Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/98,36/62,436/560
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 38,36,436
Greatest Common Factor of Numerators i.e. GCF of 38,36,436 is 2 .
LCM of Denominators means LCM of 98,62,560 as per the given fractions.
LCM of 98,62,560 is 121520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,36,436
2 | 38, 36, 436 |
19, 18, 218 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 38,36,436 . The biggest common factor number is the GCF number.
So the greatest common factor 38,36,436 is 2.
Lets's calculate LCM of 98,62,560
2 | 98, 62, 560 |
7 | 49, 31, 280 |
7, 31, 40 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 31 x 40 = 121520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121520
Therefore, the GCF of Fractions 38/98,36/62,436/560 is 2/121520
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 98,62,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,62,560) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(98,62,560) x common factors =2 x 14 = 28
LCM(98,62,560) = ( 98 × 62 × 560 ) / 28
LCM(98,62,560) = 3402560 / 28
LCM(98,62,560) = 121520
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 38/98, 36/62, 436/560?
Answer: GCF of Numerators as per given numbers 38/98, 36/62, 436/560 is
GCF of Numerators i.e. for 38,36,436 is 2
LCM of denominators i.e. for 98,62,560 is 121520.
Thus, GCF of Fractions is 2/121520.Finally, GCF of Fractions for 38/98, 36/62, 436/560 is 2/121520.