GCF of 1451/676, 1685/7226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1451/676, 1685/7226 i.e 1/2442388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1451/676, 1685/7226.
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 1451/676,1685/7226?
Given fractions are 1451/676,1685/7226
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 1451/676,1685/7226, numerators are 1451,1685
Denominators are 676,7226
The GCF of 1451,1685 is 1 .
LCM of 676,7226 is 2442388.
The greatest common factor of 1451/676,1685/7226 = [GCF of 1451,1685]/[LCM of 676,7226]= 1/2442388
Therefore, the GCF of 1451/676,1685/7226 is 1/2442388.
To find the highest common factor of 1451,1685, we have to find the factors of both numbers and list the highest common factor.
The factors of 1451 are 1, 1451
The factors of 1685 are 1, 5, 337, 1685
The HCF of 1451,1685 is 1.
Lets's calculate GCF of 1451,1685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1451,1685 By Matching Biggest Common Factor Method
Now, list down the factors of 1451
:1,1451
Now, list down the factors of 1685
:1,5,337,1685
Greatest Common Factor
We found the factors 1451,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 1451,1685 is 1.
Lets's calculate LCM of 676,7226
| 2 | 676, 7226 |
| 338, 3613 |
∴ So the LCM of the given numbers is 2 x 338 x 3613 = 2442388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2442388
Therefore, the GCF of Fractions 1451/676,1685/7226 is 1/2442388
Least Common Multiple of 676,7226 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 676,7226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,7226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,7226) x common factors =2 x 1 = 2
LCM(676,7226) = ( 676 × 7226 ) / 2
LCM(676,7226) = 4884776 / 2
LCM(676,7226) = 2442388
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FAQs on GCF of Fractions of 1451/676, 1685/7226
1. What is the HCF of 1451,1685?
The HCF of 1451,1685 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 1451/676, 1685/7226?
Answer: GCF of Numerators as per given numbers 1451/676, 1685/7226 is
GCF of Numerators i.e. for 1451,1685 is 1
LCM of denominators i.e. for 676,7226 is 2442388.
Thus, GCF of Fractions is 1/2442388.Finally, GCF of Fractions for 1451/676, 1685/7226 is 1/2442388.