Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 598/437,3276/294
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 598,3276
Greatest Common Factor of Numerators i.e. GCF of 598,3276 is 26 .
LCM of Denominators means LCM of 437,294 as per the given fractions.
LCM of 437,294 is 128478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 598,3276
2 | 598, 3276 |
13 | 299, 1638 |
23, 126 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 3276
List of positive integer factors of 3276 that divides 3276 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276
Greatest Common Factor
We found the factors 598,3276 . The biggest common factor number is the GCF number.
So the greatest common factor 598,3276 is 26.
Lets's calculate LCM of 437,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 128478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/128478
Therefore, the GCF of Fractions 598/437,3276/294 is 26/128478
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 437,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,294) x common factors =1 x 1 = 1
LCM(437,294) = ( 437 × 294 ) / 1
LCM(437,294) = 128478 / 1
LCM(437,294) = 128478
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 598/437, 3276/294?
Answer: GCF of Numerators as per given numbers 598/437, 3276/294 is
GCF of Numerators i.e. for 598,3276 is 26
LCM of denominators i.e. for 437,294 is 128478.
Thus, GCF of Fractions is 26/128478.Finally, GCF of Fractions for 598/437, 3276/294 is 26/128478.