GCF of 1458/674, 3336/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1458/674, 3336/136 i.e 6/45832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1458/674, 3336/136.
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 1458/674,3336/136?
Given fractions are 1458/674,3336/136
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 1458/674,3336/136, numerators are 1458,3336
Denominators are 674,136
The GCF of 1458,3336 is 6 .
LCM of 674,136 is 45832.
The greatest common factor of 1458/674,3336/136 = [GCF of 1458,3336]/[LCM of 674,136]= 6/45832
Therefore, the GCF of 1458/674,3336/136 is 6/45832.
To find the highest common factor of 1458,3336, we have to find the factors of both numbers and list the highest common factor.
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
The factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336
The HCF of 1458,3336 is 6.
Lets's calculate GCF of 1458,3336
| 2 | 1458, 3336 |
| 3 | 729, 1668 |
| 243, 556 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1458,3336 By Matching Biggest Common Factor Method
Now, list down the factors of 1458
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Now, list down the factors of 3336
:1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336
Greatest Common Factor
We found the factors 1458,3336 . The biggest common factor number is the GCF number.
So the greatest common factor 1458,3336 is 6.
Lets's calculate LCM of 674,136
| 2 | 674, 136 |
| 337, 68 |
∴ So the LCM of the given numbers is 2 x 337 x 68 = 45832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/45832
Therefore, the GCF of Fractions 1458/674,3336/136 is 6/45832
Least Common Multiple of 674,136 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 674,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,136) x common factors =2 x 1 = 2
LCM(674,136) = ( 674 × 136 ) / 2
LCM(674,136) = 91664 / 2
LCM(674,136) = 45832
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FAQs on GCF of Fractions of 1458/674, 3336/136
1. What is the HCF of 1458,3336?
The HCF of 1458,3336 is 6
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 1458/674, 3336/136?
Answer: GCF of Numerators as per given numbers 1458/674, 3336/136 is
GCF of Numerators i.e. for 1458,3336 is 6
LCM of denominators i.e. for 674,136 is 45832.
Thus, GCF of Fractions is 6/45832.Finally, GCF of Fractions for 1458/674, 3336/136 is 6/45832.