Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 350/98,874/47,642/917
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 350,874,642
Greatest Common Factor of Numerators i.e. GCF of 350,874,642 is 2 .
LCM of Denominators means LCM of 98,47,917 as per the given fractions.
LCM of 98,47,917 is 603386 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 350,874,642
2 | 350, 874, 642 |
175, 437, 321 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 350,874,642 . The biggest common factor number is the GCF number.
So the greatest common factor 350,874,642 is 2.
Lets's calculate LCM of 98,47,917
7 | 98, 47, 917 |
14, 47, 131 |
∴ So the LCM of the given numbers is 7 x 14 x 47 x 131 = 603386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/603386
Therefore, the GCF of Fractions 350/98,874/47,642/917 is 2/603386
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 98,47,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,47,917) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(98,47,917) x common factors =1 x 7 = 7
LCM(98,47,917) = ( 98 × 47 × 917 ) / 7
LCM(98,47,917) = 4223702 / 7
LCM(98,47,917) = 603386
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 350/98, 874/47, 642/917?
Answer: GCF of Numerators as per given numbers 350/98, 874/47, 642/917 is
GCF of Numerators i.e. for 350,874,642 is 2
LCM of denominators i.e. for 98,47,917 is 603386.
Thus, GCF of Fractions is 2/603386.Finally, GCF of Fractions for 350/98, 874/47, 642/917 is 2/603386.