Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3815/224,7067/7624
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 3815,7067
Greatest Common Factor of Numerators i.e. GCF of 3815,7067 is 1 .
LCM of Denominators means LCM of 224,7624 as per the given fractions.
LCM of 224,7624 is 213472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3815,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3815
List of positive integer factors of 3815 that divides 3815 without a remainder.
1,5,7,35,109,545,763,3815
Factors of 7067
List of positive integer factors of 7067 that divides 7067 without a remainder.
1,37,191,7067
Greatest Common Factor
We found the factors 3815,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 3815,7067 is 1.
Lets's calculate LCM of 224,7624
2 | 224, 7624 |
2 | 112, 3812 |
2 | 56, 1906 |
28, 953 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 28 x 953 = 213472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213472
Therefore, the GCF of Fractions 3815/224,7067/7624 is 1/213472
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 224,7624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,7624) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(224,7624) x common factors =8 x 1 = 8
LCM(224,7624) = ( 224 × 7624 ) / 8
LCM(224,7624) = 1707776 / 8
LCM(224,7624) = 213472
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 3815/224, 7067/7624?
Answer: GCF of Numerators as per given numbers 3815/224, 7067/7624 is
GCF of Numerators i.e. for 3815,7067 is 1
LCM of denominators i.e. for 224,7624 is 213472.
Thus, GCF of Fractions is 1/213472.Finally, GCF of Fractions for 3815/224, 7067/7624 is 1/213472.