Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 630/565,4256/6072
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 630,4256
Greatest Common Factor of Numerators i.e. GCF of 630,4256 is 14 .
LCM of Denominators means LCM of 565,6072 as per the given fractions.
LCM of 565,6072 is 3430680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 630,4256
2 | 630, 4256 |
7 | 315, 2128 |
45, 304 |
∴ So the GCF of the given numbers is 2 x 7 = 14
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 4256
List of positive integer factors of 4256 that divides 4256 without a remainder.
1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Greatest Common Factor
We found the factors 630,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 630,4256 is 14.
Lets's calculate LCM of 565,6072
Given numbers has no common factors except 1. So, there LCM is their product i.e 3430680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3430680
Therefore, the GCF of Fractions 630/565,4256/6072 is 14/3430680
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 565,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,6072) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,6072) x common factors =1 x 1 = 1
LCM(565,6072) = ( 565 × 6072 ) / 1
LCM(565,6072) = 3430680 / 1
LCM(565,6072) = 3430680
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 630/565, 4256/6072?
Answer: GCF of Numerators as per given numbers 630/565, 4256/6072 is
GCF of Numerators i.e. for 630,4256 is 14
LCM of denominators i.e. for 565,6072 is 3430680.
Thus, GCF of Fractions is 14/3430680.Finally, GCF of Fractions for 630/565, 4256/6072 is 14/3430680.