Use our free GCF of Fractions Calculator tool to compute the GCF of 6/87, 46/24, 90/682, 642/444 i.e 2/8781432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/87, 46/24, 90/682, 642/444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/87,46/24,90/682,642/444
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 6/87,46/24,90/682,642/444, numerators are 6,46,90,642
Denominators are 87,24,682,444
The GCF of 6,46,90,642 is 2 .
LCM of 87,24,682,444 is 8781432.
The greatest common factor of 6/87,46/24,90/682,642/444 = [GCF of 6,46,90,642]/[LCM of 87,24,682,444]= 2/8781432
Therefore, the GCF of 6/87,46/24,90/682,642/444 is 2/8781432.
To find the highest common factor of 6,46,90,642, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 46 are 1, 2, 23, 46
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642
The HCF of 6,46,90,642 is 2.
Lets's calculate GCF of 6,46,90,642
2 | 6, 46, 90, 642 |
3, 23, 45, 321 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 642
:1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 6,46,90,642 . The biggest common factor number is the GCF number.
So the greatest common factor 6,46,90,642 is 2.
Lets's calculate LCM of 87,24,682,444
2 | 87, 24, 682, 444 |
2 | 87, 12, 341, 222 |
3 | 87, 6, 341, 111 |
29, 2, 341, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 2 x 341 x 37 = 8781432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8781432
Therefore, the GCF of Fractions 6/87,46/24,90/682,642/444 is 2/8781432
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 87,24,682,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,24,682,444) = 1
common factors(in case of two or more numbers have common factors) = 72
GCF(87,24,682,444) x common factors =1 x 72 = 72
LCM(87,24,682,444) = ( 87 × 24 × 682 × 444 ) / 72
LCM(87,24,682,444) = 632263104 / 72
LCM(87,24,682,444) = 8781432
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,46,90,642?
The HCF of 6,46,90,642 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 6/87, 46/24, 90/682, 642/444?
Answer: GCF of Numerators as per given numbers 6/87, 46/24, 90/682, 642/444 is
GCF of Numerators i.e. for 6,46,90,642 is 2
LCM of denominators i.e. for 87,24,682,444 is 8781432.
Thus, GCF of Fractions is 2/8781432.Finally, GCF of Fractions for 6/87, 46/24, 90/682, 642/444 is 2/8781432.