GCF of 27/923, 87/639, 154/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/923, 87/639, 154/253 i.e 1/2101671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/923, 87/639, 154/253.
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 27/923,87/639,154/253?
Given fractions are 27/923,87/639,154/253
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 27/923,87/639,154/253, numerators are 27,87,154
Denominators are 923,639,253
The GCF of 27,87,154 is 1 .
LCM of 923,639,253 is 2101671.
The greatest common factor of 27/923,87/639,154/253 = [GCF of 27,87,154]/[LCM of 923,639,253]= 1/2101671
Therefore, the GCF of 27/923,87/639,154/253 is 1/2101671.
To find the highest common factor of 27,87,154, 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 87 are 1, 3, 29, 87
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 27,87,154 is 1.
Lets's calculate GCF of 27,87,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,87,154 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 27,87,154 . The biggest common factor number is the GCF number.
So the greatest common factor 27,87,154 is 1.
Lets's calculate LCM of 923,639,253
| 71 | 923, 639, 253 |
| 13, 9, 253 |
∴ So the LCM of the given numbers is 71 x 13 x 9 x 253 = 2101671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2101671
Therefore, the GCF of Fractions 27/923,87/639,154/253 is 1/2101671
Least Common Multiple of 923,639,253 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 923,639,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,639,253) = 1
common factors(in case of two or more numbers have common factors) = 71
GCF(923,639,253) x common factors =1 x 71 = 71
LCM(923,639,253) = ( 923 × 639 × 253 ) / 71
LCM(923,639,253) = 149218641 / 71
LCM(923,639,253) = 2101671
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FAQs on GCF of Fractions of 27/923, 87/639, 154/253
1. What is the HCF of 27,87,154?
The HCF of 27,87,154 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 27/923, 87/639, 154/253?
Answer: GCF of Numerators as per given numbers 27/923, 87/639, 154/253 is
GCF of Numerators i.e. for 27,87,154 is 1
LCM of denominators i.e. for 923,639,253 is 2101671.
Thus, GCF of Fractions is 1/2101671.Finally, GCF of Fractions for 27/923, 87/639, 154/253 is 1/2101671.