Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 706/36,848/56,750/442
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 706,848,750
Greatest Common Factor of Numerators i.e. GCF of 706,848,750 is 2 .
LCM of Denominators means LCM of 36,56,442 as per the given fractions.
LCM of 36,56,442 is 111384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 706,848,750
2 | 706, 848, 750 |
353, 424, 375 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 706,848,750 . The biggest common factor number is the GCF number.
So the greatest common factor 706,848,750 is 2.
Lets's calculate LCM of 36,56,442
2 | 36, 56, 442 |
2 | 18, 28, 221 |
9, 14, 221 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 14 x 221 = 111384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111384
Therefore, the GCF of Fractions 706/36,848/56,750/442 is 2/111384
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 36,56,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,56,442) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(36,56,442) x common factors =2 x 4 = 8
LCM(36,56,442) = ( 36 × 56 × 442 ) / 8
LCM(36,56,442) = 891072 / 8
LCM(36,56,442) = 111384
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 706/36, 848/56, 750/442?
Answer: GCF of Numerators as per given numbers 706/36, 848/56, 750/442 is
GCF of Numerators i.e. for 706,848,750 is 2
LCM of denominators i.e. for 36,56,442 is 111384.
Thus, GCF of Fractions is 2/111384.Finally, GCF of Fractions for 706/36, 848/56, 750/442 is 2/111384.