Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 512/170,7332/870
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 512,7332
Greatest Common Factor of Numerators i.e. GCF of 512,7332 is 4 .
LCM of Denominators means LCM of 170,870 as per the given fractions.
LCM of 170,870 is 14790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 512,7332
2 | 512, 7332 |
2 | 256, 3666 |
128, 1833 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 7332
List of positive integer factors of 7332 that divides 7332 without a remainder.
1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332
Greatest Common Factor
We found the factors 512,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 512,7332 is 4.
Lets's calculate LCM of 170,870
2 | 170, 870 |
5 | 85, 435 |
17, 87 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 87 = 14790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14790
Therefore, the GCF of Fractions 512/170,7332/870 is 4/14790
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 170,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,870) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(170,870) x common factors =10 x 1 = 10
LCM(170,870) = ( 170 × 870 ) / 10
LCM(170,870) = 147900 / 10
LCM(170,870) = 14790
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 512/170, 7332/870?
Answer: GCF of Numerators as per given numbers 512/170, 7332/870 is
GCF of Numerators i.e. for 512,7332 is 4
LCM of denominators i.e. for 170,870 is 14790.
Thus, GCF of Fractions is 4/14790.Finally, GCF of Fractions for 512/170, 7332/870 is 4/14790.