Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/472,7387/951
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 876,7387
Greatest Common Factor of Numerators i.e. GCF of 876,7387 is 1 .
LCM of Denominators means LCM of 472,951 as per the given fractions.
LCM of 472,951 is 448872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 876,7387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 7387
List of positive integer factors of 7387 that divides 7387 without a remainder.
1,83,89,7387
Greatest Common Factor
We found the factors 876,7387 . The biggest common factor number is the GCF number.
So the greatest common factor 876,7387 is 1.
Lets's calculate LCM of 472,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 448872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448872
Therefore, the GCF of Fractions 876/472,7387/951 is 1/448872
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 472,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,951) x common factors =1 x 1 = 1
LCM(472,951) = ( 472 × 951 ) / 1
LCM(472,951) = 448872 / 1
LCM(472,951) = 448872
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 876/472, 7387/951?
Answer: GCF of Numerators as per given numbers 876/472, 7387/951 is
GCF of Numerators i.e. for 876,7387 is 1
LCM of denominators i.e. for 472,951 is 448872.
Thus, GCF of Fractions is 1/448872.Finally, GCF of Fractions for 876/472, 7387/951 is 1/448872.