Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7889/931,7410/7974
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 7889,7410
Greatest Common Factor of Numerators i.e. GCF of 7889,7410 is 1 .
LCM of Denominators means LCM of 931,7974 as per the given fractions.
LCM of 931,7974 is 7423794 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7889,7410
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7889
List of positive integer factors of 7889 that divides 7889 without a remainder.
1,7,23,49,161,343,1127,7889
Factors of 7410
List of positive integer factors of 7410 that divides 7410 without a remainder.
1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 7889,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 7889,7410 is 1.
Lets's calculate LCM of 931,7974
Given numbers has no common factors except 1. So, there LCM is their product i.e 7423794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7423794
Therefore, the GCF of Fractions 7889/931,7410/7974 is 1/7423794
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 931,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,7974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,7974) x common factors =1 x 1 = 1
LCM(931,7974) = ( 931 × 7974 ) / 1
LCM(931,7974) = 7423794 / 1
LCM(931,7974) = 7423794
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 7889/931, 7410/7974?
Answer: GCF of Numerators as per given numbers 7889/931, 7410/7974 is
GCF of Numerators i.e. for 7889,7410 is 1
LCM of denominators i.e. for 931,7974 is 7423794.
Thus, GCF of Fractions is 1/7423794.Finally, GCF of Fractions for 7889/931, 7410/7974 is 1/7423794.