Use our free GCF of Fractions Calculator tool to compute the GCF of 69/246, 892/615, 141/699 i.e 1/286590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/246, 892/615, 141/699.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/246,892/615,141/699
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 69/246,892/615,141/699, numerators are 69,892,141
Denominators are 246,615,699
The GCF of 69,892,141 is 1 .
LCM of 246,615,699 is 286590.
The greatest common factor of 69/246,892/615,141/699 = [GCF of 69,892,141]/[LCM of 246,615,699]= 1/286590
Therefore, the GCF of 69/246,892/615,141/699 is 1/286590.
To find the highest common factor of 69,892,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 892 are 1, 2, 4, 223, 446, 892
The factors of 141 are 1, 3, 47, 141
The HCF of 69,892,141 is 1.
Lets's calculate GCF of 69,892,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 892
:1,2,4,223,446,892
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 69,892,141 . The biggest common factor number is the GCF number.
So the greatest common factor 69,892,141 is 1.
Lets's calculate LCM of 246,615,699
3 | 246, 615, 699 |
41 | 82, 205, 233 |
2, 5, 233 |
∴ So the LCM of the given numbers is 3 x 41 x 2 x 5 x 233 = 286590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286590
Therefore, the GCF of Fractions 69/246,892/615,141/699 is 1/286590
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 246,615,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,615,699) = 3
common factors(in case of two or more numbers have common factors) = 123
GCF(246,615,699) x common factors =3 x 123 = 369
LCM(246,615,699) = ( 246 × 615 × 699 ) / 369
LCM(246,615,699) = 105751710 / 369
LCM(246,615,699) = 286590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,892,141?
The HCF of 69,892,141 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 69/246, 892/615, 141/699?
Answer: GCF of Numerators as per given numbers 69/246, 892/615, 141/699 is
GCF of Numerators i.e. for 69,892,141 is 1
LCM of denominators i.e. for 246,615,699 is 286590.
Thus, GCF of Fractions is 1/286590.Finally, GCF of Fractions for 69/246, 892/615, 141/699 is 1/286590.