GCF of 6942/569, 5010/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6942/569, 5010/549 i.e 6/312381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6942/569, 5010/549.
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 6942/569,5010/549?
Given fractions are 6942/569,5010/549
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 6942/569,5010/549, numerators are 6942,5010
Denominators are 569,549
The GCF of 6942,5010 is 6 .
LCM of 569,549 is 312381.
The greatest common factor of 6942/569,5010/549 = [GCF of 6942,5010]/[LCM of 569,549]= 6/312381
Therefore, the GCF of 6942/569,5010/549 is 6/312381.
To find the highest common factor of 6942,5010, we have to find the factors of both numbers and list the highest common factor.
The factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The HCF of 6942,5010 is 6.
Lets's calculate GCF of 6942,5010
| 2 | 6942, 5010 |
| 3 | 3471, 2505 |
| 1157, 835 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6942,5010 By Matching Biggest Common Factor Method
Now, list down the factors of 6942
:1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 6942,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 6942,5010 is 6.
Lets's calculate LCM of 569,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 312381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/312381
Therefore, the GCF of Fractions 6942/569,5010/549 is 6/312381
Least Common Multiple of 569,549 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 569,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,549) x common factors =1 x 1 = 1
LCM(569,549) = ( 569 × 549 ) / 1
LCM(569,549) = 312381 / 1
LCM(569,549) = 312381
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FAQs on GCF of Fractions of 6942/569, 5010/549
1. What is the HCF of 6942,5010?
The HCF of 6942,5010 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 6942/569, 5010/549?
Answer: GCF of Numerators as per given numbers 6942/569, 5010/549 is
GCF of Numerators i.e. for 6942,5010 is 6
LCM of denominators i.e. for 569,549 is 312381.
Thus, GCF of Fractions is 6/312381.Finally, GCF of Fractions for 6942/569, 5010/549 is 6/312381.