Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/698,6532/326
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 920,6532
Greatest Common Factor of Numerators i.e. GCF of 920,6532 is 92 .
LCM of Denominators means LCM of 698,326 as per the given fractions.
LCM of 698,326 is 113774 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,6532
2 | 920, 6532 |
2 | 460, 3266 |
23 | 230, 1633 |
10, 71 |
∴ So the GCF of the given numbers is 2 x 2 x 23 = 92
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 6532
List of positive integer factors of 6532 that divides 6532 without a remainder.
1,2,4,23,46,71,92,142,284,1633,3266,6532
Greatest Common Factor
We found the factors 920,6532 . The biggest common factor number is the GCF number.
So the greatest common factor 920,6532 is 92.
Lets's calculate LCM of 698,326
2 | 698, 326 |
349, 163 |
∴ So the LCM of the given numbers is 2 x 349 x 163 = 113774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/113774
Therefore, the GCF of Fractions 920/698,6532/326 is 92/113774
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 698,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,326) x common factors =2 x 1 = 2
LCM(698,326) = ( 698 × 326 ) / 2
LCM(698,326) = 227548 / 2
LCM(698,326) = 113774
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 920/698, 6532/326?
Answer: GCF of Numerators as per given numbers 920/698, 6532/326 is
GCF of Numerators i.e. for 920,6532 is 92
LCM of denominators i.e. for 698,326 is 113774.
Thus, GCF of Fractions is 92/113774.Finally, GCF of Fractions for 920/698, 6532/326 is 92/113774.