GCF of 5007/166, 3690/7839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5007/166, 3690/7839 i.e 3/1301274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5007/166, 3690/7839.
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 5007/166,3690/7839?
Given fractions are 5007/166,3690/7839
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 5007/166,3690/7839, numerators are 5007,3690
Denominators are 166,7839
The GCF of 5007,3690 is 3 .
LCM of 166,7839 is 1301274.
The greatest common factor of 5007/166,3690/7839 = [GCF of 5007,3690]/[LCM of 166,7839]= 3/1301274
Therefore, the GCF of 5007/166,3690/7839 is 3/1301274.
To find the highest common factor of 5007,3690, we have to find the factors of both numbers and list the highest common factor.
The factors of 5007 are 1, 3, 1669, 5007
The factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690
The HCF of 5007,3690 is 3.
Lets's calculate GCF of 5007,3690
| 3 | 5007, 3690 |
| 1669, 1230 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5007,3690 By Matching Biggest Common Factor Method
Now, list down the factors of 5007
:1,3,1669,5007
Now, list down the factors of 3690
:1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690
Greatest Common Factor
We found the factors 5007,3690 . The biggest common factor number is the GCF number.
So the greatest common factor 5007,3690 is 3.
Lets's calculate LCM of 166,7839
Given numbers has no common factors except 1. So, there LCM is their product i.e 1301274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1301274
Therefore, the GCF of Fractions 5007/166,3690/7839 is 3/1301274
Least Common Multiple of 166,7839 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 166,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,7839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,7839) x common factors =1 x 1 = 1
LCM(166,7839) = ( 166 × 7839 ) / 1
LCM(166,7839) = 1301274 / 1
LCM(166,7839) = 1301274
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FAQs on GCF of Fractions of 5007/166, 3690/7839
1. What is the HCF of 5007,3690?
The HCF of 5007,3690 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 5007/166, 3690/7839?
Answer: GCF of Numerators as per given numbers 5007/166, 3690/7839 is
GCF of Numerators i.e. for 5007,3690 is 3
LCM of denominators i.e. for 166,7839 is 1301274.
Thus, GCF of Fractions is 3/1301274.Finally, GCF of Fractions for 5007/166, 3690/7839 is 3/1301274.