Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/41,490/44,674/997
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 988,490,674
Greatest Common Factor of Numerators i.e. GCF of 988,490,674 is 2 .
LCM of Denominators means LCM of 41,44,997 as per the given fractions.
LCM of 41,44,997 is 1798588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 988,490,674
2 | 988, 490, 674 |
494, 245, 337 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 988,490,674 . The biggest common factor number is the GCF number.
So the greatest common factor 988,490,674 is 2.
Lets's calculate LCM of 41,44,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 1798588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1798588
Therefore, the GCF of Fractions 988/41,490/44,674/997 is 2/1798588
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 41,44,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,44,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,44,997) x common factors =1 x 1 = 1
LCM(41,44,997) = ( 41 × 44 × 997 ) / 1
LCM(41,44,997) = 1798588 / 1
LCM(41,44,997) = 1798588
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 988/41, 490/44, 674/997?
Answer: GCF of Numerators as per given numbers 988/41, 490/44, 674/997 is
GCF of Numerators i.e. for 988,490,674 is 2
LCM of denominators i.e. for 41,44,997 is 1798588.
Thus, GCF of Fractions is 2/1798588.Finally, GCF of Fractions for 988/41, 490/44, 674/997 is 2/1798588.