Use our free GCF of Fractions Calculator tool to compute the GCF of 92/43, 456/94, 116/172 i.e 4/8084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/43, 456/94, 116/172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/43,456/94,116/172
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 92/43,456/94,116/172, numerators are 92,456,116
Denominators are 43,94,172
The GCF of 92,456,116 is 4 .
LCM of 43,94,172 is 8084.
The greatest common factor of 92/43,456/94,116/172 = [GCF of 92,456,116]/[LCM of 43,94,172]= 4/8084
Therefore, the GCF of 92/43,456/94,116/172 is 4/8084.
To find the highest common factor of 92,456,116, 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 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 92,456,116 is 4.
Lets's calculate GCF of 92,456,116
2 | 92, 456, 116 |
2 | 46, 228, 58 |
23, 114, 29 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 92,456,116 . The biggest common factor number is the GCF number.
So the greatest common factor 92,456,116 is 4.
Lets's calculate LCM of 43,94,172
2 | 43, 94, 172 |
43 | 43, 47, 86 |
1, 47, 2 |
∴ So the LCM of the given numbers is 2 x 43 x 1 x 47 x 2 = 8084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8084
Therefore, the GCF of Fractions 92/43,456/94,116/172 is 4/8084
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 43,94,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,94,172) = 1
common factors(in case of two or more numbers have common factors) = 86
GCF(43,94,172) x common factors =1 x 86 = 86
LCM(43,94,172) = ( 43 × 94 × 172 ) / 86
LCM(43,94,172) = 695224 / 86
LCM(43,94,172) = 8084
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,456,116?
The HCF of 92,456,116 is 4
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 92/43, 456/94, 116/172?
Answer: GCF of Numerators as per given numbers 92/43, 456/94, 116/172 is
GCF of Numerators i.e. for 92,456,116 is 4
LCM of denominators i.e. for 43,94,172 is 8084.
Thus, GCF of Fractions is 4/8084.Finally, GCF of Fractions for 92/43, 456/94, 116/172 is 4/8084.