GCF of 81/28, 874/66, 948/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/28, 874/66, 948/111 i.e 1/34188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/28, 874/66, 948/111.
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 81/28,874/66,948/111?
Given fractions are 81/28,874/66,948/111
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 81/28,874/66,948/111, numerators are 81,874,948
Denominators are 28,66,111
The GCF of 81,874,948 is 1 .
LCM of 28,66,111 is 34188.
The greatest common factor of 81/28,874/66,948/111 = [GCF of 81,874,948]/[LCM of 28,66,111]= 1/34188
Therefore, the GCF of 81/28,874/66,948/111 is 1/34188.
To find the highest common factor of 81,874,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 81,874,948 is 1.
Lets's calculate GCF of 81,874,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,874,948 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 81,874,948 . The biggest common factor number is the GCF number.
So the greatest common factor 81,874,948 is 1.
Lets's calculate LCM of 28,66,111
| 2 | 28, 66, 111 |
| 3 | 14, 33, 111 |
| 14, 11, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 11 x 37 = 34188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34188
Therefore, the GCF of Fractions 81/28,874/66,948/111 is 1/34188
Least Common Multiple of 28,66,111 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 28,66,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,66,111) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(28,66,111) x common factors =1 x 6 = 6
LCM(28,66,111) = ( 28 × 66 × 111 ) / 6
LCM(28,66,111) = 205128 / 6
LCM(28,66,111) = 34188
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FAQs on GCF of Fractions of 81/28, 874/66, 948/111
1. What is the HCF of 81,874,948?
The HCF of 81,874,948 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 81/28, 874/66, 948/111?
Answer: GCF of Numerators as per given numbers 81/28, 874/66, 948/111 is
GCF of Numerators i.e. for 81,874,948 is 1
LCM of denominators i.e. for 28,66,111 is 34188.
Thus, GCF of Fractions is 1/34188.Finally, GCF of Fractions for 81/28, 874/66, 948/111 is 1/34188.