GCF of 3646/758, 5142/3697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3646/758, 5142/3697 i.e 2/2802326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3646/758, 5142/3697.
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 3646/758,5142/3697?
Given fractions are 3646/758,5142/3697
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 3646/758,5142/3697, numerators are 3646,5142
Denominators are 758,3697
The GCF of 3646,5142 is 2 .
LCM of 758,3697 is 2802326.
The greatest common factor of 3646/758,5142/3697 = [GCF of 3646,5142]/[LCM of 758,3697]= 2/2802326
Therefore, the GCF of 3646/758,5142/3697 is 2/2802326.
To find the highest common factor of 3646,5142, we have to find the factors of both numbers and list the highest common factor.
The factors of 3646 are 1, 2, 1823, 3646
The factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142
The HCF of 3646,5142 is 2.
Lets's calculate GCF of 3646,5142
| 2 | 3646, 5142 |
| 1823, 2571 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3646,5142 By Matching Biggest Common Factor Method
Now, list down the factors of 3646
:1,2,1823,3646
Now, list down the factors of 5142
:1,2,3,6,857,1714,2571,5142
Greatest Common Factor
We found the factors 3646,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 3646,5142 is 2.
Lets's calculate LCM of 758,3697
Given numbers has no common factors except 1. So, there LCM is their product i.e 2802326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2802326
Therefore, the GCF of Fractions 3646/758,5142/3697 is 2/2802326
Least Common Multiple of 758,3697 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 758,3697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,3697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,3697) x common factors =1 x 1 = 1
LCM(758,3697) = ( 758 × 3697 ) / 1
LCM(758,3697) = 2802326 / 1
LCM(758,3697) = 2802326
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FAQs on GCF of Fractions of 3646/758, 5142/3697
1. What is the HCF of 3646,5142?
The HCF of 3646,5142 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 3646/758, 5142/3697?
Answer: GCF of Numerators as per given numbers 3646/758, 5142/3697 is
GCF of Numerators i.e. for 3646,5142 is 2
LCM of denominators i.e. for 758,3697 is 2802326.
Thus, GCF of Fractions is 2/2802326.Finally, GCF of Fractions for 3646/758, 5142/3697 is 2/2802326.