Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 705/308,102/528
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 705,102
Greatest Common Factor of Numerators i.e. GCF of 705,102 is 3 .
LCM of Denominators means LCM of 308,528 as per the given fractions.
LCM of 308,528 is 3696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 705,102
3 | 705, 102 |
235, 34 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 705,102 . The biggest common factor number is the GCF number.
So the greatest common factor 705,102 is 3.
Lets's calculate LCM of 308,528
2 | 308, 528 |
2 | 154, 264 |
11 | 77, 132 |
7, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 12 = 3696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3696
Therefore, the GCF of Fractions 705/308,102/528 is 3/3696
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 308,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,528) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(308,528) x common factors =44 x 1 = 44
LCM(308,528) = ( 308 × 528 ) / 44
LCM(308,528) = 162624 / 44
LCM(308,528) = 3696
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 705/308, 102/528?
Answer: GCF of Numerators as per given numbers 705/308, 102/528 is
GCF of Numerators i.e. for 705,102 is 3
LCM of denominators i.e. for 308,528 is 3696.
Thus, GCF of Fractions is 3/3696.Finally, GCF of Fractions for 705/308, 102/528 is 3/3696.