GCF of 3253/654, 1712/1558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3253/654, 1712/1558 i.e 1/509466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3253/654, 1712/1558.
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 3253/654,1712/1558?
Given fractions are 3253/654,1712/1558
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 3253/654,1712/1558, numerators are 3253,1712
Denominators are 654,1558
The GCF of 3253,1712 is 1 .
LCM of 654,1558 is 509466.
The greatest common factor of 3253/654,1712/1558 = [GCF of 3253,1712]/[LCM of 654,1558]= 1/509466
Therefore, the GCF of 3253/654,1712/1558 is 1/509466.
To find the highest common factor of 3253,1712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3253 are 1, 3253
The factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712
The HCF of 3253,1712 is 1.
Lets's calculate GCF of 3253,1712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3253,1712 By Matching Biggest Common Factor Method
Now, list down the factors of 3253
:1,3253
Now, list down the factors of 1712
:1,2,4,8,16,107,214,428,856,1712
Greatest Common Factor
We found the factors 3253,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 3253,1712 is 1.
Lets's calculate LCM of 654,1558
| 2 | 654, 1558 |
| 327, 779 |
∴ So the LCM of the given numbers is 2 x 327 x 779 = 509466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509466
Therefore, the GCF of Fractions 3253/654,1712/1558 is 1/509466
Least Common Multiple of 654,1558 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 654,1558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,1558) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,1558) x common factors =2 x 1 = 2
LCM(654,1558) = ( 654 × 1558 ) / 2
LCM(654,1558) = 1018932 / 2
LCM(654,1558) = 509466
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FAQs on GCF of Fractions of 3253/654, 1712/1558
1. What is the HCF of 3253,1712?
The HCF of 3253,1712 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 3253/654, 1712/1558?
Answer: GCF of Numerators as per given numbers 3253/654, 1712/1558 is
GCF of Numerators i.e. for 3253,1712 is 1
LCM of denominators i.e. for 654,1558 is 509466.
Thus, GCF of Fractions is 1/509466.Finally, GCF of Fractions for 3253/654, 1712/1558 is 1/509466.