Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/12,988/103
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 692,988
Greatest Common Factor of Numerators i.e. GCF of 692,988 is 4 .
LCM of Denominators means LCM of 12,103 as per the given fractions.
LCM of 12,103 is 1236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 692,988
2 | 692, 988 |
2 | 346, 494 |
173, 247 |
∴ 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 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 692,988 . The biggest common factor number is the GCF number.
So the greatest common factor 692,988 is 4.
Lets's calculate LCM of 12,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1236
Therefore, the GCF of Fractions 692/12,988/103 is 4/1236
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 12,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,103) x common factors =1 x 1 = 1
LCM(12,103) = ( 12 × 103 ) / 1
LCM(12,103) = 1236 / 1
LCM(12,103) = 1236
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 692/12, 988/103?
Answer: GCF of Numerators as per given numbers 692/12, 988/103 is
GCF of Numerators i.e. for 692,988 is 4
LCM of denominators i.e. for 12,103 is 1236.
Thus, GCF of Fractions is 4/1236.Finally, GCF of Fractions for 692/12, 988/103 is 4/1236.