Use our free GCF of Fractions Calculator tool to compute the GCF of 4020/567, 6460/8302 i.e 20/672462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4020/567, 6460/8302.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4020/567,6460/8302
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 4020/567,6460/8302, numerators are 4020,6460
Denominators are 567,8302
The GCF of 4020,6460 is 20 .
LCM of 567,8302 is 672462.
The greatest common factor of 4020/567,6460/8302 = [GCF of 4020,6460]/[LCM of 567,8302]= 20/672462
Therefore, the GCF of 4020/567,6460/8302 is 20/672462.
To find the highest common factor of 4020,6460, we have to find the factors of both numbers and list the highest common factor.
The factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020
The factors of 6460 are 1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460
The HCF of 4020,6460 is 20.
Lets's calculate GCF of 4020,6460
2 | 4020, 6460 |
2 | 2010, 3230 |
5 | 1005, 1615 |
201, 323 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Now, list down the factors of 4020
:1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020
Now, list down the factors of 6460
:1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460
Greatest Common Factor
We found the factors 4020,6460 . The biggest common factor number is the GCF number.
So the greatest common factor 4020,6460 is 20.
Lets's calculate LCM of 567,8302
7 | 567, 8302 |
81, 1186 |
∴ So the LCM of the given numbers is 7 x 81 x 1186 = 672462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/672462
Therefore, the GCF of Fractions 4020/567,6460/8302 is 20/672462
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 567,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,8302) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,8302) x common factors =7 x 1 = 7
LCM(567,8302) = ( 567 × 8302 ) / 7
LCM(567,8302) = 4707234 / 7
LCM(567,8302) = 672462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4020,6460?
The HCF of 4020,6460 is 20
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 4020/567, 6460/8302?
Answer: GCF of Numerators as per given numbers 4020/567, 6460/8302 is
GCF of Numerators i.e. for 4020,6460 is 20
LCM of denominators i.e. for 567,8302 is 672462.
Thus, GCF of Fractions is 20/672462.Finally, GCF of Fractions for 4020/567, 6460/8302 is 20/672462.