GCF of 7631/838, 4080/1622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7631/838, 4080/1622 i.e 1/679618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7631/838, 4080/1622.
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 7631/838,4080/1622?
Given fractions are 7631/838,4080/1622
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 7631/838,4080/1622, numerators are 7631,4080
Denominators are 838,1622
The GCF of 7631,4080 is 1 .
LCM of 838,1622 is 679618.
The greatest common factor of 7631/838,4080/1622 = [GCF of 7631,4080]/[LCM of 838,1622]= 1/679618
Therefore, the GCF of 7631/838,4080/1622 is 1/679618.
To find the highest common factor of 7631,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 7631 are 1, 13, 587, 7631
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 7631,4080 is 1.
Lets's calculate GCF of 7631,4080
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7631,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 7631
:1,13,587,7631
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 7631,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 7631,4080 is 1.
Lets's calculate LCM of 838,1622
| 2 | 838, 1622 |
| 419, 811 |
∴ So the LCM of the given numbers is 2 x 419 x 811 = 679618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/679618
Therefore, the GCF of Fractions 7631/838,4080/1622 is 1/679618
Least Common Multiple of 838,1622 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 838,1622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,1622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,1622) x common factors =2 x 1 = 2
LCM(838,1622) = ( 838 × 1622 ) / 2
LCM(838,1622) = 1359236 / 2
LCM(838,1622) = 679618
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FAQs on GCF of Fractions of 7631/838, 4080/1622
1. What is the HCF of 7631,4080?
The HCF of 7631,4080 is 1
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 7631/838, 4080/1622?
Answer: GCF of Numerators as per given numbers 7631/838, 4080/1622 is
GCF of Numerators i.e. for 7631,4080 is 1
LCM of denominators i.e. for 838,1622 is 679618.
Thus, GCF of Fractions is 1/679618.Finally, GCF of Fractions for 7631/838, 4080/1622 is 1/679618.