Use our free GCF of Fractions Calculator tool to compute the GCF of 85/677, 79/953, 870/144 i.e 1/92906064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/677, 79/953, 870/144.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/677,79/953,870/144
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 85/677,79/953,870/144, numerators are 85,79,870
Denominators are 677,953,144
The GCF of 85,79,870 is 1 .
LCM of 677,953,144 is 92906064.
The greatest common factor of 85/677,79/953,870/144 = [GCF of 85,79,870]/[LCM of 677,953,144]= 1/92906064
Therefore, the GCF of 85/677,79/953,870/144 is 1/92906064.
To find the highest common factor of 85,79,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 79 are 1, 79
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 85,79,870 is 1.
Lets's calculate GCF of 85,79,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 79
:1,79
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 85,79,870 . The biggest common factor number is the GCF number.
So the greatest common factor 85,79,870 is 1.
Lets's calculate LCM of 677,953,144
Given numbers has no common factors except 1. So, there LCM is their product i.e 92906064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92906064
Therefore, the GCF of Fractions 85/677,79/953,870/144 is 1/92906064
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 677,953,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,953,144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,953,144) x common factors =1 x 1 = 1
LCM(677,953,144) = ( 677 × 953 × 144 ) / 1
LCM(677,953,144) = 92906064 / 1
LCM(677,953,144) = 92906064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 85,79,870?
The HCF of 85,79,870 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 85/677, 79/953, 870/144?
Answer: GCF of Numerators as per given numbers 85/677, 79/953, 870/144 is
GCF of Numerators i.e. for 85,79,870 is 1
LCM of denominators i.e. for 677,953,144 is 92906064.
Thus, GCF of Fractions is 1/92906064.Finally, GCF of Fractions for 85/677, 79/953, 870/144 is 1/92906064.