Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6940/79,7560/762
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 6940,7560
Greatest Common Factor of Numerators i.e. GCF of 6940,7560 is 20 .
LCM of Denominators means LCM of 79,762 as per the given fractions.
LCM of 79,762 is 60198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6940,7560
2 | 6940, 7560 |
2 | 3470, 3780 |
5 | 1735, 1890 |
347, 378 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 6940
List of positive integer factors of 6940 that divides 6940 without a remainder.
1,2,4,5,10,20,347,694,1388,1735,3470,6940
Factors of 7560
List of positive integer factors of 7560 that divides 7560 without a remainder.
1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560
Greatest Common Factor
We found the factors 6940,7560 . The biggest common factor number is the GCF number.
So the greatest common factor 6940,7560 is 20.
Lets's calculate LCM of 79,762
Given numbers has no common factors except 1. So, there LCM is their product i.e 60198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/60198
Therefore, the GCF of Fractions 6940/79,7560/762 is 20/60198
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 79,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,762) x common factors =1 x 1 = 1
LCM(79,762) = ( 79 × 762 ) / 1
LCM(79,762) = 60198 / 1
LCM(79,762) = 60198
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 6940/79, 7560/762?
Answer: GCF of Numerators as per given numbers 6940/79, 7560/762 is
GCF of Numerators i.e. for 6940,7560 is 20
LCM of denominators i.e. for 79,762 is 60198.
Thus, GCF of Fractions is 20/60198.Finally, GCF of Fractions for 6940/79, 7560/762 is 20/60198.