Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/736,4152/2139
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 955,4152
Greatest Common Factor of Numerators i.e. GCF of 955,4152 is 1 .
LCM of Denominators means LCM of 736,2139 as per the given fractions.
LCM of 736,2139 is 68448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,4152
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 4152
List of positive integer factors of 4152 that divides 4152 without a remainder.
1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Greatest Common Factor
We found the factors 955,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 955,4152 is 1.
Lets's calculate LCM of 736,2139
23 | 736, 2139 |
32, 93 |
∴ So the LCM of the given numbers is 23 x 32 x 93 = 68448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68448
Therefore, the GCF of Fractions 955/736,4152/2139 is 1/68448
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 736,2139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,2139) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(736,2139) x common factors =23 x 1 = 23
LCM(736,2139) = ( 736 × 2139 ) / 23
LCM(736,2139) = 1574304 / 23
LCM(736,2139) = 68448
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 955/736, 4152/2139?
Answer: GCF of Numerators as per given numbers 955/736, 4152/2139 is
GCF of Numerators i.e. for 955,4152 is 1
LCM of denominators i.e. for 736,2139 is 68448.
Thus, GCF of Fractions is 1/68448.Finally, GCF of Fractions for 955/736, 4152/2139 is 1/68448.