GCF of 501/991, 351/684, 351/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 501/991, 351/684, 351/121 i.e 3/82019124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/991, 351/684, 351/121.
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 501/991,351/684,351/121?
Given fractions are 501/991,351/684,351/121
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 501/991,351/684,351/121, numerators are 501,351,351
Denominators are 991,684,121
The GCF of 501,351,351 is 3 .
LCM of 991,684,121 is 82019124.
The greatest common factor of 501/991,351/684,351/121 = [GCF of 501,351,351]/[LCM of 991,684,121]= 3/82019124
Therefore, the GCF of 501/991,351/684,351/121 is 3/82019124.
To find the highest common factor of 501,351,351, we have to find the factors of both numbers and list the highest common factor.
The factors of 501 are 1, 3, 167, 501
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 501,351,351 is 3.
Lets's calculate GCF of 501,351,351
| 3 | 501, 351, 351 |
| 167, 117, 117 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 501,351,351 By Matching Biggest Common Factor Method
Now, list down the factors of 501
:1,3,167,501
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 501,351,351 . The biggest common factor number is the GCF number.
So the greatest common factor 501,351,351 is 3.
Lets's calculate LCM of 991,684,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 82019124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82019124
Therefore, the GCF of Fractions 501/991,351/684,351/121 is 3/82019124
Least Common Multiple of 991,684,121 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 991,684,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,684,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,684,121) x common factors =1 x 1 = 1
LCM(991,684,121) = ( 991 × 684 × 121 ) / 1
LCM(991,684,121) = 82019124 / 1
LCM(991,684,121) = 82019124
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FAQs on GCF of Fractions of 501/991, 351/684, 351/121
1. What is the HCF of 501,351,351?
The HCF of 501,351,351 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 501/991, 351/684, 351/121?
Answer: GCF of Numerators as per given numbers 501/991, 351/684, 351/121 is
GCF of Numerators i.e. for 501,351,351 is 3
LCM of denominators i.e. for 991,684,121 is 82019124.
Thus, GCF of Fractions is 3/82019124.Finally, GCF of Fractions for 501/991, 351/684, 351/121 is 3/82019124.