GCF of 5210/921, 9690/9199
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5210/921, 9690/9199 i.e 10/8472279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5210/921, 9690/9199.
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 5210/921,9690/9199?
Given fractions are 5210/921,9690/9199
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 5210/921,9690/9199, numerators are 5210,9690
Denominators are 921,9199
The GCF of 5210,9690 is 10 .
LCM of 921,9199 is 8472279.
The greatest common factor of 5210/921,9690/9199 = [GCF of 5210,9690]/[LCM of 921,9199]= 10/8472279
Therefore, the GCF of 5210/921,9690/9199 is 10/8472279.
To find the highest common factor of 5210,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210
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 5210,9690 is 10.
Lets's calculate GCF of 5210,9690
| 2 | 5210, 9690 |
| 5 | 2605, 4845 |
| 521, 969 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5210,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 5210
:1,2,5,10,521,1042,2605,5210
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 5210,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 5210,9690 is 10.
Lets's calculate LCM of 921,9199
Given numbers has no common factors except 1. So, there LCM is their product i.e 8472279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/8472279
Therefore, the GCF of Fractions 5210/921,9690/9199 is 10/8472279
Least Common Multiple of 921,9199 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 921,9199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,9199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,9199) x common factors =1 x 1 = 1
LCM(921,9199) = ( 921 × 9199 ) / 1
LCM(921,9199) = 8472279 / 1
LCM(921,9199) = 8472279
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5210/921, 9690/9199
1. What is the HCF of 5210,9690?
The HCF of 5210,9690 is 10
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 5210/921, 9690/9199?
Answer: GCF of Numerators as per given numbers 5210/921, 9690/9199 is
GCF of Numerators i.e. for 5210,9690 is 10
LCM of denominators i.e. for 921,9199 is 8472279.
Thus, GCF of Fractions is 10/8472279.Finally, GCF of Fractions for 5210/921, 9690/9199 is 10/8472279.