GCF of 390/969, 6153/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 390/969, 6153/236 i.e 3/228684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 390/969, 6153/236.
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 390/969,6153/236?
Given fractions are 390/969,6153/236
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 390/969,6153/236, numerators are 390,6153
Denominators are 969,236
The GCF of 390,6153 is 3 .
LCM of 969,236 is 228684.
The greatest common factor of 390/969,6153/236 = [GCF of 390,6153]/[LCM of 969,236]= 3/228684
Therefore, the GCF of 390/969,6153/236 is 3/228684.
To find the highest common factor of 390,6153, we have to find the factors of both numbers and list the highest common factor.
The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
The factors of 6153 are 1, 3, 7, 21, 293, 879, 2051, 6153
The HCF of 390,6153 is 3.
Lets's calculate GCF of 390,6153
| 3 | 390, 6153 |
| 130, 2051 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 390,6153 By Matching Biggest Common Factor Method
Now, list down the factors of 390
:1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Now, list down the factors of 6153
:1,3,7,21,293,879,2051,6153
Greatest Common Factor
We found the factors 390,6153 . The biggest common factor number is the GCF number.
So the greatest common factor 390,6153 is 3.
Lets's calculate LCM of 969,236
Given numbers has no common factors except 1. So, there LCM is their product i.e 228684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/228684
Therefore, the GCF of Fractions 390/969,6153/236 is 3/228684
Least Common Multiple of 969,236 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 969,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,236) x common factors =1 x 1 = 1
LCM(969,236) = ( 969 × 236 ) / 1
LCM(969,236) = 228684 / 1
LCM(969,236) = 228684
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 390/969, 6153/236
1. What is the HCF of 390,6153?
The HCF of 390,6153 is 3
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 390/969, 6153/236?
Answer: GCF of Numerators as per given numbers 390/969, 6153/236 is
GCF of Numerators i.e. for 390,6153 is 3
LCM of denominators i.e. for 969,236 is 228684.
Thus, GCF of Fractions is 3/228684.Finally, GCF of Fractions for 390/969, 6153/236 is 3/228684.