Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/21,64/17,56/783,786/553
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 3,64,56,786
Greatest Common Factor of Numerators i.e. GCF of 3,64,56,786 is 1 .
LCM of Denominators means LCM of 21,17,783,553 as per the given fractions.
LCM of 21,17,783,553 is 7360983 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,64,56,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
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 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 3,64,56,786 . The biggest common factor number is the GCF number.
So the greatest common factor 3,64,56,786 is 1.
Lets's calculate LCM of 21,17,783,553
3 | 21, 17, 783, 553 |
7 | 7, 17, 261, 553 |
1, 17, 261, 79 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 17 x 261 x 79 = 7360983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7360983
Therefore, the GCF of Fractions 3/21,64/17,56/783,786/553 is 1/7360983
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 21,17,783,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,17,783,553) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(21,17,783,553) x common factors =1 x 21 = 21
LCM(21,17,783,553) = ( 21 × 17 × 783 × 553 ) / 21
LCM(21,17,783,553) = 154580643 / 21
LCM(21,17,783,553) = 7360983
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 3/21, 64/17, 56/783, 786/553?
Answer: GCF of Numerators as per given numbers 3/21, 64/17, 56/783, 786/553 is
GCF of Numerators i.e. for 3,64,56,786 is 1
LCM of denominators i.e. for 21,17,783,553 is 7360983.
Thus, GCF of Fractions is 1/7360983.Finally, GCF of Fractions for 3/21, 64/17, 56/783, 786/553 is 1/7360983.