Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/560,3074/777
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 962,3074
Greatest Common Factor of Numerators i.e. GCF of 962,3074 is 2 .
LCM of Denominators means LCM of 560,777 as per the given fractions.
LCM of 560,777 is 62160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,3074
2 | 962, 3074 |
481, 1537 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 3074
List of positive integer factors of 3074 that divides 3074 without a remainder.
1,2,29,53,58,106,1537,3074
Greatest Common Factor
We found the factors 962,3074 . The biggest common factor number is the GCF number.
So the greatest common factor 962,3074 is 2.
Lets's calculate LCM of 560,777
7 | 560, 777 |
80, 111 |
∴ So the LCM of the given numbers is 7 x 80 x 111 = 62160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62160
Therefore, the GCF of Fractions 962/560,3074/777 is 2/62160
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 560,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,777) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(560,777) x common factors =7 x 1 = 7
LCM(560,777) = ( 560 × 777 ) / 7
LCM(560,777) = 435120 / 7
LCM(560,777) = 62160
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 962/560, 3074/777?
Answer: GCF of Numerators as per given numbers 962/560, 3074/777 is
GCF of Numerators i.e. for 962,3074 is 2
LCM of denominators i.e. for 560,777 is 62160.
Thus, GCF of Fractions is 2/62160.Finally, GCF of Fractions for 962/560, 3074/777 is 2/62160.