GCF of 5019/149, 3693/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5019/149, 3693/491 i.e 3/73159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5019/149, 3693/491.
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 5019/149,3693/491?
Given fractions are 5019/149,3693/491
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 5019/149,3693/491, numerators are 5019,3693
Denominators are 149,491
The GCF of 5019,3693 is 3 .
LCM of 149,491 is 73159.
The greatest common factor of 5019/149,3693/491 = [GCF of 5019,3693]/[LCM of 149,491]= 3/73159
Therefore, the GCF of 5019/149,3693/491 is 3/73159.
To find the highest common factor of 5019,3693, we have to find the factors of both numbers and list the highest common factor.
The factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019
The factors of 3693 are 1, 3, 1231, 3693
The HCF of 5019,3693 is 3.
Lets's calculate GCF of 5019,3693
| 3 | 5019, 3693 |
| 1673, 1231 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5019,3693 By Matching Biggest Common Factor Method
Now, list down the factors of 5019
:1,3,7,21,239,717,1673,5019
Now, list down the factors of 3693
:1,3,1231,3693
Greatest Common Factor
We found the factors 5019,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 5019,3693 is 3.
Lets's calculate LCM of 149,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 73159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73159
Therefore, the GCF of Fractions 5019/149,3693/491 is 3/73159
Least Common Multiple of 149,491 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 149,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,491) x common factors =1 x 1 = 1
LCM(149,491) = ( 149 × 491 ) / 1
LCM(149,491) = 73159 / 1
LCM(149,491) = 73159
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FAQs on GCF of Fractions of 5019/149, 3693/491
1. What is the HCF of 5019,3693?
The HCF of 5019,3693 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 5019/149, 3693/491?
Answer: GCF of Numerators as per given numbers 5019/149, 3693/491 is
GCF of Numerators i.e. for 5019,3693 is 3
LCM of denominators i.e. for 149,491 is 73159.
Thus, GCF of Fractions is 3/73159.Finally, GCF of Fractions for 5019/149, 3693/491 is 3/73159.