Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 971/620,628/792,757/400
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 971,628,757
Greatest Common Factor of Numerators i.e. GCF of 971,628,757 is 1 .
LCM of Denominators means LCM of 620,792,400 as per the given fractions.
LCM of 620,792,400 is 1227600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 971,628,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 971,628,757 . The biggest common factor number is the GCF number.
So the greatest common factor 971,628,757 is 1.
Lets's calculate LCM of 620,792,400
2 | 620, 792, 400 |
2 | 310, 396, 200 |
2 | 155, 198, 100 |
5 | 155, 99, 50 |
31, 99, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 31 x 99 x 10 = 1227600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1227600
Therefore, the GCF of Fractions 971/620,628/792,757/400 is 1/1227600
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 620,792,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,792,400) = 4
common factors(in case of two or more numbers have common factors) = 40
GCF(620,792,400) x common factors =4 x 40 = 160
LCM(620,792,400) = ( 620 × 792 × 400 ) / 160
LCM(620,792,400) = 196416000 / 160
LCM(620,792,400) = 1227600
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 971/620, 628/792, 757/400?
Answer: GCF of Numerators as per given numbers 971/620, 628/792, 757/400 is
GCF of Numerators i.e. for 971,628,757 is 1
LCM of denominators i.e. for 620,792,400 is 1227600.
Thus, GCF of Fractions is 1/1227600.Finally, GCF of Fractions for 971/620, 628/792, 757/400 is 1/1227600.