GCF of 3742/757, 9342/6161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3742/757, 9342/6161 i.e 2/4663877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3742/757, 9342/6161.
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 3742/757,9342/6161?
Given fractions are 3742/757,9342/6161
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 3742/757,9342/6161, numerators are 3742,9342
Denominators are 757,6161
The GCF of 3742,9342 is 2 .
LCM of 757,6161 is 4663877.
The greatest common factor of 3742/757,9342/6161 = [GCF of 3742,9342]/[LCM of 757,6161]= 2/4663877
Therefore, the GCF of 3742/757,9342/6161 is 2/4663877.
To find the highest common factor of 3742,9342, we have to find the factors of both numbers and list the highest common factor.
The factors of 3742 are 1, 2, 1871, 3742
The factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342
The HCF of 3742,9342 is 2.
Lets's calculate GCF of 3742,9342
| 2 | 3742, 9342 |
| 1871, 4671 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3742,9342 By Matching Biggest Common Factor Method
Now, list down the factors of 3742
:1,2,1871,3742
Now, list down the factors of 9342
:1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342
Greatest Common Factor
We found the factors 3742,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 3742,9342 is 2.
Lets's calculate LCM of 757,6161
Given numbers has no common factors except 1. So, there LCM is their product i.e 4663877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4663877
Therefore, the GCF of Fractions 3742/757,9342/6161 is 2/4663877
Least Common Multiple of 757,6161 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 757,6161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,6161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,6161) x common factors =1 x 1 = 1
LCM(757,6161) = ( 757 × 6161 ) / 1
LCM(757,6161) = 4663877 / 1
LCM(757,6161) = 4663877
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FAQs on GCF of Fractions of 3742/757, 9342/6161
1. What is the HCF of 3742,9342?
The HCF of 3742,9342 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 3742/757, 9342/6161?
Answer: GCF of Numerators as per given numbers 3742/757, 9342/6161 is
GCF of Numerators i.e. for 3742,9342 is 2
LCM of denominators i.e. for 757,6161 is 4663877.
Thus, GCF of Fractions is 2/4663877.Finally, GCF of Fractions for 3742/757, 9342/6161 is 2/4663877.