Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 916/85,237/16,757/763
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 916,237,757
Greatest Common Factor of Numerators i.e. GCF of 916,237,757 is 1 .
LCM of Denominators means LCM of 85,16,763 as per the given fractions.
LCM of 85,16,763 is 1037680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 916,237,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 916,237,757 . The biggest common factor number is the GCF number.
So the greatest common factor 916,237,757 is 1.
Lets's calculate LCM of 85,16,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 1037680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037680
Therefore, the GCF of Fractions 916/85,237/16,757/763 is 1/1037680
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 85,16,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,16,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,16,763) x common factors =1 x 1 = 1
LCM(85,16,763) = ( 85 × 16 × 763 ) / 1
LCM(85,16,763) = 1037680 / 1
LCM(85,16,763) = 1037680
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 916/85, 237/16, 757/763?
Answer: GCF of Numerators as per given numbers 916/85, 237/16, 757/763 is
GCF of Numerators i.e. for 916,237,757 is 1
LCM of denominators i.e. for 85,16,763 is 1037680.
Thus, GCF of Fractions is 1/1037680.Finally, GCF of Fractions for 916/85, 237/16, 757/763 is 1/1037680.