GCF of 18/906, 43/876, 752/617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/906, 43/876, 752/617 i.e 1/81614292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/906, 43/876, 752/617.
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 18/906,43/876,752/617?
Given fractions are 18/906,43/876,752/617
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 18/906,43/876,752/617, numerators are 18,43,752
Denominators are 906,876,617
The GCF of 18,43,752 is 1 .
LCM of 906,876,617 is 81614292.
The greatest common factor of 18/906,43/876,752/617 = [GCF of 18,43,752]/[LCM of 906,876,617]= 1/81614292
Therefore, the GCF of 18/906,43/876,752/617 is 1/81614292.
To find the highest common factor of 18,43,752, 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 43 are 1, 43
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 18,43,752 is 1.
Lets's calculate GCF of 18,43,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,43,752 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 43
:1,43
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 18,43,752 . The biggest common factor number is the GCF number.
So the greatest common factor 18,43,752 is 1.
Lets's calculate LCM of 906,876,617
| 2 | 906, 876, 617 |
| 3 | 453, 438, 617 |
| 151, 146, 617 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 146 x 617 = 81614292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81614292
Therefore, the GCF of Fractions 18/906,43/876,752/617 is 1/81614292
Least Common Multiple of 906,876,617 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 906,876,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,876,617) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(906,876,617) x common factors =1 x 6 = 6
LCM(906,876,617) = ( 906 × 876 × 617 ) / 6
LCM(906,876,617) = 489685752 / 6
LCM(906,876,617) = 81614292
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FAQs on GCF of Fractions of 18/906, 43/876, 752/617
1. What is the HCF of 18,43,752?
The HCF of 18,43,752 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 18/906, 43/876, 752/617?
Answer: GCF of Numerators as per given numbers 18/906, 43/876, 752/617 is
GCF of Numerators i.e. for 18,43,752 is 1
LCM of denominators i.e. for 906,876,617 is 81614292.
Thus, GCF of Fractions is 1/81614292.Finally, GCF of Fractions for 18/906, 43/876, 752/617 is 1/81614292.