Use our free GCF of Fractions Calculator tool to compute the GCF of 874/340, 920/669 i.e 46/227460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/340, 920/669.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/340,920/669
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 874/340,920/669, numerators are 874,920
Denominators are 340,669
The GCF of 874,920 is 46 .
LCM of 340,669 is 227460.
The greatest common factor of 874/340,920/669 = [GCF of 874,920]/[LCM of 340,669]= 46/227460
Therefore, the GCF of 874/340,920/669 is 46/227460.
To find the highest common factor of 874,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 874,920 is 46.
Lets's calculate GCF of 874,920
2 | 874, 920 |
23 | 437, 460 |
19, 20 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 874,920 . The biggest common factor number is the GCF number.
So the greatest common factor 874,920 is 46.
Lets's calculate LCM of 340,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 227460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/227460
Therefore, the GCF of Fractions 874/340,920/669 is 46/227460
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 340,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,669) x common factors =1 x 1 = 1
LCM(340,669) = ( 340 × 669 ) / 1
LCM(340,669) = 227460 / 1
LCM(340,669) = 227460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 874,920?
The HCF of 874,920 is 46
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 874/340, 920/669?
Answer: GCF of Numerators as per given numbers 874/340, 920/669 is
GCF of Numerators i.e. for 874,920 is 46
LCM of denominators i.e. for 340,669 is 227460.
Thus, GCF of Fractions is 46/227460.Finally, GCF of Fractions for 874/340, 920/669 is 46/227460.