Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/88,778/80,972/840
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 990,778,972
Greatest Common Factor of Numerators i.e. GCF of 990,778,972 is 2 .
LCM of Denominators means LCM of 88,80,840 as per the given fractions.
LCM of 88,80,840 is 18480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 990,778,972
2 | 990, 778, 972 |
495, 389, 486 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 990,778,972 . The biggest common factor number is the GCF number.
So the greatest common factor 990,778,972 is 2.
Lets's calculate LCM of 88,80,840
2 | 88, 80, 840 |
2 | 44, 40, 420 |
2 | 22, 20, 210 |
5 | 11, 10, 105 |
11, 2, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 2 x 21 = 18480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18480
Therefore, the GCF of Fractions 990/88,778/80,972/840 is 2/18480
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 88,80,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,80,840) = 8
common factors(in case of two or more numbers have common factors) = 40
GCF(88,80,840) x common factors =8 x 40 = 320
LCM(88,80,840) = ( 88 × 80 × 840 ) / 320
LCM(88,80,840) = 5913600 / 320
LCM(88,80,840) = 18480
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 990/88, 778/80, 972/840?
Answer: GCF of Numerators as per given numbers 990/88, 778/80, 972/840 is
GCF of Numerators i.e. for 990,778,972 is 2
LCM of denominators i.e. for 88,80,840 is 18480.
Thus, GCF of Fractions is 2/18480.Finally, GCF of Fractions for 990/88, 778/80, 972/840 is 2/18480.