Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 517/624,207/112,279/595
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 517,207,279
Greatest Common Factor of Numerators i.e. GCF of 517,207,279 is 1 .
LCM of Denominators means LCM of 624,112,595 as per the given fractions.
LCM of 624,112,595 is 371280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 517,207,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 517,207,279 . The biggest common factor number is the GCF number.
So the greatest common factor 517,207,279 is 1.
Lets's calculate LCM of 624,112,595
2 | 624, 112, 595 |
2 | 312, 56, 595 |
2 | 156, 28, 595 |
2 | 78, 14, 595 |
7 | 39, 7, 595 |
39, 1, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 39 x 1 x 85 = 371280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371280
Therefore, the GCF of Fractions 517/624,207/112,279/595 is 1/371280
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 624,112,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,112,595) = 1
common factors(in case of two or more numbers have common factors) = 112
GCF(624,112,595) x common factors =1 x 112 = 112
LCM(624,112,595) = ( 624 × 112 × 595 ) / 112
LCM(624,112,595) = 41583360 / 112
LCM(624,112,595) = 371280
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 517/624, 207/112, 279/595?
Answer: GCF of Numerators as per given numbers 517/624, 207/112, 279/595 is
GCF of Numerators i.e. for 517,207,279 is 1
LCM of denominators i.e. for 624,112,595 is 371280.
Thus, GCF of Fractions is 1/371280.Finally, GCF of Fractions for 517/624, 207/112, 279/595 is 1/371280.