GCF of 5002/769, 5372/1529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5002/769, 5372/1529 i.e 2/1175801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5002/769, 5372/1529.
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 5002/769,5372/1529?
Given fractions are 5002/769,5372/1529
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 5002/769,5372/1529, numerators are 5002,5372
Denominators are 769,1529
The GCF of 5002,5372 is 2 .
LCM of 769,1529 is 1175801.
The greatest common factor of 5002/769,5372/1529 = [GCF of 5002,5372]/[LCM of 769,1529]= 2/1175801
Therefore, the GCF of 5002/769,5372/1529 is 2/1175801.
To find the highest common factor of 5002,5372, we have to find the factors of both numbers and list the highest common factor.
The factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002
The factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372
The HCF of 5002,5372 is 2.
Lets's calculate GCF of 5002,5372
| 2 | 5002, 5372 |
| 2501, 2686 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5002,5372 By Matching Biggest Common Factor Method
Now, list down the factors of 5002
:1,2,41,61,82,122,2501,5002
Now, list down the factors of 5372
:1,2,4,17,34,68,79,158,316,1343,2686,5372
Greatest Common Factor
We found the factors 5002,5372 . The biggest common factor number is the GCF number.
So the greatest common factor 5002,5372 is 2.
Lets's calculate LCM of 769,1529
Given numbers has no common factors except 1. So, there LCM is their product i.e 1175801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1175801
Therefore, the GCF of Fractions 5002/769,5372/1529 is 2/1175801
Least Common Multiple of 769,1529 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 769,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,1529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,1529) x common factors =1 x 1 = 1
LCM(769,1529) = ( 769 × 1529 ) / 1
LCM(769,1529) = 1175801 / 1
LCM(769,1529) = 1175801
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FAQs on GCF of Fractions of 5002/769, 5372/1529
1. What is the HCF of 5002,5372?
The HCF of 5002,5372 is 2
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 5002/769, 5372/1529?
Answer: GCF of Numerators as per given numbers 5002/769, 5372/1529 is
GCF of Numerators i.e. for 5002,5372 is 2
LCM of denominators i.e. for 769,1529 is 1175801.
Thus, GCF of Fractions is 2/1175801.Finally, GCF of Fractions for 5002/769, 5372/1529 is 2/1175801.