Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7953/672,8823/659
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 7953,8823
Greatest Common Factor of Numerators i.e. GCF of 7953,8823 is 3 .
LCM of Denominators means LCM of 672,659 as per the given fractions.
LCM of 672,659 is 442848 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7953,8823
3 | 7953, 8823 |
2651, 2941 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1,3,11,33,241,723,2651,7953
Factors of 8823
List of positive integer factors of 8823 that divides 8823 without a remainder.
1,3,17,51,173,519,2941,8823
Greatest Common Factor
We found the factors 7953,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 7953,8823 is 3.
Lets's calculate LCM of 672,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 442848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/442848
Therefore, the GCF of Fractions 7953/672,8823/659 is 3/442848
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 672,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(672,659) x common factors =1 x 1 = 1
LCM(672,659) = ( 672 × 659 ) / 1
LCM(672,659) = 442848 / 1
LCM(672,659) = 442848
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 7953/672, 8823/659?
Answer: GCF of Numerators as per given numbers 7953/672, 8823/659 is
GCF of Numerators i.e. for 7953,8823 is 3
LCM of denominators i.e. for 672,659 is 442848.
Thus, GCF of Fractions is 3/442848.Finally, GCF of Fractions for 7953/672, 8823/659 is 3/442848.