GCF of 94/78, 52/91, 87/66, 75/21
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/78, 52/91, 87/66, 75/21 i.e 1/6006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/78, 52/91, 87/66, 75/21.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 94/78,52/91,87/66,75/21?
Given fractions are 94/78,52/91,87/66,75/21
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 94/78,52/91,87/66,75/21, numerators are 94,52,87,75
Denominators are 78,91,66,21
The GCF of 94,52,87,75 is 1 .
LCM of 78,91,66,21 is 6006.
The greatest common factor of 94/78,52/91,87/66,75/21 = [GCF of 94,52,87,75]/[LCM of 78,91,66,21]= 1/6006
Therefore, the GCF of 94/78,52/91,87/66,75/21 is 1/6006.
To find the highest common factor of 94,52,87,75, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 87 are 1, 3, 29, 87
The factors of 75 are 1, 3, 5, 15, 25, 75
The HCF of 94,52,87,75 is 1.
Lets's calculate GCF of 94,52,87,75
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,52,87,75 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 75
:1,3,5,15,25,75
Greatest Common Factor
We found the factors 94,52,87,75 . The biggest common factor number is the GCF number.
So the greatest common factor 94,52,87,75 is 1.
Lets's calculate LCM of 78,91,66,21
| 2 | 78, 91, 66, 21 |
| 3 | 39, 91, 33, 21 |
| 7 | 13, 91, 11, 7 |
| 13 | 13, 13, 11, 1 |
| 1, 1, 11, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 1 x 1 x 11 x 1 = 6006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6006
Therefore, the GCF of Fractions 94/78,52/91,87/66,75/21 is 1/6006
Least Common Multiple of 78,91,66,21 with GCF Formula
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 78,91,66,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,91,66,21) = 1
common factors(in case of two or more numbers have common factors) = 1638
GCF(78,91,66,21) x common factors =1 x 1638 = 1638
LCM(78,91,66,21) = ( 78 × 91 × 66 × 21 ) / 1638
LCM(78,91,66,21) = 9837828 / 1638
LCM(78,91,66,21) = 6006
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 94/78, 52/91, 87/66, 75/21
1. What is the HCF of 94,52,87,75?
The HCF of 94,52,87,75 is 1
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 94/78, 52/91, 87/66, 75/21?
Answer: GCF of Numerators as per given numbers 94/78, 52/91, 87/66, 75/21 is
GCF of Numerators i.e. for 94,52,87,75 is 1
LCM of denominators i.e. for 78,91,66,21 is 6006.
Thus, GCF of Fractions is 1/6006.Finally, GCF of Fractions for 94/78, 52/91, 87/66, 75/21 is 1/6006.