Use our free GCF of Fractions Calculator tool to compute the GCF of 86/343, 506/429, 918/931 i.e 2/2795793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/343, 506/429, 918/931.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/343,506/429,918/931
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 86/343,506/429,918/931, numerators are 86,506,918
Denominators are 343,429,931
The GCF of 86,506,918 is 2 .
LCM of 343,429,931 is 2795793.
The greatest common factor of 86/343,506/429,918/931 = [GCF of 86,506,918]/[LCM of 343,429,931]= 2/2795793
Therefore, the GCF of 86/343,506/429,918/931 is 2/2795793.
To find the highest common factor of 86,506,918, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The HCF of 86,506,918 is 2.
Lets's calculate GCF of 86,506,918
2 | 86, 506, 918 |
43, 253, 459 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 86,506,918 . The biggest common factor number is the GCF number.
So the greatest common factor 86,506,918 is 2.
Lets's calculate LCM of 343,429,931
7 | 343, 429, 931 |
7 | 49, 429, 133 |
7, 429, 19 |
∴ So the LCM of the given numbers is 7 x 7 x 7 x 429 x 19 = 2795793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2795793
Therefore, the GCF of Fractions 86/343,506/429,918/931 is 2/2795793
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 343,429,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,429,931) = 1
common factors(in case of two or more numbers have common factors) = 49
GCF(343,429,931) x common factors =1 x 49 = 49
LCM(343,429,931) = ( 343 × 429 × 931 ) / 49
LCM(343,429,931) = 136993857 / 49
LCM(343,429,931) = 2795793
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 86,506,918?
The HCF of 86,506,918 is 2
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 86/343, 506/429, 918/931?
Answer: GCF of Numerators as per given numbers 86/343, 506/429, 918/931 is
GCF of Numerators i.e. for 86,506,918 is 2
LCM of denominators i.e. for 343,429,931 is 2795793.
Thus, GCF of Fractions is 2/2795793.Finally, GCF of Fractions for 86/343, 506/429, 918/931 is 2/2795793.