Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/15,6976/233
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 692,6976
Greatest Common Factor of Numerators i.e. GCF of 692,6976 is 4 .
LCM of Denominators means LCM of 15,233 as per the given fractions.
LCM of 15,233 is 3495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 692,6976
2 | 692, 6976 |
2 | 346, 3488 |
173, 1744 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 6976
List of positive integer factors of 6976 that divides 6976 without a remainder.
1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976
Greatest Common Factor
We found the factors 692,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 692,6976 is 4.
Lets's calculate LCM of 15,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 3495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3495
Therefore, the GCF of Fractions 692/15,6976/233 is 4/3495
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 15,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,233) x common factors =1 x 1 = 1
LCM(15,233) = ( 15 × 233 ) / 1
LCM(15,233) = 3495 / 1
LCM(15,233) = 3495
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 692/15, 6976/233?
Answer: GCF of Numerators as per given numbers 692/15, 6976/233 is
GCF of Numerators i.e. for 692,6976 is 4
LCM of denominators i.e. for 15,233 is 3495.
Thus, GCF of Fractions is 4/3495.Finally, GCF of Fractions for 692/15, 6976/233 is 4/3495.