Use our free GCF of Fractions Calculator tool to compute the GCF of 634/877, 464/107 i.e 2/93839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 634/877, 464/107.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 634/877,464/107
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 634/877,464/107, numerators are 634,464
Denominators are 877,107
The GCF of 634,464 is 2 .
LCM of 877,107 is 93839.
The greatest common factor of 634/877,464/107 = [GCF of 634,464]/[LCM of 877,107]= 2/93839
Therefore, the GCF of 634/877,464/107 is 2/93839.
To find the highest common factor of 634,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 634 are 1, 2, 317, 634
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 634,464 is 2.
Lets's calculate GCF of 634,464
2 | 634, 464 |
317, 232 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 634
:1,2,317,634
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 634,464 . The biggest common factor number is the GCF number.
So the greatest common factor 634,464 is 2.
Lets's calculate LCM of 877,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 93839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93839
Therefore, the GCF of Fractions 634/877,464/107 is 2/93839
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 877,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,107) x common factors =1 x 1 = 1
LCM(877,107) = ( 877 × 107 ) / 1
LCM(877,107) = 93839 / 1
LCM(877,107) = 93839
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 634,464?
The HCF of 634,464 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 634/877, 464/107?
Answer: GCF of Numerators as per given numbers 634/877, 464/107 is
GCF of Numerators i.e. for 634,464 is 2
LCM of denominators i.e. for 877,107 is 93839.
Thus, GCF of Fractions is 2/93839.Finally, GCF of Fractions for 634/877, 464/107 is 2/93839.