GCF of 343/62, 687/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 343/62, 687/410 i.e 1/12710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 343/62, 687/410.
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 343/62,687/410?
Given fractions are 343/62,687/410
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 343/62,687/410, numerators are 343,687
Denominators are 62,410
The GCF of 343,687 is 1 .
LCM of 62,410 is 12710.
The greatest common factor of 343/62,687/410 = [GCF of 343,687]/[LCM of 62,410]= 1/12710
Therefore, the GCF of 343/62,687/410 is 1/12710.
To find the highest common factor of 343,687, we have to find the factors of both numbers and list the highest common factor.
The factors of 343 are 1, 7, 49, 343
The factors of 687 are 1, 3, 229, 687
The HCF of 343,687 is 1.
Lets's calculate GCF of 343,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 343,687 By Matching Biggest Common Factor Method
Now, list down the factors of 343
:1,7,49,343
Now, list down the factors of 687
:1,3,229,687
Greatest Common Factor
We found the factors 343,687 . The biggest common factor number is the GCF number.
So the greatest common factor 343,687 is 1.
Lets's calculate LCM of 62,410
| 2 | 62, 410 |
| 31, 205 |
∴ So the LCM of the given numbers is 2 x 31 x 205 = 12710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12710
Therefore, the GCF of Fractions 343/62,687/410 is 1/12710
Least Common Multiple of 62,410 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 62,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,410) x common factors =2 x 1 = 2
LCM(62,410) = ( 62 × 410 ) / 2
LCM(62,410) = 25420 / 2
LCM(62,410) = 12710
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FAQs on GCF of Fractions of 343/62, 687/410
1. What is the HCF of 343,687?
The HCF of 343,687 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 343/62, 687/410?
Answer: GCF of Numerators as per given numbers 343/62, 687/410 is
GCF of Numerators i.e. for 343,687 is 1
LCM of denominators i.e. for 62,410 is 12710.
Thus, GCF of Fractions is 1/12710.Finally, GCF of Fractions for 343/62, 687/410 is 1/12710.