Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/29,954/53,310/733
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 748,954,310
Greatest Common Factor of Numerators i.e. GCF of 748,954,310 is 2 .
LCM of Denominators means LCM of 29,53,733 as per the given fractions.
LCM of 29,53,733 is 1126621 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,954,310
2 | 748, 954, 310 |
374, 477, 155 |
∴ So the GCF of the given numbers is 2 = 2
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 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 748,954,310 . The biggest common factor number is the GCF number.
So the greatest common factor 748,954,310 is 2.
Lets's calculate LCM of 29,53,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 1126621
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1126621
Therefore, the GCF of Fractions 748/29,954/53,310/733 is 2/1126621
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 29,53,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,53,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,53,733) x common factors =1 x 1 = 1
LCM(29,53,733) = ( 29 × 53 × 733 ) / 1
LCM(29,53,733) = 1126621 / 1
LCM(29,53,733) = 1126621
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 748/29, 954/53, 310/733?
Answer: GCF of Numerators as per given numbers 748/29, 954/53, 310/733 is
GCF of Numerators i.e. for 748,954,310 is 2
LCM of denominators i.e. for 29,53,733 is 1126621.
Thus, GCF of Fractions is 2/1126621.Finally, GCF of Fractions for 748/29, 954/53, 310/733 is 2/1126621.