Use our free GCF of Fractions Calculator tool to compute the GCF of 1798/655, 5046/7475 i.e 58/979225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/655, 5046/7475.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1798/655,5046/7475
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 1798/655,5046/7475, numerators are 1798,5046
Denominators are 655,7475
The GCF of 1798,5046 is 58 .
LCM of 655,7475 is 979225.
The greatest common factor of 1798/655,5046/7475 = [GCF of 1798,5046]/[LCM of 655,7475]= 58/979225
Therefore, the GCF of 1798/655,5046/7475 is 58/979225.
To find the highest common factor of 1798,5046, we have to find the factors of both numbers and list the highest common factor.
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046
The HCF of 1798,5046 is 58.
Lets's calculate GCF of 1798,5046
2 | 1798, 5046 |
29 | 899, 2523 |
31, 87 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Now, list down the factors of 5046
:1,2,3,6,29,58,87,174,841,1682,2523,5046
Greatest Common Factor
We found the factors 1798,5046 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,5046 is 58.
Lets's calculate LCM of 655,7475
5 | 655, 7475 |
131, 1495 |
∴ So the LCM of the given numbers is 5 x 131 x 1495 = 979225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/979225
Therefore, the GCF of Fractions 1798/655,5046/7475 is 58/979225
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 655,7475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,7475) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,7475) x common factors =5 x 1 = 5
LCM(655,7475) = ( 655 × 7475 ) / 5
LCM(655,7475) = 4896125 / 5
LCM(655,7475) = 979225
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1798,5046?
The HCF of 1798,5046 is 58
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 1798/655, 5046/7475?
Answer: GCF of Numerators as per given numbers 1798/655, 5046/7475 is
GCF of Numerators i.e. for 1798,5046 is 58
LCM of denominators i.e. for 655,7475 is 979225.
Thus, GCF of Fractions is 58/979225.Finally, GCF of Fractions for 1798/655, 5046/7475 is 58/979225.