Use our free GCF of Fractions Calculator tool to compute the GCF of 658/369, 276/833 i.e 2/307377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 658/369, 276/833.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 658/369,276/833
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 658/369,276/833, numerators are 658,276
Denominators are 369,833
The GCF of 658,276 is 2 .
LCM of 369,833 is 307377.
The greatest common factor of 658/369,276/833 = [GCF of 658,276]/[LCM of 369,833]= 2/307377
Therefore, the GCF of 658/369,276/833 is 2/307377.
To find the highest common factor of 658,276, we have to find the factors of both numbers and list the highest common factor.
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 658,276 is 2.
Lets's calculate GCF of 658,276
2 | 658, 276 |
329, 138 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 658,276 . The biggest common factor number is the GCF number.
So the greatest common factor 658,276 is 2.
Lets's calculate LCM of 369,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 307377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/307377
Therefore, the GCF of Fractions 658/369,276/833 is 2/307377
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 369,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,833) x common factors =1 x 1 = 1
LCM(369,833) = ( 369 × 833 ) / 1
LCM(369,833) = 307377 / 1
LCM(369,833) = 307377
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 658,276?
The HCF of 658,276 is 2
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 658/369, 276/833?
Answer: GCF of Numerators as per given numbers 658/369, 276/833 is
GCF of Numerators i.e. for 658,276 is 2
LCM of denominators i.e. for 369,833 is 307377.
Thus, GCF of Fractions is 2/307377.Finally, GCF of Fractions for 658/369, 276/833 is 2/307377.