HCF of 5010,9690 is 30
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 5010/192, 9690/1141?
Answer: GCF of Numerators as per given numbers 5010/192, 9690/1141 is
GCF of Numerators i.e. for 5010,9690 is 30
LCM of denominators i.e. for 192,1141 is 219072.
Thus, GCF of Fractions is 30/219072.Finally, GCF of Fractions for 5010/192, 9690/1141 is 30/219072.