Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/901,234/690,776/424
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 364,234,776
Greatest Common Factor of Numerators i.e. GCF of 364,234,776 is 2 .
LCM of Denominators means LCM of 901,690,424 as per the given fractions.
LCM of 901,690,424 is 2486760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 364,234,776
2 | 364, 234, 776 |
182, 117, 388 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 364,234,776 . The biggest common factor number is the GCF number.
So the greatest common factor 364,234,776 is 2.
Lets's calculate LCM of 901,690,424
2 | 901, 690, 424 |
53 | 901, 345, 212 |
17, 345, 4 |
∴ So the LCM of the given numbers is 2 x 53 x 17 x 345 x 4 = 2486760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2486760
Therefore, the GCF of Fractions 364/901,234/690,776/424 is 2/2486760
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 901,690,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,690,424) = 1
common factors(in case of two or more numbers have common factors) = 106
GCF(901,690,424) x common factors =1 x 106 = 106
LCM(901,690,424) = ( 901 × 690 × 424 ) / 106
LCM(901,690,424) = 263596560 / 106
LCM(901,690,424) = 2486760
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 364/901, 234/690, 776/424?
Answer: GCF of Numerators as per given numbers 364/901, 234/690, 776/424 is
GCF of Numerators i.e. for 364,234,776 is 2
LCM of denominators i.e. for 901,690,424 is 2486760.
Thus, GCF of Fractions is 2/2486760.Finally, GCF of Fractions for 364/901, 234/690, 776/424 is 2/2486760.