GCF of 3671/998, 4158/670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3671/998, 4158/670 i.e 1/334330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3671/998, 4158/670.
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 3671/998,4158/670?
Given fractions are 3671/998,4158/670
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 3671/998,4158/670, numerators are 3671,4158
Denominators are 998,670
The GCF of 3671,4158 is 1 .
LCM of 998,670 is 334330.
The greatest common factor of 3671/998,4158/670 = [GCF of 3671,4158]/[LCM of 998,670]= 1/334330
Therefore, the GCF of 3671/998,4158/670 is 1/334330.
To find the highest common factor of 3671,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 3671 are 1, 3671
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 3671,4158 is 1.
Lets's calculate GCF of 3671,4158
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3671,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 3671
:1,3671
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 3671,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 3671,4158 is 1.
Lets's calculate LCM of 998,670
| 2 | 998, 670 |
| 499, 335 |
∴ So the LCM of the given numbers is 2 x 499 x 335 = 334330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334330
Therefore, the GCF of Fractions 3671/998,4158/670 is 1/334330
Least Common Multiple of 998,670 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 998,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,670) x common factors =2 x 1 = 2
LCM(998,670) = ( 998 × 670 ) / 2
LCM(998,670) = 668660 / 2
LCM(998,670) = 334330
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FAQs on GCF of Fractions of 3671/998, 4158/670
1. What is the HCF of 3671,4158?
The HCF of 3671,4158 is 1
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 3671/998, 4158/670?
Answer: GCF of Numerators as per given numbers 3671/998, 4158/670 is
GCF of Numerators i.e. for 3671,4158 is 1
LCM of denominators i.e. for 998,670 is 334330.
Thus, GCF of Fractions is 1/334330.Finally, GCF of Fractions for 3671/998, 4158/670 is 1/334330.