Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/262,188/199,630/504
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 61,188,630
Greatest Common Factor of Numerators i.e. GCF of 61,188,630 is 1 .
LCM of Denominators means LCM of 262,199,504 as per the given fractions.
LCM of 262,199,504 is 13138776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,188,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 61,188,630 . The biggest common factor number is the GCF number.
So the greatest common factor 61,188,630 is 1.
Lets's calculate LCM of 262,199,504
2 | 262, 199, 504 |
131, 199, 252 |
∴ So the LCM of the given numbers is 2 x 131 x 199 x 252 = 13138776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13138776
Therefore, the GCF of Fractions 61/262,188/199,630/504 is 1/13138776
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 262,199,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,199,504) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(262,199,504) x common factors =1 x 2 = 2
LCM(262,199,504) = ( 262 × 199 × 504 ) / 2
LCM(262,199,504) = 26277552 / 2
LCM(262,199,504) = 13138776
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 61/262, 188/199, 630/504?
Answer: GCF of Numerators as per given numbers 61/262, 188/199, 630/504 is
GCF of Numerators i.e. for 61,188,630 is 1
LCM of denominators i.e. for 262,199,504 is 13138776.
Thus, GCF of Fractions is 1/13138776.Finally, GCF of Fractions for 61/262, 188/199, 630/504 is 1/13138776.