GCF of 14/91, 832/14, 534/774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/91, 832/14, 534/774 i.e 2/70434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/91, 832/14, 534/774.
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 14/91,832/14,534/774?
Given fractions are 14/91,832/14,534/774
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 14/91,832/14,534/774, numerators are 14,832,534
Denominators are 91,14,774
The GCF of 14,832,534 is 2 .
LCM of 91,14,774 is 70434.
The greatest common factor of 14/91,832/14,534/774 = [GCF of 14,832,534]/[LCM of 91,14,774]= 2/70434
Therefore, the GCF of 14/91,832/14,534/774 is 2/70434.
To find the highest common factor of 14,832,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 14,832,534 is 2.
Lets's calculate GCF of 14,832,534
| 2 | 14, 832, 534 |
| 7, 416, 267 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,832,534 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 14,832,534 . The biggest common factor number is the GCF number.
So the greatest common factor 14,832,534 is 2.
Lets's calculate LCM of 91,14,774
| 2 | 91, 14, 774 |
| 7 | 91, 7, 387 |
| 13, 1, 387 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 387 = 70434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70434
Therefore, the GCF of Fractions 14/91,832/14,534/774 is 2/70434
Least Common Multiple of 91,14,774 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 91,14,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,14,774) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(91,14,774) x common factors =1 x 14 = 14
LCM(91,14,774) = ( 91 × 14 × 774 ) / 14
LCM(91,14,774) = 986076 / 14
LCM(91,14,774) = 70434
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 14/91, 832/14, 534/774
1. What is the HCF of 14,832,534?
The HCF of 14,832,534 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 14/91, 832/14, 534/774?
Answer: GCF of Numerators as per given numbers 14/91, 832/14, 534/774 is
GCF of Numerators i.e. for 14,832,534 is 2
LCM of denominators i.e. for 91,14,774 is 70434.
Thus, GCF of Fractions is 2/70434.Finally, GCF of Fractions for 14/91, 832/14, 534/774 is 2/70434.