GCF of 246/966, 6050/8221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 246/966, 6050/8221 i.e 2/7941486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/966, 6050/8221.
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 246/966,6050/8221?
Given fractions are 246/966,6050/8221
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 246/966,6050/8221, numerators are 246,6050
Denominators are 966,8221
The GCF of 246,6050 is 2 .
LCM of 966,8221 is 7941486.
The greatest common factor of 246/966,6050/8221 = [GCF of 246,6050]/[LCM of 966,8221]= 2/7941486
Therefore, the GCF of 246/966,6050/8221 is 2/7941486.
To find the highest common factor of 246,6050, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050
The HCF of 246,6050 is 2.
Lets's calculate GCF of 246,6050
| 2 | 246, 6050 |
| 123, 3025 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 246,6050 By Matching Biggest Common Factor Method
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 6050
:1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050
Greatest Common Factor
We found the factors 246,6050 . The biggest common factor number is the GCF number.
So the greatest common factor 246,6050 is 2.
Lets's calculate LCM of 966,8221
Given numbers has no common factors except 1. So, there LCM is their product i.e 7941486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7941486
Therefore, the GCF of Fractions 246/966,6050/8221 is 2/7941486
Least Common Multiple of 966,8221 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 966,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,8221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,8221) x common factors =1 x 1 = 1
LCM(966,8221) = ( 966 × 8221 ) / 1
LCM(966,8221) = 7941486 / 1
LCM(966,8221) = 7941486
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 246/966, 6050/8221
1. What is the HCF of 246,6050?
The HCF of 246,6050 is 2
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 246/966, 6050/8221?
Answer: GCF of Numerators as per given numbers 246/966, 6050/8221 is
GCF of Numerators i.e. for 246,6050 is 2
LCM of denominators i.e. for 966,8221 is 7941486.
Thus, GCF of Fractions is 2/7941486.Finally, GCF of Fractions for 246/966, 6050/8221 is 2/7941486.