GCF of 27/83, 826/74, 146/999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/83, 826/74, 146/999 i.e 1/165834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/83, 826/74, 146/999.
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 27/83,826/74,146/999?
Given fractions are 27/83,826/74,146/999
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 27/83,826/74,146/999, numerators are 27,826,146
Denominators are 83,74,999
The GCF of 27,826,146 is 1 .
LCM of 83,74,999 is 165834.
The greatest common factor of 27/83,826/74,146/999 = [GCF of 27,826,146]/[LCM of 83,74,999]= 1/165834
Therefore, the GCF of 27/83,826/74,146/999 is 1/165834.
To find the highest common factor of 27,826,146, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The factors of 146 are 1, 2, 73, 146
The HCF of 27,826,146 is 1.
Lets's calculate GCF of 27,826,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,826,146 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 146
:1,2,73,146
Greatest Common Factor
We found the factors 27,826,146 . The biggest common factor number is the GCF number.
So the greatest common factor 27,826,146 is 1.
Lets's calculate LCM of 83,74,999
| 37 | 83, 74, 999 |
| 83, 2, 27 |
∴ So the LCM of the given numbers is 37 x 83 x 2 x 27 = 165834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165834
Therefore, the GCF of Fractions 27/83,826/74,146/999 is 1/165834
Least Common Multiple of 83,74,999 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 83,74,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,74,999) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(83,74,999) x common factors =1 x 37 = 37
LCM(83,74,999) = ( 83 × 74 × 999 ) / 37
LCM(83,74,999) = 6135858 / 37
LCM(83,74,999) = 165834
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FAQs on GCF of Fractions of 27/83, 826/74, 146/999
1. What is the HCF of 27,826,146?
The HCF of 27,826,146 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 27/83, 826/74, 146/999?
Answer: GCF of Numerators as per given numbers 27/83, 826/74, 146/999 is
GCF of Numerators i.e. for 27,826,146 is 1
LCM of denominators i.e. for 83,74,999 is 165834.
Thus, GCF of Fractions is 1/165834.Finally, GCF of Fractions for 27/83, 826/74, 146/999 is 1/165834.