Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7759/939,9023/1160
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 7759,9023
Greatest Common Factor of Numerators i.e. GCF of 7759,9023 is 1 .
LCM of Denominators means LCM of 939,1160 as per the given fractions.
LCM of 939,1160 is 1089240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7759,9023
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7759
List of positive integer factors of 7759 that divides 7759 without a remainder.
1,7759
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1,7,1289,9023
Greatest Common Factor
We found the factors 7759,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 7759,9023 is 1.
Lets's calculate LCM of 939,1160
Given numbers has no common factors except 1. So, there LCM is their product i.e 1089240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1089240
Therefore, the GCF of Fractions 7759/939,9023/1160 is 1/1089240
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 939,1160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,1160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,1160) x common factors =1 x 1 = 1
LCM(939,1160) = ( 939 × 1160 ) / 1
LCM(939,1160) = 1089240 / 1
LCM(939,1160) = 1089240
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 7759/939, 9023/1160?
Answer: GCF of Numerators as per given numbers 7759/939, 9023/1160 is
GCF of Numerators i.e. for 7759,9023 is 1
LCM of denominators i.e. for 939,1160 is 1089240.
Thus, GCF of Fractions is 1/1089240.Finally, GCF of Fractions for 7759/939, 9023/1160 is 1/1089240.