Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 632/546,6680/633
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 632,6680
Greatest Common Factor of Numerators i.e. GCF of 632,6680 is 8 .
LCM of Denominators means LCM of 546,633 as per the given fractions.
LCM of 546,633 is 115206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 632,6680
2 | 632, 6680 |
2 | 316, 3340 |
2 | 158, 1670 |
79, 835 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 6680
List of positive integer factors of 6680 that divides 6680 without a remainder.
1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Greatest Common Factor
We found the factors 632,6680 . The biggest common factor number is the GCF number.
So the greatest common factor 632,6680 is 8.
Lets's calculate LCM of 546,633
3 | 546, 633 |
182, 211 |
∴ So the LCM of the given numbers is 3 x 182 x 211 = 115206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/115206
Therefore, the GCF of Fractions 632/546,6680/633 is 8/115206
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 546,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,633) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(546,633) x common factors =3 x 1 = 3
LCM(546,633) = ( 546 × 633 ) / 3
LCM(546,633) = 345618 / 3
LCM(546,633) = 115206
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 632/546, 6680/633?
Answer: GCF of Numerators as per given numbers 632/546, 6680/633 is
GCF of Numerators i.e. for 632,6680 is 8
LCM of denominators i.e. for 546,633 is 115206.
Thus, GCF of Fractions is 8/115206.Finally, GCF of Fractions for 632/546, 6680/633 is 8/115206.