Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2156/914,4958/4727
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 2156,4958
Greatest Common Factor of Numerators i.e. GCF of 2156,4958 is 2 .
LCM of Denominators means LCM of 914,4727 as per the given fractions.
LCM of 914,4727 is 4320478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2156,4958
2 | 2156, 4958 |
1078, 2479 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2156
List of positive integer factors of 2156 that divides 2156 without a remainder.
1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Factors of 4958
List of positive integer factors of 4958 that divides 4958 without a remainder.
1,2,37,67,74,134,2479,4958
Greatest Common Factor
We found the factors 2156,4958 . The biggest common factor number is the GCF number.
So the greatest common factor 2156,4958 is 2.
Lets's calculate LCM of 914,4727
Given numbers has no common factors except 1. So, there LCM is their product i.e 4320478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4320478
Therefore, the GCF of Fractions 2156/914,4958/4727 is 2/4320478
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 914,4727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,4727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,4727) x common factors =1 x 1 = 1
LCM(914,4727) = ( 914 × 4727 ) / 1
LCM(914,4727) = 4320478 / 1
LCM(914,4727) = 4320478
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 2156/914, 4958/4727?
Answer: GCF of Numerators as per given numbers 2156/914, 4958/4727 is
GCF of Numerators i.e. for 2156,4958 is 2
LCM of denominators i.e. for 914,4727 is 4320478.
Thus, GCF of Fractions is 2/4320478.Finally, GCF of Fractions for 2156/914, 4958/4727 is 2/4320478.