Use our free GCF of Fractions Calculator tool to compute the GCF of 492/69, 416/875 i.e 4/60375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/69, 416/875.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/69,416/875
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 492/69,416/875, numerators are 492,416
Denominators are 69,875
The GCF of 492,416 is 4 .
LCM of 69,875 is 60375.
The greatest common factor of 492/69,416/875 = [GCF of 492,416]/[LCM of 69,875]= 4/60375
Therefore, the GCF of 492/69,416/875 is 4/60375.
To find the highest common factor of 492,416, we have to find the factors of both numbers and list the highest common factor.
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The HCF of 492,416 is 4.
Lets's calculate GCF of 492,416
2 | 492, 416 |
2 | 246, 208 |
123, 104 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 492,416 . The biggest common factor number is the GCF number.
So the greatest common factor 492,416 is 4.
Lets's calculate LCM of 69,875
Given numbers has no common factors except 1. So, there LCM is their product i.e 60375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/60375
Therefore, the GCF of Fractions 492/69,416/875 is 4/60375
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 69,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,875) x common factors =1 x 1 = 1
LCM(69,875) = ( 69 × 875 ) / 1
LCM(69,875) = 60375 / 1
LCM(69,875) = 60375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 492,416?
The HCF of 492,416 is 4
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 492/69, 416/875?
Answer: GCF of Numerators as per given numbers 492/69, 416/875 is
GCF of Numerators i.e. for 492,416 is 4
LCM of denominators i.e. for 69,875 is 60375.
Thus, GCF of Fractions is 4/60375.Finally, GCF of Fractions for 492/69, 416/875 is 4/60375.