Use our free GCF of Fractions Calculator tool to compute the GCF of 943/504, 526/938 i.e 1/33768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/504, 526/938.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/504,526/938
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 943/504,526/938, numerators are 943,526
Denominators are 504,938
The GCF of 943,526 is 1 .
LCM of 504,938 is 33768.
The greatest common factor of 943/504,526/938 = [GCF of 943,526]/[LCM of 504,938]= 1/33768
Therefore, the GCF of 943/504,526/938 is 1/33768.
To find the highest common factor of 943,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 943 are 1, 23, 41, 943
The factors of 526 are 1, 2, 263, 526
The HCF of 943,526 is 1.
Lets's calculate GCF of 943,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 943
:1,23,41,943
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 943,526 . The biggest common factor number is the GCF number.
So the greatest common factor 943,526 is 1.
Lets's calculate LCM of 504,938
2 | 504, 938 |
7 | 252, 469 |
36, 67 |
∴ So the LCM of the given numbers is 2 x 7 x 36 x 67 = 33768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33768
Therefore, the GCF of Fractions 943/504,526/938 is 1/33768
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 504,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,938) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(504,938) x common factors =14 x 1 = 14
LCM(504,938) = ( 504 × 938 ) / 14
LCM(504,938) = 472752 / 14
LCM(504,938) = 33768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 943,526?
The HCF of 943,526 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 943/504, 526/938?
Answer: GCF of Numerators as per given numbers 943/504, 526/938 is
GCF of Numerators i.e. for 943,526 is 1
LCM of denominators i.e. for 504,938 is 33768.
Thus, GCF of Fractions is 1/33768.Finally, GCF of Fractions for 943/504, 526/938 is 1/33768.