Use our free GCF of Fractions Calculator tool to compute the GCF of 787/722, 8906/8840 i.e 1/3191240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 787/722, 8906/8840.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/722,8906/8840
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 787/722,8906/8840, numerators are 787,8906
Denominators are 722,8840
The GCF of 787,8906 is 1 .
LCM of 722,8840 is 3191240.
The greatest common factor of 787/722,8906/8840 = [GCF of 787,8906]/[LCM of 722,8840]= 1/3191240
Therefore, the GCF of 787/722,8906/8840 is 1/3191240.
To find the highest common factor of 787,8906, we have to find the factors of both numbers and list the highest common factor.
The factors of 787 are 1, 787
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The HCF of 787,8906 is 1.
Lets's calculate GCF of 787,8906
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 787
:1,787
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Greatest Common Factor
We found the factors 787,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 787,8906 is 1.
Lets's calculate LCM of 722,8840
2 | 722, 8840 |
361, 4420 |
∴ So the LCM of the given numbers is 2 x 361 x 4420 = 3191240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3191240
Therefore, the GCF of Fractions 787/722,8906/8840 is 1/3191240
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 722,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,8840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,8840) x common factors =2 x 1 = 2
LCM(722,8840) = ( 722 × 8840 ) / 2
LCM(722,8840) = 6382480 / 2
LCM(722,8840) = 3191240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 787,8906?
The HCF of 787,8906 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 787/722, 8906/8840?
Answer: GCF of Numerators as per given numbers 787/722, 8906/8840 is
GCF of Numerators i.e. for 787,8906 is 1
LCM of denominators i.e. for 722,8840 is 3191240.
Thus, GCF of Fractions is 1/3191240.Finally, GCF of Fractions for 787/722, 8906/8840 is 1/3191240.