Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/14,78/13,784/421
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 77,78,784
Greatest Common Factor of Numerators i.e. GCF of 77,78,784 is 1 .
LCM of Denominators means LCM of 14,13,421 as per the given fractions.
LCM of 14,13,421 is 76622 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,78,784
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 77,78,784 . The biggest common factor number is the GCF number.
So the greatest common factor 77,78,784 is 1.
Lets's calculate LCM of 14,13,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 76622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76622
Therefore, the GCF of Fractions 77/14,78/13,784/421 is 1/76622
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 14,13,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,13,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,13,421) x common factors =1 x 1 = 1
LCM(14,13,421) = ( 14 × 13 × 421 ) / 1
LCM(14,13,421) = 76622 / 1
LCM(14,13,421) = 76622
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 77/14, 78/13, 784/421?
Answer: GCF of Numerators as per given numbers 77/14, 78/13, 784/421 is
GCF of Numerators i.e. for 77,78,784 is 1
LCM of denominators i.e. for 14,13,421 is 76622.
Thus, GCF of Fractions is 1/76622.Finally, GCF of Fractions for 77/14, 78/13, 784/421 is 1/76622.