GCF of 1726/656, 2971/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1726/656, 2971/644 i.e 1/105616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1726/656, 2971/644.
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 1726/656,2971/644?
Given fractions are 1726/656,2971/644
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 1726/656,2971/644, numerators are 1726,2971
Denominators are 656,644
The GCF of 1726,2971 is 1 .
LCM of 656,644 is 105616.
The greatest common factor of 1726/656,2971/644 = [GCF of 1726,2971]/[LCM of 656,644]= 1/105616
Therefore, the GCF of 1726/656,2971/644 is 1/105616.
To find the highest common factor of 1726,2971, we have to find the factors of both numbers and list the highest common factor.
The factors of 1726 are 1, 2, 863, 1726
The factors of 2971 are 1, 2971
The HCF of 1726,2971 is 1.
Lets's calculate GCF of 1726,2971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1726,2971 By Matching Biggest Common Factor Method
Now, list down the factors of 1726
:1,2,863,1726
Now, list down the factors of 2971
:1,2971
Greatest Common Factor
We found the factors 1726,2971 . The biggest common factor number is the GCF number.
So the greatest common factor 1726,2971 is 1.
Lets's calculate LCM of 656,644
| 2 | 656, 644 |
| 2 | 328, 322 |
| 164, 161 |
∴ So the LCM of the given numbers is 2 x 2 x 164 x 161 = 105616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105616
Therefore, the GCF of Fractions 1726/656,2971/644 is 1/105616
Least Common Multiple of 656,644 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 656,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(656,644) x common factors =4 x 1 = 4
LCM(656,644) = ( 656 × 644 ) / 4
LCM(656,644) = 422464 / 4
LCM(656,644) = 105616
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FAQs on GCF of Fractions of 1726/656, 2971/644
1. What is the HCF of 1726,2971?
The HCF of 1726,2971 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 1726/656, 2971/644?
Answer: GCF of Numerators as per given numbers 1726/656, 2971/644 is
GCF of Numerators i.e. for 1726,2971 is 1
LCM of denominators i.e. for 656,644 is 105616.
Thus, GCF of Fractions is 1/105616.Finally, GCF of Fractions for 1726/656, 2971/644 is 1/105616.