Use our free GCF of Fractions Calculator tool to compute the GCF of 9620/926, 4651/674 i.e 1/312062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9620/926, 4651/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9620/926,4651/674
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 9620/926,4651/674, numerators are 9620,4651
Denominators are 926,674
The GCF of 9620,4651 is 1 .
LCM of 926,674 is 312062.
The greatest common factor of 9620/926,4651/674 = [GCF of 9620,4651]/[LCM of 926,674]= 1/312062
Therefore, the GCF of 9620/926,4651/674 is 1/312062.
To find the highest common factor of 9620,4651, we have to find the factors of both numbers and list the highest common factor.
The factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The factors of 4651 are 1, 4651
The HCF of 9620,4651 is 1.
Lets's calculate GCF of 9620,4651
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Now, list down the factors of 4651
:1,4651
Greatest Common Factor
We found the factors 9620,4651 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,4651 is 1.
Lets's calculate LCM of 926,674
2 | 926, 674 |
463, 337 |
∴ So the LCM of the given numbers is 2 x 463 x 337 = 312062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312062
Therefore, the GCF of Fractions 9620/926,4651/674 is 1/312062
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 926,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,674) x common factors =2 x 1 = 2
LCM(926,674) = ( 926 × 674 ) / 2
LCM(926,674) = 624124 / 2
LCM(926,674) = 312062
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9620,4651?
The HCF of 9620,4651 is 1
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 9620/926, 4651/674?
Answer: GCF of Numerators as per given numbers 9620/926, 4651/674 is
GCF of Numerators i.e. for 9620,4651 is 1
LCM of denominators i.e. for 926,674 is 312062.
Thus, GCF of Fractions is 1/312062.Finally, GCF of Fractions for 9620/926, 4651/674 is 1/312062.