GCF of 8140/917, 5775/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8140/917, 5775/493 i.e 55/452081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8140/917, 5775/493.
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 8140/917,5775/493?
Given fractions are 8140/917,5775/493
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 8140/917,5775/493, numerators are 8140,5775
Denominators are 917,493
The GCF of 8140,5775 is 55 .
LCM of 917,493 is 452081.
The greatest common factor of 8140/917,5775/493 = [GCF of 8140,5775]/[LCM of 917,493]= 55/452081
Therefore, the GCF of 8140/917,5775/493 is 55/452081.
To find the highest common factor of 8140,5775, we have to find the factors of both numbers and list the highest common factor.
The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
The factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775
The HCF of 8140,5775 is 55.
Lets's calculate GCF of 8140,5775
| 5 | 8140, 5775 |
| 11 | 1628, 1155 |
| 148, 105 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 8140,5775 By Matching Biggest Common Factor Method
Now, list down the factors of 8140
:1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Now, list down the factors of 5775
:1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 8140,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 8140,5775 is 55.
Lets's calculate LCM of 917,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 452081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/452081
Therefore, the GCF of Fractions 8140/917,5775/493 is 55/452081
Least Common Multiple of 917,493 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 917,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,493) x common factors =1 x 1 = 1
LCM(917,493) = ( 917 × 493 ) / 1
LCM(917,493) = 452081 / 1
LCM(917,493) = 452081
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FAQs on GCF of Fractions of 8140/917, 5775/493
1. What is the HCF of 8140,5775?
The HCF of 8140,5775 is 55
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 8140/917, 5775/493?
Answer: GCF of Numerators as per given numbers 8140/917, 5775/493 is
GCF of Numerators i.e. for 8140,5775 is 55
LCM of denominators i.e. for 917,493 is 452081.
Thus, GCF of Fractions is 55/452081.Finally, GCF of Fractions for 8140/917, 5775/493 is 55/452081.