Use our free GCF of Fractions Calculator tool to compute the GCF of 851/707, 467/105 i.e 1/10605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/707, 467/105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/707,467/105
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 851/707,467/105, numerators are 851,467
Denominators are 707,105
The GCF of 851,467 is 1 .
LCM of 707,105 is 10605.
The greatest common factor of 851/707,467/105 = [GCF of 851,467]/[LCM of 707,105]= 1/10605
Therefore, the GCF of 851/707,467/105 is 1/10605.
To find the highest common factor of 851,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 467 are 1, 467
The HCF of 851,467 is 1.
Lets's calculate GCF of 851,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 851,467 . The biggest common factor number is the GCF number.
So the greatest common factor 851,467 is 1.
Lets's calculate LCM of 707,105
7 | 707, 105 |
101, 15 |
∴ So the LCM of the given numbers is 7 x 101 x 15 = 10605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10605
Therefore, the GCF of Fractions 851/707,467/105 is 1/10605
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 707,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,105) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,105) x common factors =7 x 1 = 7
LCM(707,105) = ( 707 × 105 ) / 7
LCM(707,105) = 74235 / 7
LCM(707,105) = 10605
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 851,467?
The HCF of 851,467 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 851/707, 467/105?
Answer: GCF of Numerators as per given numbers 851/707, 467/105 is
GCF of Numerators i.e. for 851,467 is 1
LCM of denominators i.e. for 707,105 is 10605.
Thus, GCF of Fractions is 1/10605.Finally, GCF of Fractions for 851/707, 467/105 is 1/10605.