Use our free GCF of Fractions Calculator tool to compute the GCF of 425/846, 320/138 i.e 5/19458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/846, 320/138.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 425/846,320/138
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 425/846,320/138, numerators are 425,320
Denominators are 846,138
The GCF of 425,320 is 5 .
LCM of 846,138 is 19458.
The greatest common factor of 425/846,320/138 = [GCF of 425,320]/[LCM of 846,138]= 5/19458
Therefore, the GCF of 425/846,320/138 is 5/19458.
To find the highest common factor of 425,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 425,320 is 5.
Lets's calculate GCF of 425,320
5 | 425, 320 |
85, 64 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 425,320 . The biggest common factor number is the GCF number.
So the greatest common factor 425,320 is 5.
Lets's calculate LCM of 846,138
2 | 846, 138 |
3 | 423, 69 |
141, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 141 x 23 = 19458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/19458
Therefore, the GCF of Fractions 425/846,320/138 is 5/19458
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 846,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,138) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(846,138) x common factors =6 x 1 = 6
LCM(846,138) = ( 846 × 138 ) / 6
LCM(846,138) = 116748 / 6
LCM(846,138) = 19458
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 425,320?
The HCF of 425,320 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 425/846, 320/138?
Answer: GCF of Numerators as per given numbers 425/846, 320/138 is
GCF of Numerators i.e. for 425,320 is 5
LCM of denominators i.e. for 846,138 is 19458.
Thus, GCF of Fractions is 5/19458.Finally, GCF of Fractions for 425/846, 320/138 is 5/19458.