GCF of 5142/764, 5082/3269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5142/764, 5082/3269 i.e 6/2497516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5142/764, 5082/3269.
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 5142/764,5082/3269?
Given fractions are 5142/764,5082/3269
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 5142/764,5082/3269, numerators are 5142,5082
Denominators are 764,3269
The GCF of 5142,5082 is 6 .
LCM of 764,3269 is 2497516.
The greatest common factor of 5142/764,5082/3269 = [GCF of 5142,5082]/[LCM of 764,3269]= 6/2497516
Therefore, the GCF of 5142/764,5082/3269 is 6/2497516.
To find the highest common factor of 5142,5082, we have to find the factors of both numbers and list the highest common factor.
The factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142
The factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082
The HCF of 5142,5082 is 6.
Lets's calculate GCF of 5142,5082
| 2 | 5142, 5082 |
| 3 | 2571, 2541 |
| 857, 847 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5142,5082 By Matching Biggest Common Factor Method
Now, list down the factors of 5142
:1,2,3,6,857,1714,2571,5142
Now, list down the factors of 5082
:1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082
Greatest Common Factor
We found the factors 5142,5082 . The biggest common factor number is the GCF number.
So the greatest common factor 5142,5082 is 6.
Lets's calculate LCM of 764,3269
Given numbers has no common factors except 1. So, there LCM is their product i.e 2497516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2497516
Therefore, the GCF of Fractions 5142/764,5082/3269 is 6/2497516
Least Common Multiple of 764,3269 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 764,3269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,3269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,3269) x common factors =1 x 1 = 1
LCM(764,3269) = ( 764 × 3269 ) / 1
LCM(764,3269) = 2497516 / 1
LCM(764,3269) = 2497516
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5142/764, 5082/3269
1. What is the HCF of 5142,5082?
The HCF of 5142,5082 is 6
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 5142/764, 5082/3269?
Answer: GCF of Numerators as per given numbers 5142/764, 5082/3269 is
GCF of Numerators i.e. for 5142,5082 is 6
LCM of denominators i.e. for 764,3269 is 2497516.
Thus, GCF of Fractions is 6/2497516.Finally, GCF of Fractions for 5142/764, 5082/3269 is 6/2497516.