Use our free GCF of Fractions Calculator tool to compute the GCF of 58/724, 841/593, 870/767 i.e 29/329297644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/724, 841/593, 870/767.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/724,841/593,870/767
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 58/724,841/593,870/767, numerators are 58,841,870
Denominators are 724,593,767
The GCF of 58,841,870 is 29 .
LCM of 724,593,767 is 329297644.
The greatest common factor of 58/724,841/593,870/767 = [GCF of 58,841,870]/[LCM of 724,593,767]= 29/329297644
Therefore, the GCF of 58/724,841/593,870/767 is 29/329297644.
To find the highest common factor of 58,841,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 58 are 1, 2, 29, 58
The factors of 841 are 1, 29, 841
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 58,841,870 is 29.
Lets's calculate GCF of 58,841,870
29 | 58, 841, 870 |
2, 29, 30 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 841
:1,29,841
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 58,841,870 . The biggest common factor number is the GCF number.
So the greatest common factor 58,841,870 is 29.
Lets's calculate LCM of 724,593,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 329297644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/329297644
Therefore, the GCF of Fractions 58/724,841/593,870/767 is 29/329297644
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 724,593,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,593,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,593,767) x common factors =1 x 1 = 1
LCM(724,593,767) = ( 724 × 593 × 767 ) / 1
LCM(724,593,767) = 329297644 / 1
LCM(724,593,767) = 329297644
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 58,841,870?
The HCF of 58,841,870 is 29
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 58/724, 841/593, 870/767?
Answer: GCF of Numerators as per given numbers 58/724, 841/593, 870/767 is
GCF of Numerators i.e. for 58,841,870 is 29
LCM of denominators i.e. for 724,593,767 is 329297644.
Thus, GCF of Fractions is 29/329297644.Finally, GCF of Fractions for 58/724, 841/593, 870/767 is 29/329297644.