Use our free GCF of Fractions Calculator tool to compute the GCF of 139/975, 940/689 i.e 1/51675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/975, 940/689.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 139/975,940/689
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 139/975,940/689, numerators are 139,940
Denominators are 975,689
The GCF of 139,940 is 1 .
LCM of 975,689 is 51675.
The greatest common factor of 139/975,940/689 = [GCF of 139,940]/[LCM of 975,689]= 1/51675
Therefore, the GCF of 139/975,940/689 is 1/51675.
To find the highest common factor of 139,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 139 are 1, 139
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 139,940 is 1.
Lets's calculate GCF of 139,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 139
:1,139
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 139,940 . The biggest common factor number is the GCF number.
So the greatest common factor 139,940 is 1.
Lets's calculate LCM of 975,689
13 | 975, 689 |
75, 53 |
∴ So the LCM of the given numbers is 13 x 75 x 53 = 51675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51675
Therefore, the GCF of Fractions 139/975,940/689 is 1/51675
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 975,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,689) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(975,689) x common factors =13 x 1 = 13
LCM(975,689) = ( 975 × 689 ) / 13
LCM(975,689) = 671775 / 13
LCM(975,689) = 51675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 139,940?
The HCF of 139,940 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 139/975, 940/689?
Answer: GCF of Numerators as per given numbers 139/975, 940/689 is
GCF of Numerators i.e. for 139,940 is 1
LCM of denominators i.e. for 975,689 is 51675.
Thus, GCF of Fractions is 1/51675.Finally, GCF of Fractions for 139/975, 940/689 is 1/51675.