Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/20,914/62,894/332
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 657,914,894
Greatest Common Factor of Numerators i.e. GCF of 657,914,894 is 1 .
LCM of Denominators means LCM of 20,62,332 as per the given fractions.
LCM of 20,62,332 is 51460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,914,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 657,914,894 . The biggest common factor number is the GCF number.
So the greatest common factor 657,914,894 is 1.
Lets's calculate LCM of 20,62,332
2 | 20, 62, 332 |
2 | 10, 31, 166 |
5, 31, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 83 = 51460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51460
Therefore, the GCF of Fractions 657/20,914/62,894/332 is 1/51460
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 20,62,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,62,332) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,62,332) x common factors =2 x 4 = 8
LCM(20,62,332) = ( 20 × 62 × 332 ) / 8
LCM(20,62,332) = 411680 / 8
LCM(20,62,332) = 51460
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 657/20, 914/62, 894/332?
Answer: GCF of Numerators as per given numbers 657/20, 914/62, 894/332 is
GCF of Numerators i.e. for 657,914,894 is 1
LCM of denominators i.e. for 20,62,332 is 51460.
Thus, GCF of Fractions is 1/51460.Finally, GCF of Fractions for 657/20, 914/62, 894/332 is 1/51460.