Use our free GCF of Fractions Calculator tool to compute the GCF of 837/22, 467/374 i.e 1/374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 837/22, 467/374.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 837/22,467/374
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 837/22,467/374, numerators are 837,467
Denominators are 22,374
The GCF of 837,467 is 1 .
LCM of 22,374 is 374.
The greatest common factor of 837/22,467/374 = [GCF of 837,467]/[LCM of 22,374]= 1/374
Therefore, the GCF of 837/22,467/374 is 1/374.
To find the highest common factor of 837,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837
The factors of 467 are 1, 467
The HCF of 837,467 is 1.
Lets's calculate GCF of 837,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 837
:1,3,9,27,31,93,279,837
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 837,467 . The biggest common factor number is the GCF number.
So the greatest common factor 837,467 is 1.
Lets's calculate LCM of 22,374
2 | 22, 374 |
11 | 11, 187 |
1, 17 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 17 = 374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374
Therefore, the GCF of Fractions 837/22,467/374 is 1/374
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 22,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,374) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(22,374) x common factors =22 x 1 = 22
LCM(22,374) = ( 22 × 374 ) / 22
LCM(22,374) = 8228 / 22
LCM(22,374) = 374
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 837,467?
The HCF of 837,467 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 837/22, 467/374?
Answer: GCF of Numerators as per given numbers 837/22, 467/374 is
GCF of Numerators i.e. for 837,467 is 1
LCM of denominators i.e. for 22,374 is 374.
Thus, GCF of Fractions is 1/374.Finally, GCF of Fractions for 837/22, 467/374 is 1/374.