Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7120/47,5785/563
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 7120,5785
Greatest Common Factor of Numerators i.e. GCF of 7120,5785 is 445 .
LCM of Denominators means LCM of 47,563 as per the given fractions.
LCM of 47,563 is 26461 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7120,5785
5 | 7120, 5785 |
89 | 1424, 1157 |
16, 13 |
∴ So the GCF of the given numbers is 5 x 89 = 445
Factors of 7120
List of positive integer factors of 7120 that divides 7120 without a remainder.
1,2,4,5,8,10,16,20,40,80,89,178,356,445,712,890,1424,1780,3560,7120
Factors of 5785
List of positive integer factors of 5785 that divides 5785 without a remainder.
1,5,13,65,89,445,1157,5785
Greatest Common Factor
We found the factors 7120,5785 . The biggest common factor number is the GCF number.
So the greatest common factor 7120,5785 is 445.
Lets's calculate LCM of 47,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 26461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 445/26461
Therefore, the GCF of Fractions 7120/47,5785/563 is 445/26461
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 47,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,563) x common factors =1 x 1 = 1
LCM(47,563) = ( 47 × 563 ) / 1
LCM(47,563) = 26461 / 1
LCM(47,563) = 26461
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 7120/47, 5785/563?
Answer: GCF of Numerators as per given numbers 7120/47, 5785/563 is
GCF of Numerators i.e. for 7120,5785 is 445
LCM of denominators i.e. for 47,563 is 26461.
Thus, GCF of Fractions is 445/26461.Finally, GCF of Fractions for 7120/47, 5785/563 is 445/26461.