Use our free GCF of Fractions Calculator tool to compute the GCF of 6510/499, 7074/6082 i.e 6/3034918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6510/499, 7074/6082.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6510/499,7074/6082
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 6510/499,7074/6082, numerators are 6510,7074
Denominators are 499,6082
The GCF of 6510,7074 is 6 .
LCM of 499,6082 is 3034918.
The greatest common factor of 6510/499,7074/6082 = [GCF of 6510,7074]/[LCM of 499,6082]= 6/3034918
Therefore, the GCF of 6510/499,7074/6082 is 6/3034918.
To find the highest common factor of 6510,7074, we have to find the factors of both numbers and list the highest common factor.
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074
The HCF of 6510,7074 is 6.
Lets's calculate GCF of 6510,7074
2 | 6510, 7074 |
3 | 3255, 3537 |
1085, 1179 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Now, list down the factors of 7074
:1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Greatest Common Factor
We found the factors 6510,7074 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,7074 is 6.
Lets's calculate LCM of 499,6082
Given numbers has no common factors except 1. So, there LCM is their product i.e 3034918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3034918
Therefore, the GCF of Fractions 6510/499,7074/6082 is 6/3034918
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 499,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,6082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,6082) x common factors =1 x 1 = 1
LCM(499,6082) = ( 499 × 6082 ) / 1
LCM(499,6082) = 3034918 / 1
LCM(499,6082) = 3034918
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6510,7074?
The HCF of 6510,7074 is 6
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 6510/499, 7074/6082?
Answer: GCF of Numerators as per given numbers 6510/499, 7074/6082 is
GCF of Numerators i.e. for 6510,7074 is 6
LCM of denominators i.e. for 499,6082 is 3034918.
Thus, GCF of Fractions is 6/3034918.Finally, GCF of Fractions for 6510/499, 7074/6082 is 6/3034918.