GCF of 6550/194, 1516/6221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6550/194, 1516/6221 i.e 2/1206874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6550/194, 1516/6221.
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 6550/194,1516/6221?
Given fractions are 6550/194,1516/6221
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 6550/194,1516/6221, numerators are 6550,1516
Denominators are 194,6221
The GCF of 6550,1516 is 2 .
LCM of 194,6221 is 1206874.
The greatest common factor of 6550/194,1516/6221 = [GCF of 6550,1516]/[LCM of 194,6221]= 2/1206874
Therefore, the GCF of 6550/194,1516/6221 is 2/1206874.
To find the highest common factor of 6550,1516, we have to find the factors of both numbers and list the highest common factor.
The factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550
The factors of 1516 are 1, 2, 4, 379, 758, 1516
The HCF of 6550,1516 is 2.
Lets's calculate GCF of 6550,1516
| 2 | 6550, 1516 |
| 3275, 758 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6550,1516 By Matching Biggest Common Factor Method
Now, list down the factors of 6550
:1,2,5,10,25,50,131,262,655,1310,3275,6550
Now, list down the factors of 1516
:1,2,4,379,758,1516
Greatest Common Factor
We found the factors 6550,1516 . The biggest common factor number is the GCF number.
So the greatest common factor 6550,1516 is 2.
Lets's calculate LCM of 194,6221
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1206874
Therefore, the GCF of Fractions 6550/194,1516/6221 is 2/1206874
Least Common Multiple of 194,6221 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 194,6221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,6221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,6221) x common factors =1 x 1 = 1
LCM(194,6221) = ( 194 × 6221 ) / 1
LCM(194,6221) = 1206874 / 1
LCM(194,6221) = 1206874
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6550/194, 1516/6221
1. What is the HCF of 6550,1516?
The HCF of 6550,1516 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 6550/194, 1516/6221?
Answer: GCF of Numerators as per given numbers 6550/194, 1516/6221 is
GCF of Numerators i.e. for 6550,1516 is 2
LCM of denominators i.e. for 194,6221 is 1206874.
Thus, GCF of Fractions is 2/1206874.Finally, GCF of Fractions for 6550/194, 1516/6221 is 2/1206874.