Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/96,786/42,882/784
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 375,786,882
Greatest Common Factor of Numerators i.e. GCF of 375,786,882 is 3 .
LCM of Denominators means LCM of 96,42,784 as per the given fractions.
LCM of 96,42,784 is 4704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 375,786,882
3 | 375, 786, 882 |
125, 262, 294 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 375,786,882 . The biggest common factor number is the GCF number.
So the greatest common factor 375,786,882 is 3.
Lets's calculate LCM of 96,42,784
2 | 96, 42, 784 |
2 | 48, 21, 392 |
2 | 24, 21, 196 |
2 | 12, 21, 98 |
3 | 6, 21, 49 |
7 | 2, 7, 49 |
2, 1, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 1 x 7 = 4704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4704
Therefore, the GCF of Fractions 375/96,786/42,882/784 is 3/4704
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 96,42,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,42,784) = 2
common factors(in case of two or more numbers have common factors) = 336
GCF(96,42,784) x common factors =2 x 336 = 672
LCM(96,42,784) = ( 96 × 42 × 784 ) / 672
LCM(96,42,784) = 3161088 / 672
LCM(96,42,784) = 4704
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 375/96, 786/42, 882/784?
Answer: GCF of Numerators as per given numbers 375/96, 786/42, 882/784 is
GCF of Numerators i.e. for 375,786,882 is 3
LCM of denominators i.e. for 96,42,784 is 4704.
Thus, GCF of Fractions is 3/4704.Finally, GCF of Fractions for 375/96, 786/42, 882/784 is 3/4704.