Use our free GCF of Fractions Calculator tool to compute the GCF of 6/70, 86/41, 24/782, 682/930 i.e 2/104361810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/70, 86/41, 24/782, 682/930.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/70,86/41,24/782,682/930
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 6/70,86/41,24/782,682/930, numerators are 6,86,24,682
Denominators are 70,41,782,930
The GCF of 6,86,24,682 is 2 .
LCM of 70,41,782,930 is 104361810.
The greatest common factor of 6/70,86/41,24/782,682/930 = [GCF of 6,86,24,682]/[LCM of 70,41,782,930]= 2/104361810
Therefore, the GCF of 6/70,86/41,24/782,682/930 is 2/104361810.
To find the highest common factor of 6,86,24,682, 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 86 are 1, 2, 43, 86
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 6,86,24,682 is 2.
Lets's calculate GCF of 6,86,24,682
2 | 6, 86, 24, 682 |
3, 43, 12, 341 |
∴ 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 86
:1,2,43,86
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 6,86,24,682 . The biggest common factor number is the GCF number.
So the greatest common factor 6,86,24,682 is 2.
Lets's calculate LCM of 70,41,782,930
2 | 70, 41, 782, 930 |
5 | 35, 41, 391, 465 |
7, 41, 391, 93 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 41 x 391 x 93 = 104361810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104361810
Therefore, the GCF of Fractions 6/70,86/41,24/782,682/930 is 2/104361810
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 70,41,782,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,41,782,930) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(70,41,782,930) x common factors =1 x 20 = 20
LCM(70,41,782,930) = ( 70 × 41 × 782 × 930 ) / 20
LCM(70,41,782,930) = 2087236200 / 20
LCM(70,41,782,930) = 104361810
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,86,24,682?
The HCF of 6,86,24,682 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 6/70, 86/41, 24/782, 682/930?
Answer: GCF of Numerators as per given numbers 6/70, 86/41, 24/782, 682/930 is
GCF of Numerators i.e. for 6,86,24,682 is 2
LCM of denominators i.e. for 70,41,782,930 is 104361810.
Thus, GCF of Fractions is 2/104361810.Finally, GCF of Fractions for 6/70, 86/41, 24/782, 682/930 is 2/104361810.