GCF of 1491/177, 9372/6462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1491/177, 9372/6462 i.e 213/381258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1491/177, 9372/6462.
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 1491/177,9372/6462?
Given fractions are 1491/177,9372/6462
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 1491/177,9372/6462, numerators are 1491,9372
Denominators are 177,6462
The GCF of 1491,9372 is 213 .
LCM of 177,6462 is 381258.
The greatest common factor of 1491/177,9372/6462 = [GCF of 1491,9372]/[LCM of 177,6462]= 213/381258
Therefore, the GCF of 1491/177,9372/6462 is 213/381258.
To find the highest common factor of 1491,9372, 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 9372 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 71, 132, 142, 213, 284, 426, 781, 852, 1562, 2343, 3124, 4686, 9372
The HCF of 1491,9372 is 213.
Lets's calculate GCF of 1491,9372
| 3 | 1491, 9372 |
| 71 | 497, 3124 |
| 7, 44 |
∴ So the GCF of the given numbers is 3 x 71 = 213
Greatest Common Factor of 1491,9372 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 9372
:1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372
Greatest Common Factor
We found the factors 1491,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 1491,9372 is 213.
Lets's calculate LCM of 177,6462
| 3 | 177, 6462 |
| 59, 2154 |
∴ So the LCM of the given numbers is 3 x 59 x 2154 = 381258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 213/381258
Therefore, the GCF of Fractions 1491/177,9372/6462 is 213/381258
Least Common Multiple of 177,6462 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 177,6462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,6462) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,6462) x common factors =3 x 1 = 3
LCM(177,6462) = ( 177 × 6462 ) / 3
LCM(177,6462) = 1143774 / 3
LCM(177,6462) = 381258
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FAQs on GCF of Fractions of 1491/177, 9372/6462
1. What is the HCF of 1491,9372?
The HCF of 1491,9372 is 213
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 1491/177, 9372/6462?
Answer: GCF of Numerators as per given numbers 1491/177, 9372/6462 is
GCF of Numerators i.e. for 1491,9372 is 213
LCM of denominators i.e. for 177,6462 is 381258.
Thus, GCF of Fractions is 213/381258.Finally, GCF of Fractions for 1491/177, 9372/6462 is 213/381258.