Use our free GCF of Fractions Calculator tool to compute the GCF of 772/686, 320/530 i.e 4/181790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/686, 320/530.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/686,320/530
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 772/686,320/530, numerators are 772,320
Denominators are 686,530
The GCF of 772,320 is 4 .
LCM of 686,530 is 181790.
The greatest common factor of 772/686,320/530 = [GCF of 772,320]/[LCM of 686,530]= 4/181790
Therefore, the GCF of 772/686,320/530 is 4/181790.
To find the highest common factor of 772,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 772 are 1, 2, 4, 193, 386, 772
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 772,320 is 4.
Lets's calculate GCF of 772,320
2 | 772, 320 |
2 | 386, 160 |
193, 80 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 772
:1,2,4,193,386,772
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 772,320 . The biggest common factor number is the GCF number.
So the greatest common factor 772,320 is 4.
Lets's calculate LCM of 686,530
2 | 686, 530 |
343, 265 |
∴ So the LCM of the given numbers is 2 x 343 x 265 = 181790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/181790
Therefore, the GCF of Fractions 772/686,320/530 is 4/181790
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 686,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,530) x common factors =2 x 1 = 2
LCM(686,530) = ( 686 × 530 ) / 2
LCM(686,530) = 363580 / 2
LCM(686,530) = 181790
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 772,320?
The HCF of 772,320 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 772/686, 320/530?
Answer: GCF of Numerators as per given numbers 772/686, 320/530 is
GCF of Numerators i.e. for 772,320 is 4
LCM of denominators i.e. for 686,530 is 181790.
Thus, GCF of Fractions is 4/181790.Finally, GCF of Fractions for 772/686, 320/530 is 4/181790.