Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/89,862/71,621/922
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 748,862,621
Greatest Common Factor of Numerators i.e. GCF of 748,862,621 is 1 .
LCM of Denominators means LCM of 89,71,922 as per the given fractions.
LCM of 89,71,922 is 5826118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,862,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 748,862,621 . The biggest common factor number is the GCF number.
So the greatest common factor 748,862,621 is 1.
Lets's calculate LCM of 89,71,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 5826118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5826118
Therefore, the GCF of Fractions 748/89,862/71,621/922 is 1/5826118
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 89,71,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,71,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,71,922) x common factors =1 x 1 = 1
LCM(89,71,922) = ( 89 × 71 × 922 ) / 1
LCM(89,71,922) = 5826118 / 1
LCM(89,71,922) = 5826118
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 748/89, 862/71, 621/922?
Answer: GCF of Numerators as per given numbers 748/89, 862/71, 621/922 is
GCF of Numerators i.e. for 748,862,621 is 1
LCM of denominators i.e. for 89,71,922 is 5826118.
Thus, GCF of Fractions is 1/5826118.Finally, GCF of Fractions for 748/89, 862/71, 621/922 is 1/5826118.