Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/79,2512/623
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 630,2512
Greatest Common Factor of Numerators i.e. GCF of 630,2512 is 2 .
LCM of Denominators means LCM of 79,623 as per the given fractions.
LCM of 79,623 is 49217 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,2512
2 | 630, 2512 |
315, 1256 |
∴ So the GCF of the given numbers is 2 = 2
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
Factors of 2512
List of positive integer factors of 2512 that divides 2512 without a remainder.
1,2,4,8,16,157,314,628,1256,2512
Greatest Common Factor
We found the factors 630,2512 . The biggest common factor number is the GCF number.
So the greatest common factor 630,2512 is 2.
Lets's calculate LCM of 79,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 49217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49217
Therefore, the GCF of Fractions 630/79,2512/623 is 2/49217
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 79,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,623) x common factors =1 x 1 = 1
LCM(79,623) = ( 79 × 623 ) / 1
LCM(79,623) = 49217 / 1
LCM(79,623) = 49217
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 630/79, 2512/623?
Answer: GCF of Numerators as per given numbers 630/79, 2512/623 is
GCF of Numerators i.e. for 630,2512 is 2
LCM of denominators i.e. for 79,623 is 49217.
Thus, GCF of Fractions is 2/49217.Finally, GCF of Fractions for 630/79, 2512/623 is 2/49217.