Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/159,371/836,770/178
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 63,371,770
Greatest Common Factor of Numerators i.e. GCF of 63,371,770 is 7 .
LCM of Denominators means LCM of 159,836,178 as per the given fractions.
LCM of 159,836,178 is 11830236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,371,770
7 | 63, 371, 770 |
9, 53, 110 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 63,371,770 . The biggest common factor number is the GCF number.
So the greatest common factor 63,371,770 is 7.
Lets's calculate LCM of 159,836,178
2 | 159, 836, 178 |
159, 418, 89 |
∴ So the LCM of the given numbers is 2 x 159 x 418 x 89 = 11830236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11830236
Therefore, the GCF of Fractions 63/159,371/836,770/178 is 7/11830236
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 159,836,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,836,178) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(159,836,178) x common factors =1 x 2 = 2
LCM(159,836,178) = ( 159 × 836 × 178 ) / 2
LCM(159,836,178) = 23660472 / 2
LCM(159,836,178) = 11830236
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 63/159, 371/836, 770/178?
Answer: GCF of Numerators as per given numbers 63/159, 371/836, 770/178 is
GCF of Numerators i.e. for 63,371,770 is 7
LCM of denominators i.e. for 159,836,178 is 11830236.
Thus, GCF of Fractions is 7/11830236.Finally, GCF of Fractions for 63/159, 371/836, 770/178 is 7/11830236.