Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 224/195,8442/542
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 224,8442
Greatest Common Factor of Numerators i.e. GCF of 224,8442 is 14 .
LCM of Denominators means LCM of 195,542 as per the given fractions.
LCM of 195,542 is 105690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 224,8442
2 | 224, 8442 |
7 | 112, 4221 |
16, 603 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 8442
List of positive integer factors of 8442 that divides 8442 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Greatest Common Factor
We found the factors 224,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 224,8442 is 14.
Lets's calculate LCM of 195,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 105690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/105690
Therefore, the GCF of Fractions 224/195,8442/542 is 14/105690
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 195,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(195,542) x common factors =1 x 1 = 1
LCM(195,542) = ( 195 × 542 ) / 1
LCM(195,542) = 105690 / 1
LCM(195,542) = 105690
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 224/195, 8442/542?
Answer: GCF of Numerators as per given numbers 224/195, 8442/542 is
GCF of Numerators i.e. for 224,8442 is 14
LCM of denominators i.e. for 195,542 is 105690.
Thus, GCF of Fractions is 14/105690.Finally, GCF of Fractions for 224/195, 8442/542 is 14/105690.