GCF of 3415/847, 3665/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3415/847, 3665/749 i.e 5/90629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3415/847, 3665/749.
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 3415/847,3665/749?
Given fractions are 3415/847,3665/749
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 3415/847,3665/749, numerators are 3415,3665
Denominators are 847,749
The GCF of 3415,3665 is 5 .
LCM of 847,749 is 90629.
The greatest common factor of 3415/847,3665/749 = [GCF of 3415,3665]/[LCM of 847,749]= 5/90629
Therefore, the GCF of 3415/847,3665/749 is 5/90629.
To find the highest common factor of 3415,3665, we have to find the factors of both numbers and list the highest common factor.
The factors of 3415 are 1, 5, 683, 3415
The factors of 3665 are 1, 5, 733, 3665
The HCF of 3415,3665 is 5.
Lets's calculate GCF of 3415,3665
| 5 | 3415, 3665 |
| 683, 733 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3415,3665 By Matching Biggest Common Factor Method
Now, list down the factors of 3415
:1,5,683,3415
Now, list down the factors of 3665
:1,5,733,3665
Greatest Common Factor
We found the factors 3415,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 3415,3665 is 5.
Lets's calculate LCM of 847,749
| 7 | 847, 749 |
| 121, 107 |
∴ So the LCM of the given numbers is 7 x 121 x 107 = 90629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/90629
Therefore, the GCF of Fractions 3415/847,3665/749 is 5/90629
Least Common Multiple of 847,749 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 847,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,749) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(847,749) x common factors =7 x 1 = 7
LCM(847,749) = ( 847 × 749 ) / 7
LCM(847,749) = 634403 / 7
LCM(847,749) = 90629
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FAQs on GCF of Fractions of 3415/847, 3665/749
1. What is the HCF of 3415,3665?
The HCF of 3415,3665 is 5
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 3415/847, 3665/749?
Answer: GCF of Numerators as per given numbers 3415/847, 3665/749 is
GCF of Numerators i.e. for 3415,3665 is 5
LCM of denominators i.e. for 847,749 is 90629.
Thus, GCF of Fractions is 5/90629.Finally, GCF of Fractions for 3415/847, 3665/749 is 5/90629.