Use our free GCF of Fractions Calculator tool to compute the GCF of 92/51, 286/97, 416/420 i.e 2/692580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/51, 286/97, 416/420.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/51,286/97,416/420
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 92/51,286/97,416/420, numerators are 92,286,416
Denominators are 51,97,420
The GCF of 92,286,416 is 2 .
LCM of 51,97,420 is 692580.
The greatest common factor of 92/51,286/97,416/420 = [GCF of 92,286,416]/[LCM of 51,97,420]= 2/692580
Therefore, the GCF of 92/51,286/97,416/420 is 2/692580.
To find the highest common factor of 92,286,416, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The HCF of 92,286,416 is 2.
Lets's calculate GCF of 92,286,416
2 | 92, 286, 416 |
46, 143, 208 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 92,286,416 . The biggest common factor number is the GCF number.
So the greatest common factor 92,286,416 is 2.
Lets's calculate LCM of 51,97,420
3 | 51, 97, 420 |
17, 97, 140 |
∴ So the LCM of the given numbers is 3 x 17 x 97 x 140 = 692580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/692580
Therefore, the GCF of Fractions 92/51,286/97,416/420 is 2/692580
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 51,97,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,97,420) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,97,420) x common factors =1 x 3 = 3
LCM(51,97,420) = ( 51 × 97 × 420 ) / 3
LCM(51,97,420) = 2077740 / 3
LCM(51,97,420) = 692580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,286,416?
The HCF of 92,286,416 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 92/51, 286/97, 416/420?
Answer: GCF of Numerators as per given numbers 92/51, 286/97, 416/420 is
GCF of Numerators i.e. for 92,286,416 is 2
LCM of denominators i.e. for 51,97,420 is 692580.
Thus, GCF of Fractions is 2/692580.Finally, GCF of Fractions for 92/51, 286/97, 416/420 is 2/692580.