Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/992,80/488,971/465
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 56,80,971
Greatest Common Factor of Numerators i.e. GCF of 56,80,971 is 1 .
LCM of Denominators means LCM of 992,488,465 as per the given fractions.
LCM of 992,488,465 is 907680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,80,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 56,80,971 . The biggest common factor number is the GCF number.
So the greatest common factor 56,80,971 is 1.
Lets's calculate LCM of 992,488,465
2 | 992, 488, 465 |
2 | 496, 244, 465 |
2 | 248, 122, 465 |
31 | 124, 61, 465 |
4, 61, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 4 x 61 x 15 = 907680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/907680
Therefore, the GCF of Fractions 56/992,80/488,971/465 is 1/907680
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 992,488,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,488,465) = 1
common factors(in case of two or more numbers have common factors) = 248
GCF(992,488,465) x common factors =1 x 248 = 248
LCM(992,488,465) = ( 992 × 488 × 465 ) / 248
LCM(992,488,465) = 225104640 / 248
LCM(992,488,465) = 907680
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 56/992, 80/488, 971/465?
Answer: GCF of Numerators as per given numbers 56/992, 80/488, 971/465 is
GCF of Numerators i.e. for 56,80,971 is 1
LCM of denominators i.e. for 992,488,465 is 907680.
Thus, GCF of Fractions is 1/907680.Finally, GCF of Fractions for 56/992, 80/488, 971/465 is 1/907680.