GCF of 8253/614, 3671/2614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8253/614, 3671/2614 i.e 1/802498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8253/614, 3671/2614.
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 8253/614,3671/2614?
Given fractions are 8253/614,3671/2614
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 8253/614,3671/2614, numerators are 8253,3671
Denominators are 614,2614
The GCF of 8253,3671 is 1 .
LCM of 614,2614 is 802498.
The greatest common factor of 8253/614,3671/2614 = [GCF of 8253,3671]/[LCM of 614,2614]= 1/802498
Therefore, the GCF of 8253/614,3671/2614 is 1/802498.
To find the highest common factor of 8253,3671, we have to find the factors of both numbers and list the highest common factor.
The factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253
The factors of 3671 are 1, 3671
The HCF of 8253,3671 is 1.
Lets's calculate GCF of 8253,3671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8253,3671 By Matching Biggest Common Factor Method
Now, list down the factors of 8253
:1,3,7,9,21,63,131,393,917,1179,2751,8253
Now, list down the factors of 3671
:1,3671
Greatest Common Factor
We found the factors 8253,3671 . The biggest common factor number is the GCF number.
So the greatest common factor 8253,3671 is 1.
Lets's calculate LCM of 614,2614
| 2 | 614, 2614 |
| 307, 1307 |
∴ So the LCM of the given numbers is 2 x 307 x 1307 = 802498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802498
Therefore, the GCF of Fractions 8253/614,3671/2614 is 1/802498
Least Common Multiple of 614,2614 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 614,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,2614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,2614) x common factors =2 x 1 = 2
LCM(614,2614) = ( 614 × 2614 ) / 2
LCM(614,2614) = 1604996 / 2
LCM(614,2614) = 802498
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FAQs on GCF of Fractions of 8253/614, 3671/2614
1. What is the HCF of 8253,3671?
The HCF of 8253,3671 is 1
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 8253/614, 3671/2614?
Answer: GCF of Numerators as per given numbers 8253/614, 3671/2614 is
GCF of Numerators i.e. for 8253,3671 is 1
LCM of denominators i.e. for 614,2614 is 802498.
Thus, GCF of Fractions is 1/802498.Finally, GCF of Fractions for 8253/614, 3671/2614 is 1/802498.