Use our free GCF of Fractions Calculator tool to compute the GCF of 39/125, 98/654, 929/378 i.e 1/5150250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/125, 98/654, 929/378.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/125,98/654,929/378
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 39/125,98/654,929/378, numerators are 39,98,929
Denominators are 125,654,378
The GCF of 39,98,929 is 1 .
LCM of 125,654,378 is 5150250.
The greatest common factor of 39/125,98/654,929/378 = [GCF of 39,98,929]/[LCM of 125,654,378]= 1/5150250
Therefore, the GCF of 39/125,98/654,929/378 is 1/5150250.
To find the highest common factor of 39,98,929, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 929 are 1, 929
The HCF of 39,98,929 is 1.
Lets's calculate GCF of 39,98,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 929
:1,929
Greatest Common Factor
We found the factors 39,98,929 . The biggest common factor number is the GCF number.
So the greatest common factor 39,98,929 is 1.
Lets's calculate LCM of 125,654,378
2 | 125, 654, 378 |
3 | 125, 327, 189 |
125, 109, 63 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 109 x 63 = 5150250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5150250
Therefore, the GCF of Fractions 39/125,98/654,929/378 is 1/5150250
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 125,654,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,654,378) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(125,654,378) x common factors =1 x 6 = 6
LCM(125,654,378) = ( 125 × 654 × 378 ) / 6
LCM(125,654,378) = 30901500 / 6
LCM(125,654,378) = 5150250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,98,929?
The HCF of 39,98,929 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 39/125, 98/654, 929/378?
Answer: GCF of Numerators as per given numbers 39/125, 98/654, 929/378 is
GCF of Numerators i.e. for 39,98,929 is 1
LCM of denominators i.e. for 125,654,378 is 5150250.
Thus, GCF of Fractions is 1/5150250.Finally, GCF of Fractions for 39/125, 98/654, 929/378 is 1/5150250.