GCF of 8600/210, 6100/8880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8600/210, 6100/8880 i.e 100/62160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8600/210, 6100/8880.
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 8600/210,6100/8880?
Given fractions are 8600/210,6100/8880
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 8600/210,6100/8880, numerators are 8600,6100
Denominators are 210,8880
The GCF of 8600,6100 is 100 .
LCM of 210,8880 is 62160.
The greatest common factor of 8600/210,6100/8880 = [GCF of 8600,6100]/[LCM of 210,8880]= 100/62160
Therefore, the GCF of 8600/210,6100/8880 is 100/62160.
To find the highest common factor of 8600,6100, we have to find the factors of both numbers and list the highest common factor.
The factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600
The factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100
The HCF of 8600,6100 is 100.
Lets's calculate GCF of 8600,6100
| 2 | 8600, 6100 |
| 2 | 4300, 3050 |
| 5 | 2150, 1525 |
| 5 | 430, 305 |
| 86, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Greatest Common Factor of 8600,6100 By Matching Biggest Common Factor Method
Now, list down the factors of 8600
:1,2,4,5,8,10,20,25,40,43,50,86,100,172,200,215,344,430,860,1075,1720,2150,4300,8600
Now, list down the factors of 6100
:1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100
Greatest Common Factor
We found the factors 8600,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 8600,6100 is 100.
Lets's calculate LCM of 210,8880
| 2 | 210, 8880 |
| 3 | 105, 4440 |
| 5 | 35, 1480 |
| 7, 296 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 296 = 62160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/62160
Therefore, the GCF of Fractions 8600/210,6100/8880 is 100/62160
Least Common Multiple of 210,8880 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 210,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,8880) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(210,8880) x common factors =30 x 1 = 30
LCM(210,8880) = ( 210 × 8880 ) / 30
LCM(210,8880) = 1864800 / 30
LCM(210,8880) = 62160
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FAQs on GCF of Fractions of 8600/210, 6100/8880
1. What is the HCF of 8600,6100?
The HCF of 8600,6100 is 100
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 8600/210, 6100/8880?
Answer: GCF of Numerators as per given numbers 8600/210, 6100/8880 is
GCF of Numerators i.e. for 8600,6100 is 100
LCM of denominators i.e. for 210,8880 is 62160.
Thus, GCF of Fractions is 100/62160.Finally, GCF of Fractions for 8600/210, 6100/8880 is 100/62160.