Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/52,640/71,358/939
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 98,640,358
Greatest Common Factor of Numerators i.e. GCF of 98,640,358 is 2 .
LCM of Denominators means LCM of 52,71,939 as per the given fractions.
LCM of 52,71,939 is 3466788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,640,358
2 | 98, 640, 358 |
49, 320, 179 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 98,640,358 . The biggest common factor number is the GCF number.
So the greatest common factor 98,640,358 is 2.
Lets's calculate LCM of 52,71,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 3466788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3466788
Therefore, the GCF of Fractions 98/52,640/71,358/939 is 2/3466788
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 52,71,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,71,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,71,939) x common factors =1 x 1 = 1
LCM(52,71,939) = ( 52 × 71 × 939 ) / 1
LCM(52,71,939) = 3466788 / 1
LCM(52,71,939) = 3466788
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 98/52, 640/71, 358/939?
Answer: GCF of Numerators as per given numbers 98/52, 640/71, 358/939 is
GCF of Numerators i.e. for 98,640,358 is 2
LCM of denominators i.e. for 52,71,939 is 3466788.
Thus, GCF of Fractions is 2/3466788.Finally, GCF of Fractions for 98/52, 640/71, 358/939 is 2/3466788.