GCF of 94/355, 56/364, 191/784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/355, 56/364, 191/784 i.e 1/3618160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/355, 56/364, 191/784.
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 94/355,56/364,191/784?
Given fractions are 94/355,56/364,191/784
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 94/355,56/364,191/784, numerators are 94,56,191
Denominators are 355,364,784
The GCF of 94,56,191 is 1 .
LCM of 355,364,784 is 3618160.
The greatest common factor of 94/355,56/364,191/784 = [GCF of 94,56,191]/[LCM of 355,364,784]= 1/3618160
Therefore, the GCF of 94/355,56/364,191/784 is 1/3618160.
To find the highest common factor of 94,56,191, 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 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 191 are 1, 191
The HCF of 94,56,191 is 1.
Lets's calculate GCF of 94,56,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,56,191 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 191
:1,191
Greatest Common Factor
We found the factors 94,56,191 . The biggest common factor number is the GCF number.
So the greatest common factor 94,56,191 is 1.
Lets's calculate LCM of 355,364,784
| 2 | 355, 364, 784 |
| 2 | 355, 182, 392 |
| 7 | 355, 91, 196 |
| 355, 13, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 355 x 13 x 28 = 3618160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3618160
Therefore, the GCF of Fractions 94/355,56/364,191/784 is 1/3618160
Least Common Multiple of 355,364,784 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 355,364,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,364,784) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(355,364,784) x common factors =1 x 28 = 28
LCM(355,364,784) = ( 355 × 364 × 784 ) / 28
LCM(355,364,784) = 101308480 / 28
LCM(355,364,784) = 3618160
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FAQs on GCF of Fractions of 94/355, 56/364, 191/784
1. What is the HCF of 94,56,191?
The HCF of 94,56,191 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 94/355, 56/364, 191/784?
Answer: GCF of Numerators as per given numbers 94/355, 56/364, 191/784 is
GCF of Numerators i.e. for 94,56,191 is 1
LCM of denominators i.e. for 355,364,784 is 3618160.
Thus, GCF of Fractions is 1/3618160.Finally, GCF of Fractions for 94/355, 56/364, 191/784 is 1/3618160.