Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/32,283/49,544/378
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 754,283,544
Greatest Common Factor of Numerators i.e. GCF of 754,283,544 is 1 .
LCM of Denominators means LCM of 32,49,378 as per the given fractions.
LCM of 32,49,378 is 42336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 754,283,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 754,283,544 . The biggest common factor number is the GCF number.
So the greatest common factor 754,283,544 is 1.
Lets's calculate LCM of 32,49,378
2 | 32, 49, 378 |
7 | 16, 49, 189 |
16, 7, 27 |
∴ So the LCM of the given numbers is 2 x 7 x 16 x 7 x 27 = 42336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42336
Therefore, the GCF of Fractions 754/32,283/49,544/378 is 1/42336
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 32,49,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,49,378) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(32,49,378) x common factors =1 x 14 = 14
LCM(32,49,378) = ( 32 × 49 × 378 ) / 14
LCM(32,49,378) = 592704 / 14
LCM(32,49,378) = 42336
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 754/32, 283/49, 544/378?
Answer: GCF of Numerators as per given numbers 754/32, 283/49, 544/378 is
GCF of Numerators i.e. for 754,283,544 is 1
LCM of denominators i.e. for 32,49,378 is 42336.
Thus, GCF of Fractions is 1/42336.Finally, GCF of Fractions for 754/32, 283/49, 544/378 is 1/42336.