Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 692/96,4984/789
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 692,4984
Greatest Common Factor of Numerators i.e. GCF of 692,4984 is 4 .
LCM of Denominators means LCM of 96,789 as per the given fractions.
LCM of 96,789 is 25248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 692,4984
2 | 692, 4984 |
2 | 346, 2492 |
173, 1246 |
∴ 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 4984
List of positive integer factors of 4984 that divides 4984 without a remainder.
1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984
Greatest Common Factor
We found the factors 692,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 692,4984 is 4.
Lets's calculate LCM of 96,789
3 | 96, 789 |
32, 263 |
∴ So the LCM of the given numbers is 3 x 32 x 263 = 25248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25248
Therefore, the GCF of Fractions 692/96,4984/789 is 4/25248
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 96,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(96,789) x common factors =3 x 1 = 3
LCM(96,789) = ( 96 × 789 ) / 3
LCM(96,789) = 75744 / 3
LCM(96,789) = 25248
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 692/96, 4984/789?
Answer: GCF of Numerators as per given numbers 692/96, 4984/789 is
GCF of Numerators i.e. for 692,4984 is 4
LCM of denominators i.e. for 96,789 is 25248.
Thus, GCF of Fractions is 4/25248.Finally, GCF of Fractions for 692/96, 4984/789 is 4/25248.