GCF of 9048/221, 4170/6091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9048/221, 4170/6091 i.e 6/1346111 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9048/221, 4170/6091.
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 9048/221,4170/6091?
Given fractions are 9048/221,4170/6091
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 9048/221,4170/6091, numerators are 9048,4170
Denominators are 221,6091
The GCF of 9048,4170 is 6 .
LCM of 221,6091 is 1346111.
The greatest common factor of 9048/221,4170/6091 = [GCF of 9048,4170]/[LCM of 221,6091]= 6/1346111
Therefore, the GCF of 9048/221,4170/6091 is 6/1346111.
To find the highest common factor of 9048,4170, we have to find the factors of both numbers and list the highest common factor.
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The HCF of 9048,4170 is 6.
Lets's calculate GCF of 9048,4170
| 2 | 9048, 4170 |
| 3 | 4524, 2085 |
| 1508, 695 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9048,4170 By Matching Biggest Common Factor Method
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 9048,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 9048,4170 is 6.
Lets's calculate LCM of 221,6091
Given numbers has no common factors except 1. So, there LCM is their product i.e 1346111
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1346111
Therefore, the GCF of Fractions 9048/221,4170/6091 is 6/1346111
Least Common Multiple of 221,6091 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 221,6091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,6091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,6091) x common factors =1 x 1 = 1
LCM(221,6091) = ( 221 × 6091 ) / 1
LCM(221,6091) = 1346111 / 1
LCM(221,6091) = 1346111
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FAQs on GCF of Fractions of 9048/221, 4170/6091
1. What is the HCF of 9048,4170?
The HCF of 9048,4170 is 6
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 9048/221, 4170/6091?
Answer: GCF of Numerators as per given numbers 9048/221, 4170/6091 is
GCF of Numerators i.e. for 9048,4170 is 6
LCM of denominators i.e. for 221,6091 is 1346111.
Thus, GCF of Fractions is 6/1346111.Finally, GCF of Fractions for 9048/221, 4170/6091 is 6/1346111.