Use our free GCF of Fractions Calculator tool to compute the GCF of 5122/185, 9970/7406 i.e 2/1370110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5122/185, 9970/7406.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5122/185,9970/7406
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 5122/185,9970/7406, numerators are 5122,9970
Denominators are 185,7406
The GCF of 5122,9970 is 2 .
LCM of 185,7406 is 1370110.
The greatest common factor of 5122/185,9970/7406 = [GCF of 5122,9970]/[LCM of 185,7406]= 2/1370110
Therefore, the GCF of 5122/185,9970/7406 is 2/1370110.
To find the highest common factor of 5122,9970, we have to find the factors of both numbers and list the highest common factor.
The factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122
The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970
The HCF of 5122,9970 is 2.
Lets's calculate GCF of 5122,9970
2 | 5122, 9970 |
2561, 4985 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5122
:1,2,13,26,197,394,2561,5122
Now, list down the factors of 9970
:1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 5122,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 5122,9970 is 2.
Lets's calculate LCM of 185,7406
Given numbers has no common factors except 1. So, there LCM is their product i.e 1370110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1370110
Therefore, the GCF of Fractions 5122/185,9970/7406 is 2/1370110
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 185,7406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,7406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,7406) x common factors =1 x 1 = 1
LCM(185,7406) = ( 185 × 7406 ) / 1
LCM(185,7406) = 1370110 / 1
LCM(185,7406) = 1370110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5122,9970?
The HCF of 5122,9970 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 5122/185, 9970/7406?
Answer: GCF of Numerators as per given numbers 5122/185, 9970/7406 is
GCF of Numerators i.e. for 5122,9970 is 2
LCM of denominators i.e. for 185,7406 is 1370110.
Thus, GCF of Fractions is 2/1370110.Finally, GCF of Fractions for 5122/185, 9970/7406 is 2/1370110.