Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 949/690,674/368,752/922
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 949,674,752
Greatest Common Factor of Numerators i.e. GCF of 949,674,752 is 1 .
LCM of Denominators means LCM of 690,368,922 as per the given fractions.
LCM of 690,368,922 is 2544720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 949,674,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 949,674,752 . The biggest common factor number is the GCF number.
So the greatest common factor 949,674,752 is 1.
Lets's calculate LCM of 690,368,922
2 | 690, 368, 922 |
23 | 345, 184, 461 |
15, 8, 461 |
∴ So the LCM of the given numbers is 2 x 23 x 15 x 8 x 461 = 2544720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2544720
Therefore, the GCF of Fractions 949/690,674/368,752/922 is 1/2544720
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 690,368,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,368,922) = 2
common factors(in case of two or more numbers have common factors) = 46
GCF(690,368,922) x common factors =2 x 46 = 92
LCM(690,368,922) = ( 690 × 368 × 922 ) / 92
LCM(690,368,922) = 234114240 / 92
LCM(690,368,922) = 2544720
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 949/690, 674/368, 752/922?
Answer: GCF of Numerators as per given numbers 949/690, 674/368, 752/922 is
GCF of Numerators i.e. for 949,674,752 is 1
LCM of denominators i.e. for 690,368,922 is 2544720.
Thus, GCF of Fractions is 1/2544720.Finally, GCF of Fractions for 949/690, 674/368, 752/922 is 1/2544720.