Use our free GCF of Fractions Calculator tool to compute the GCF of 207/920, 883/318 i.e 1/146280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 207/920, 883/318.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/920,883/318
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 207/920,883/318, numerators are 207,883
Denominators are 920,318
The GCF of 207,883 is 1 .
LCM of 920,318 is 146280.
The greatest common factor of 207/920,883/318 = [GCF of 207,883]/[LCM of 920,318]= 1/146280
Therefore, the GCF of 207/920,883/318 is 1/146280.
To find the highest common factor of 207,883, we have to find the factors of both numbers and list the highest common factor.
The factors of 207 are 1, 3, 9, 23, 69, 207
The factors of 883 are 1, 883
The HCF of 207,883 is 1.
Lets's calculate GCF of 207,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 207
:1,3,9,23,69,207
Now, list down the factors of 883
:1,883
Greatest Common Factor
We found the factors 207,883 . The biggest common factor number is the GCF number.
So the greatest common factor 207,883 is 1.
Lets's calculate LCM of 920,318
2 | 920, 318 |
460, 159 |
∴ So the LCM of the given numbers is 2 x 460 x 159 = 146280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146280
Therefore, the GCF of Fractions 207/920,883/318 is 1/146280
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 920,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(920,318) x common factors =2 x 1 = 2
LCM(920,318) = ( 920 × 318 ) / 2
LCM(920,318) = 292560 / 2
LCM(920,318) = 146280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 207,883?
The HCF of 207,883 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 207/920, 883/318?
Answer: GCF of Numerators as per given numbers 207/920, 883/318 is
GCF of Numerators i.e. for 207,883 is 1
LCM of denominators i.e. for 920,318 is 146280.
Thus, GCF of Fractions is 1/146280.Finally, GCF of Fractions for 207/920, 883/318 is 1/146280.