GCF of 3650/187, 7438/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3650/187, 7438/517 i.e 2/8789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3650/187, 7438/517.
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 3650/187,7438/517?
Given fractions are 3650/187,7438/517
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 3650/187,7438/517, numerators are 3650,7438
Denominators are 187,517
The GCF of 3650,7438 is 2 .
LCM of 187,517 is 8789.
The greatest common factor of 3650/187,7438/517 = [GCF of 3650,7438]/[LCM of 187,517]= 2/8789
Therefore, the GCF of 3650/187,7438/517 is 2/8789.
To find the highest common factor of 3650,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 3650,7438 is 2.
Lets's calculate GCF of 3650,7438
| 2 | 3650, 7438 |
| 1825, 3719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3650,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 3650
:1,2,5,10,25,50,73,146,365,730,1825,3650
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 3650,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,7438 is 2.
Lets's calculate LCM of 187,517
| 11 | 187, 517 |
| 17, 47 |
∴ So the LCM of the given numbers is 11 x 17 x 47 = 8789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8789
Therefore, the GCF of Fractions 3650/187,7438/517 is 2/8789
Least Common Multiple of 187,517 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 187,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,517) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(187,517) x common factors =11 x 1 = 11
LCM(187,517) = ( 187 × 517 ) / 11
LCM(187,517) = 96679 / 11
LCM(187,517) = 8789
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FAQs on GCF of Fractions of 3650/187, 7438/517
1. What is the HCF of 3650,7438?
The HCF of 3650,7438 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 3650/187, 7438/517?
Answer: GCF of Numerators as per given numbers 3650/187, 7438/517 is
GCF of Numerators i.e. for 3650,7438 is 2
LCM of denominators i.e. for 187,517 is 8789.
Thus, GCF of Fractions is 2/8789.Finally, GCF of Fractions for 3650/187, 7438/517 is 2/8789.