GCF of 6670/821, 8880/1991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/821, 8880/1991 i.e 10/1634611 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/821, 8880/1991.
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 6670/821,8880/1991?
Given fractions are 6670/821,8880/1991
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 6670/821,8880/1991, numerators are 6670,8880
Denominators are 821,1991
The GCF of 6670,8880 is 10 .
LCM of 821,1991 is 1634611.
The greatest common factor of 6670/821,8880/1991 = [GCF of 6670,8880]/[LCM of 821,1991]= 10/1634611
Therefore, the GCF of 6670/821,8880/1991 is 10/1634611.
To find the highest common factor of 6670,8880, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The HCF of 6670,8880 is 10.
Lets's calculate GCF of 6670,8880
| 2 | 6670, 8880 |
| 5 | 3335, 4440 |
| 667, 888 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6670,8880 By Matching Biggest Common Factor Method
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 6670,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,8880 is 10.
Lets's calculate LCM of 821,1991
Given numbers has no common factors except 1. So, there LCM is their product i.e 1634611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1634611
Therefore, the GCF of Fractions 6670/821,8880/1991 is 10/1634611
Least Common Multiple of 821,1991 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 821,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,1991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,1991) x common factors =1 x 1 = 1
LCM(821,1991) = ( 821 × 1991 ) / 1
LCM(821,1991) = 1634611 / 1
LCM(821,1991) = 1634611
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FAQs on GCF of Fractions of 6670/821, 8880/1991
1. What is the HCF of 6670,8880?
The HCF of 6670,8880 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 6670/821, 8880/1991?
Answer: GCF of Numerators as per given numbers 6670/821, 8880/1991 is
GCF of Numerators i.e. for 6670,8880 is 10
LCM of denominators i.e. for 821,1991 is 1634611.
Thus, GCF of Fractions is 10/1634611.Finally, GCF of Fractions for 6670/821, 8880/1991 is 10/1634611.