GCF of 651/650, 1614/749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 651/650, 1614/749 i.e 3/486850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 651/650, 1614/749.
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 651/650,1614/749?
Given fractions are 651/650,1614/749
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 651/650,1614/749, numerators are 651,1614
Denominators are 650,749
The GCF of 651,1614 is 3 .
LCM of 650,749 is 486850.
The greatest common factor of 651/650,1614/749 = [GCF of 651,1614]/[LCM of 650,749]= 3/486850
Therefore, the GCF of 651/650,1614/749 is 3/486850.
To find the highest common factor of 651,1614, we have to find the factors of both numbers and list the highest common factor.
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The HCF of 651,1614 is 3.
Lets's calculate GCF of 651,1614
| 3 | 651, 1614 |
| 217, 538 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 651,1614 By Matching Biggest Common Factor Method
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 651,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 651,1614 is 3.
Lets's calculate LCM of 650,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 486850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/486850
Therefore, the GCF of Fractions 651/650,1614/749 is 3/486850
Least Common Multiple of 650,749 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 650,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,749) x common factors =1 x 1 = 1
LCM(650,749) = ( 650 × 749 ) / 1
LCM(650,749) = 486850 / 1
LCM(650,749) = 486850
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FAQs on GCF of Fractions of 651/650, 1614/749
1. What is the HCF of 651,1614?
The HCF of 651,1614 is 3
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 651/650, 1614/749?
Answer: GCF of Numerators as per given numbers 651/650, 1614/749 is
GCF of Numerators i.e. for 651,1614 is 3
LCM of denominators i.e. for 650,749 is 486850.
Thus, GCF of Fractions is 3/486850.Finally, GCF of Fractions for 651/650, 1614/749 is 3/486850.