GCF of 6058/420, 6100/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6058/420, 6100/207 i.e 2/28980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6058/420, 6100/207.
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 6058/420,6100/207?
Given fractions are 6058/420,6100/207
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 6058/420,6100/207, numerators are 6058,6100
Denominators are 420,207
The GCF of 6058,6100 is 2 .
LCM of 420,207 is 28980.
The greatest common factor of 6058/420,6100/207 = [GCF of 6058,6100]/[LCM of 420,207]= 2/28980
Therefore, the GCF of 6058/420,6100/207 is 2/28980.
To find the highest common factor of 6058,6100, we have to find the factors of both numbers and list the highest common factor.
The factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058
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 6058,6100 is 2.
Lets's calculate GCF of 6058,6100
| 2 | 6058, 6100 |
| 3029, 3050 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6058,6100 By Matching Biggest Common Factor Method
Now, list down the factors of 6058
:1,2,13,26,233,466,3029,6058
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 6058,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 6058,6100 is 2.
Lets's calculate LCM of 420,207
| 3 | 420, 207 |
| 140, 69 |
∴ So the LCM of the given numbers is 3 x 140 x 69 = 28980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28980
Therefore, the GCF of Fractions 6058/420,6100/207 is 2/28980
Least Common Multiple of 420,207 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 420,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,207) x common factors =3 x 1 = 3
LCM(420,207) = ( 420 × 207 ) / 3
LCM(420,207) = 86940 / 3
LCM(420,207) = 28980
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FAQs on GCF of Fractions of 6058/420, 6100/207
1. What is the HCF of 6058,6100?
The HCF of 6058,6100 is 2
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 6058/420, 6100/207?
Answer: GCF of Numerators as per given numbers 6058/420, 6100/207 is
GCF of Numerators i.e. for 6058,6100 is 2
LCM of denominators i.e. for 420,207 is 28980.
Thus, GCF of Fractions is 2/28980.Finally, GCF of Fractions for 6058/420, 6100/207 is 2/28980.