GCF of 1850/170, 8580/7826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1850/170, 8580/7826 i.e 10/665210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1850/170, 8580/7826.
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 1850/170,8580/7826?
Given fractions are 1850/170,8580/7826
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 1850/170,8580/7826, numerators are 1850,8580
Denominators are 170,7826
The GCF of 1850,8580 is 10 .
LCM of 170,7826 is 665210.
The greatest common factor of 1850/170,8580/7826 = [GCF of 1850,8580]/[LCM of 170,7826]= 10/665210
Therefore, the GCF of 1850/170,8580/7826 is 10/665210.
To find the highest common factor of 1850,8580, we have to find the factors of both numbers and list the highest common factor.
The factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850
The factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580
The HCF of 1850,8580 is 10.
Lets's calculate GCF of 1850,8580
| 2 | 1850, 8580 |
| 5 | 925, 4290 |
| 185, 858 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1850,8580 By Matching Biggest Common Factor Method
Now, list down the factors of 1850
:1,2,5,10,25,37,50,74,185,370,925,1850
Now, list down the factors of 8580
:1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 1850,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 1850,8580 is 10.
Lets's calculate LCM of 170,7826
| 2 | 170, 7826 |
| 85, 3913 |
∴ So the LCM of the given numbers is 2 x 85 x 3913 = 665210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/665210
Therefore, the GCF of Fractions 1850/170,8580/7826 is 10/665210
Least Common Multiple of 170,7826 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 170,7826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7826) x common factors =2 x 1 = 2
LCM(170,7826) = ( 170 × 7826 ) / 2
LCM(170,7826) = 1330420 / 2
LCM(170,7826) = 665210
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FAQs on GCF of Fractions of 1850/170, 8580/7826
1. What is the HCF of 1850,8580?
The HCF of 1850,8580 is 10
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 1850/170, 8580/7826?
Answer: GCF of Numerators as per given numbers 1850/170, 8580/7826 is
GCF of Numerators i.e. for 1850,8580 is 10
LCM of denominators i.e. for 170,7826 is 665210.
Thus, GCF of Fractions is 10/665210.Finally, GCF of Fractions for 1850/170, 8580/7826 is 10/665210.