Use our free GCF of Fractions Calculator tool to compute the GCF of 3/26, 85/59, 13/767, 980/947 i.e 1/1452698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/26, 85/59, 13/767, 980/947.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/26,85/59,13/767,980/947
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 3/26,85/59,13/767,980/947, numerators are 3,85,13,980
Denominators are 26,59,767,947
The GCF of 3,85,13,980 is 1 .
LCM of 26,59,767,947 is 1452698.
The greatest common factor of 3/26,85/59,13/767,980/947 = [GCF of 3,85,13,980]/[LCM of 26,59,767,947]= 1/1452698
Therefore, the GCF of 3/26,85/59,13/767,980/947 is 1/1452698.
To find the highest common factor of 3,85,13,980, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 85 are 1, 5, 17, 85
The factors of 13 are 1, 13
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The HCF of 3,85,13,980 is 1.
Lets's calculate GCF of 3,85,13,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 13
:1,13
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 3,85,13,980 . The biggest common factor number is the GCF number.
So the greatest common factor 3,85,13,980 is 1.
Lets's calculate LCM of 26,59,767,947
13 | 26, 59, 767, 947 |
59 | 2, 59, 59, 947 |
2, 1, 1, 947 |
∴ So the LCM of the given numbers is 13 x 59 x 2 x 1 x 1 x 947 = 1452698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1452698
Therefore, the GCF of Fractions 3/26,85/59,13/767,980/947 is 1/1452698
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 26,59,767,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,59,767,947) = 1
common factors(in case of two or more numbers have common factors) = 767
GCF(26,59,767,947) x common factors =1 x 767 = 767
LCM(26,59,767,947) = ( 26 × 59 × 767 × 947 ) / 767
LCM(26,59,767,947) = 1114219366 / 767
LCM(26,59,767,947) = 1452698
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,85,13,980?
The HCF of 3,85,13,980 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 3/26, 85/59, 13/767, 980/947?
Answer: GCF of Numerators as per given numbers 3/26, 85/59, 13/767, 980/947 is
GCF of Numerators i.e. for 3,85,13,980 is 1
LCM of denominators i.e. for 26,59,767,947 is 1452698.
Thus, GCF of Fractions is 1/1452698.Finally, GCF of Fractions for 3/26, 85/59, 13/767, 980/947 is 1/1452698.