GCF of 5061/290, 2625/3687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5061/290, 2625/3687 i.e 21/1069230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5061/290, 2625/3687.
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 5061/290,2625/3687?
Given fractions are 5061/290,2625/3687
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 5061/290,2625/3687, numerators are 5061,2625
Denominators are 290,3687
The GCF of 5061,2625 is 21 .
LCM of 290,3687 is 1069230.
The greatest common factor of 5061/290,2625/3687 = [GCF of 5061,2625]/[LCM of 290,3687]= 21/1069230
Therefore, the GCF of 5061/290,2625/3687 is 21/1069230.
To find the highest common factor of 5061,2625, we have to find the factors of both numbers and list the highest common factor.
The factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061
The factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625
The HCF of 5061,2625 is 21.
Lets's calculate GCF of 5061,2625
| 3 | 5061, 2625 |
| 7 | 1687, 875 |
| 241, 125 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 5061,2625 By Matching Biggest Common Factor Method
Now, list down the factors of 5061
:1,3,7,21,241,723,1687,5061
Now, list down the factors of 2625
:1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625
Greatest Common Factor
We found the factors 5061,2625 . The biggest common factor number is the GCF number.
So the greatest common factor 5061,2625 is 21.
Lets's calculate LCM of 290,3687
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1069230
Therefore, the GCF of Fractions 5061/290,2625/3687 is 21/1069230
Least Common Multiple of 290,3687 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 290,3687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3687) x common factors =1 x 1 = 1
LCM(290,3687) = ( 290 × 3687 ) / 1
LCM(290,3687) = 1069230 / 1
LCM(290,3687) = 1069230
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FAQs on GCF of Fractions of 5061/290, 2625/3687
1. What is the HCF of 5061,2625?
The HCF of 5061,2625 is 21
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 5061/290, 2625/3687?
Answer: GCF of Numerators as per given numbers 5061/290, 2625/3687 is
GCF of Numerators i.e. for 5061,2625 is 21
LCM of denominators i.e. for 290,3687 is 1069230.
Thus, GCF of Fractions is 21/1069230.Finally, GCF of Fractions for 5061/290, 2625/3687 is 21/1069230.