Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 749/75,890/28,294/252
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 749,890,294
Greatest Common Factor of Numerators i.e. GCF of 749,890,294 is 1 .
LCM of Denominators means LCM of 75,28,252 as per the given fractions.
LCM of 75,28,252 is 6300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 749,890,294
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 749,890,294 . The biggest common factor number is the GCF number.
So the greatest common factor 749,890,294 is 1.
Lets's calculate LCM of 75,28,252
2 | 75, 28, 252 |
2 | 75, 14, 126 |
3 | 75, 7, 63 |
7 | 25, 7, 21 |
25, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 25 x 1 x 3 = 6300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6300
Therefore, the GCF of Fractions 749/75,890/28,294/252 is 1/6300
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 75,28,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,28,252) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(75,28,252) x common factors =1 x 84 = 84
LCM(75,28,252) = ( 75 × 28 × 252 ) / 84
LCM(75,28,252) = 529200 / 84
LCM(75,28,252) = 6300
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 749/75, 890/28, 294/252?
Answer: GCF of Numerators as per given numbers 749/75, 890/28, 294/252 is
GCF of Numerators i.e. for 749,890,294 is 1
LCM of denominators i.e. for 75,28,252 is 6300.
Thus, GCF of Fractions is 1/6300.Finally, GCF of Fractions for 749/75, 890/28, 294/252 is 1/6300.