Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/29,456/53,260/21
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 874,456,260
Greatest Common Factor of Numerators i.e. GCF of 874,456,260 is 2 .
LCM of Denominators means LCM of 29,53,21 as per the given fractions.
LCM of 29,53,21 is 32277 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 874,456,260
2 | 874, 456, 260 |
437, 228, 130 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 874,456,260 . The biggest common factor number is the GCF number.
So the greatest common factor 874,456,260 is 2.
Lets's calculate LCM of 29,53,21
Given numbers has no common factors except 1. So, there LCM is their product i.e 32277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32277
Therefore, the GCF of Fractions 874/29,456/53,260/21 is 2/32277
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 29,53,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,53,21) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,53,21) x common factors =1 x 1 = 1
LCM(29,53,21) = ( 29 × 53 × 21 ) / 1
LCM(29,53,21) = 32277 / 1
LCM(29,53,21) = 32277
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 874/29, 456/53, 260/21?
Answer: GCF of Numerators as per given numbers 874/29, 456/53, 260/21 is
GCF of Numerators i.e. for 874,456,260 is 2
LCM of denominators i.e. for 29,53,21 is 32277.
Thus, GCF of Fractions is 2/32277.Finally, GCF of Fractions for 874/29, 456/53, 260/21 is 2/32277.