GCF of 18/771, 42/253, 911/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/771, 42/253, 911/318 i.e 1/20676678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/771, 42/253, 911/318.
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 18/771,42/253,911/318?
Given fractions are 18/771,42/253,911/318
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 18/771,42/253,911/318, numerators are 18,42,911
Denominators are 771,253,318
The GCF of 18,42,911 is 1 .
LCM of 771,253,318 is 20676678.
The greatest common factor of 18/771,42/253,911/318 = [GCF of 18,42,911]/[LCM of 771,253,318]= 1/20676678
Therefore, the GCF of 18/771,42/253,911/318 is 1/20676678.
To find the highest common factor of 18,42,911, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 911 are 1, 911
The HCF of 18,42,911 is 1.
Lets's calculate GCF of 18,42,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,42,911 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 911
:1,911
Greatest Common Factor
We found the factors 18,42,911 . The biggest common factor number is the GCF number.
So the greatest common factor 18,42,911 is 1.
Lets's calculate LCM of 771,253,318
| 3 | 771, 253, 318 |
| 257, 253, 106 |
∴ So the LCM of the given numbers is 3 x 257 x 253 x 106 = 20676678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20676678
Therefore, the GCF of Fractions 18/771,42/253,911/318 is 1/20676678
Least Common Multiple of 771,253,318 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 771,253,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,253,318) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(771,253,318) x common factors =1 x 3 = 3
LCM(771,253,318) = ( 771 × 253 × 318 ) / 3
LCM(771,253,318) = 62030034 / 3
LCM(771,253,318) = 20676678
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FAQs on GCF of Fractions of 18/771, 42/253, 911/318
1. What is the HCF of 18,42,911?
The HCF of 18,42,911 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 18/771, 42/253, 911/318?
Answer: GCF of Numerators as per given numbers 18/771, 42/253, 911/318 is
GCF of Numerators i.e. for 18,42,911 is 1
LCM of denominators i.e. for 771,253,318 is 20676678.
Thus, GCF of Fractions is 1/20676678.Finally, GCF of Fractions for 18/771, 42/253, 911/318 is 1/20676678.