GCF of 1491/675, 5217/4068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1491/675, 5217/4068 i.e 3/305100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1491/675, 5217/4068.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1491/675,5217/4068?
Given fractions are 1491/675,5217/4068
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 1491/675,5217/4068, numerators are 1491,5217
Denominators are 675,4068
The GCF of 1491,5217 is 3 .
LCM of 675,4068 is 305100.
The greatest common factor of 1491/675,5217/4068 = [GCF of 1491,5217]/[LCM of 675,4068]= 3/305100
Therefore, the GCF of 1491/675,5217/4068 is 3/305100.
To find the highest common factor of 1491,5217, we have to find the factors of both numbers and list the highest common factor.
The factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The HCF of 1491,5217 is 3.
Lets's calculate GCF of 1491,5217
| 3 | 1491, 5217 |
| 497, 1739 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1491,5217 By Matching Biggest Common Factor Method
Now, list down the factors of 1491
:1,3,7,21,71,213,497,1491
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
Greatest Common Factor
We found the factors 1491,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 1491,5217 is 3.
Lets's calculate LCM of 675,4068
| 3 | 675, 4068 |
| 3 | 225, 1356 |
| 75, 452 |
∴ So the LCM of the given numbers is 3 x 3 x 75 x 452 = 305100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/305100
Therefore, the GCF of Fractions 1491/675,5217/4068 is 3/305100
Least Common Multiple of 675,4068 with GCF Formula
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 675,4068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,4068) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(675,4068) x common factors =9 x 1 = 9
LCM(675,4068) = ( 675 × 4068 ) / 9
LCM(675,4068) = 2745900 / 9
LCM(675,4068) = 305100
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FAQs on GCF of Fractions of 1491/675, 5217/4068
1. What is the HCF of 1491,5217?
The HCF of 1491,5217 is 3
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 1491/675, 5217/4068?
Answer: GCF of Numerators as per given numbers 1491/675, 5217/4068 is
GCF of Numerators i.e. for 1491,5217 is 3
LCM of denominators i.e. for 675,4068 is 305100.
Thus, GCF of Fractions is 3/305100.Finally, GCF of Fractions for 1491/675, 5217/4068 is 3/305100.