Use our free GCF of Fractions Calculator tool to compute the GCF of 364/873, 910/672 i.e 182/195552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/873, 910/672.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/873,910/672
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 364/873,910/672, numerators are 364,910
Denominators are 873,672
The GCF of 364,910 is 182 .
LCM of 873,672 is 195552.
The greatest common factor of 364/873,910/672 = [GCF of 364,910]/[LCM of 873,672]= 182/195552
Therefore, the GCF of 364/873,910/672 is 182/195552.
To find the highest common factor of 364,910, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The HCF of 364,910 is 182.
Lets's calculate GCF of 364,910
2 | 364, 910 |
7 | 182, 455 |
13 | 26, 65 |
2, 5 |
∴ So the GCF of the given numbers is 2 x 7 x 13 = 182
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 364,910 . The biggest common factor number is the GCF number.
So the greatest common factor 364,910 is 182.
Lets's calculate LCM of 873,672
3 | 873, 672 |
291, 224 |
∴ So the LCM of the given numbers is 3 x 291 x 224 = 195552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 182/195552
Therefore, the GCF of Fractions 364/873,910/672 is 182/195552
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 873,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,672) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,672) x common factors =3 x 1 = 3
LCM(873,672) = ( 873 × 672 ) / 3
LCM(873,672) = 586656 / 3
LCM(873,672) = 195552
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 364,910?
The HCF of 364,910 is 182
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 364/873, 910/672?
Answer: GCF of Numerators as per given numbers 364/873, 910/672 is
GCF of Numerators i.e. for 364,910 is 182
LCM of denominators i.e. for 873,672 is 195552.
Thus, GCF of Fractions is 182/195552.Finally, GCF of Fractions for 364/873, 910/672 is 182/195552.