Use our free GCF of Fractions Calculator tool to compute the GCF of 420/930, 935/748 i.e 5/347820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 420/930, 935/748.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/930,935/748
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 420/930,935/748, numerators are 420,935
Denominators are 930,748
The GCF of 420,935 is 5 .
LCM of 930,748 is 347820.
The greatest common factor of 420/930,935/748 = [GCF of 420,935]/[LCM of 930,748]= 5/347820
Therefore, the GCF of 420/930,935/748 is 5/347820.
To find the highest common factor of 420,935, we have to find the factors of both numbers and list the highest common factor.
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The HCF of 420,935 is 5.
Lets's calculate GCF of 420,935
5 | 420, 935 |
84, 187 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 420,935 . The biggest common factor number is the GCF number.
So the greatest common factor 420,935 is 5.
Lets's calculate LCM of 930,748
2 | 930, 748 |
465, 374 |
∴ So the LCM of the given numbers is 2 x 465 x 374 = 347820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/347820
Therefore, the GCF of Fractions 420/930,935/748 is 5/347820
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 930,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,748) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,748) x common factors =2 x 1 = 2
LCM(930,748) = ( 930 × 748 ) / 2
LCM(930,748) = 695640 / 2
LCM(930,748) = 347820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 420,935?
The HCF of 420,935 is 5
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 420/930, 935/748?
Answer: GCF of Numerators as per given numbers 420/930, 935/748 is
GCF of Numerators i.e. for 420,935 is 5
LCM of denominators i.e. for 930,748 is 347820.
Thus, GCF of Fractions is 5/347820.Finally, GCF of Fractions for 420/930, 935/748 is 5/347820.