Use our free GCF of Fractions Calculator tool to compute the GCF of 9950/162, 5060/6101 i.e 10/988362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9950/162, 5060/6101.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9950/162,5060/6101
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 9950/162,5060/6101, numerators are 9950,5060
Denominators are 162,6101
The GCF of 9950,5060 is 10 .
LCM of 162,6101 is 988362.
The greatest common factor of 9950/162,5060/6101 = [GCF of 9950,5060]/[LCM of 162,6101]= 10/988362
Therefore, the GCF of 9950/162,5060/6101 is 10/988362.
To find the highest common factor of 9950,5060, we have to find the factors of both numbers and list the highest common factor.
The factors of 9950 are 1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950
The factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
The HCF of 9950,5060 is 10.
Lets's calculate GCF of 9950,5060
2 | 9950, 5060 |
5 | 4975, 2530 |
995, 506 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 9950
:1,2,5,10,25,50,199,398,995,1990,4975,9950
Now, list down the factors of 5060
:1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Greatest Common Factor
We found the factors 9950,5060 . The biggest common factor number is the GCF number.
So the greatest common factor 9950,5060 is 10.
Lets's calculate LCM of 162,6101
Given numbers has no common factors except 1. So, there LCM is their product i.e 988362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/988362
Therefore, the GCF of Fractions 9950/162,5060/6101 is 10/988362
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 162,6101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,6101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,6101) x common factors =1 x 1 = 1
LCM(162,6101) = ( 162 × 6101 ) / 1
LCM(162,6101) = 988362 / 1
LCM(162,6101) = 988362
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9950,5060?
The HCF of 9950,5060 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 9950/162, 5060/6101?
Answer: GCF of Numerators as per given numbers 9950/162, 5060/6101 is
GCF of Numerators i.e. for 9950,5060 is 10
LCM of denominators i.e. for 162,6101 is 988362.
Thus, GCF of Fractions is 10/988362.Finally, GCF of Fractions for 9950/162, 5060/6101 is 10/988362.