GCF of 9158/674, 1744/7364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9158/674, 1744/7364 i.e 2/2481668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9158/674, 1744/7364.
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 9158/674,1744/7364?
Given fractions are 9158/674,1744/7364
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 9158/674,1744/7364, numerators are 9158,1744
Denominators are 674,7364
The GCF of 9158,1744 is 2 .
LCM of 674,7364 is 2481668.
The greatest common factor of 9158/674,1744/7364 = [GCF of 9158,1744]/[LCM of 674,7364]= 2/2481668
Therefore, the GCF of 9158/674,1744/7364 is 2/2481668.
To find the highest common factor of 9158,1744, we have to find the factors of both numbers and list the highest common factor.
The factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158
The factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744
The HCF of 9158,1744 is 2.
Lets's calculate GCF of 9158,1744
| 2 | 9158, 1744 |
| 4579, 872 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9158,1744 By Matching Biggest Common Factor Method
Now, list down the factors of 9158
:1,2,19,38,241,482,4579,9158
Now, list down the factors of 1744
:1,2,4,8,16,109,218,436,872,1744
Greatest Common Factor
We found the factors 9158,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 9158,1744 is 2.
Lets's calculate LCM of 674,7364
| 2 | 674, 7364 |
| 337, 3682 |
∴ So the LCM of the given numbers is 2 x 337 x 3682 = 2481668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2481668
Therefore, the GCF of Fractions 9158/674,1744/7364 is 2/2481668
Least Common Multiple of 674,7364 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 674,7364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,7364) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,7364) x common factors =2 x 1 = 2
LCM(674,7364) = ( 674 × 7364 ) / 2
LCM(674,7364) = 4963336 / 2
LCM(674,7364) = 2481668
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FAQs on GCF of Fractions of 9158/674, 1744/7364
1. What is the HCF of 9158,1744?
The HCF of 9158,1744 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 9158/674, 1744/7364?
Answer: GCF of Numerators as per given numbers 9158/674, 1744/7364 is
GCF of Numerators i.e. for 9158,1744 is 2
LCM of denominators i.e. for 674,7364 is 2481668.
Thus, GCF of Fractions is 2/2481668.Finally, GCF of Fractions for 9158/674, 1744/7364 is 2/2481668.