GCF of 1204/149, 4158/6670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1204/149, 4158/6670 i.e 14/993830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1204/149, 4158/6670.
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 1204/149,4158/6670?
Given fractions are 1204/149,4158/6670
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 1204/149,4158/6670, numerators are 1204,4158
Denominators are 149,6670
The GCF of 1204,4158 is 14 .
LCM of 149,6670 is 993830.
The greatest common factor of 1204/149,4158/6670 = [GCF of 1204,4158]/[LCM of 149,6670]= 14/993830
Therefore, the GCF of 1204/149,4158/6670 is 14/993830.
To find the highest common factor of 1204,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The HCF of 1204,4158 is 14.
Lets's calculate GCF of 1204,4158
| 2 | 1204, 4158 |
| 7 | 602, 2079 |
| 86, 297 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1204,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 1204
:1,2,4,7,14,28,43,86,172,301,602,1204
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 1204,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 1204,4158 is 14.
Lets's calculate LCM of 149,6670
Given numbers has no common factors except 1. So, there LCM is their product i.e 993830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/993830
Therefore, the GCF of Fractions 1204/149,4158/6670 is 14/993830
Least Common Multiple of 149,6670 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 149,6670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,6670) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,6670) x common factors =1 x 1 = 1
LCM(149,6670) = ( 149 × 6670 ) / 1
LCM(149,6670) = 993830 / 1
LCM(149,6670) = 993830
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FAQs on GCF of Fractions of 1204/149, 4158/6670
1. What is the HCF of 1204,4158?
The HCF of 1204,4158 is 14
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 1204/149, 4158/6670?
Answer: GCF of Numerators as per given numbers 1204/149, 4158/6670 is
GCF of Numerators i.e. for 1204,4158 is 14
LCM of denominators i.e. for 149,6670 is 993830.
Thus, GCF of Fractions is 14/993830.Finally, GCF of Fractions for 1204/149, 4158/6670 is 14/993830.