Use our free GCF of Fractions Calculator tool to compute the GCF of 707/689, 5858/841 i.e 101/579449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/689, 5858/841.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 707/689,5858/841
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 707/689,5858/841, numerators are 707,5858
Denominators are 689,841
The GCF of 707,5858 is 101 .
LCM of 689,841 is 579449.
The greatest common factor of 707/689,5858/841 = [GCF of 707,5858]/[LCM of 689,841]= 101/579449
Therefore, the GCF of 707/689,5858/841 is 101/579449.
To find the highest common factor of 707,5858, we have to find the factors of both numbers and list the highest common factor.
The factors of 707 are 1, 7, 101, 707
The factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858
The HCF of 707,5858 is 101.
Lets's calculate GCF of 707,5858
101 | 707, 5858 |
7, 58 |
∴ So the GCF of the given numbers is 101 = 101
Now, list down the factors of 707
:1,7,101,707
Now, list down the factors of 5858
:1,2,29,58,101,202,2929,5858
Greatest Common Factor
We found the factors 707,5858 . The biggest common factor number is the GCF number.
So the greatest common factor 707,5858 is 101.
Lets's calculate LCM of 689,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 579449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/579449
Therefore, the GCF of Fractions 707/689,5858/841 is 101/579449
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 689,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,841) x common factors =1 x 1 = 1
LCM(689,841) = ( 689 × 841 ) / 1
LCM(689,841) = 579449 / 1
LCM(689,841) = 579449
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 707,5858?
The HCF of 707,5858 is 101
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 707/689, 5858/841?
Answer: GCF of Numerators as per given numbers 707/689, 5858/841 is
GCF of Numerators i.e. for 707,5858 is 101
LCM of denominators i.e. for 689,841 is 579449.
Thus, GCF of Fractions is 101/579449.Finally, GCF of Fractions for 707/689, 5858/841 is 101/579449.