GCF of 45/77, 990/99, 872/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 45/77, 990/99, 872/209 i.e 1/13167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/77, 990/99, 872/209.
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 45/77,990/99,872/209?
Given fractions are 45/77,990/99,872/209
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 45/77,990/99,872/209, numerators are 45,990,872
Denominators are 77,99,209
The GCF of 45,990,872 is 1 .
LCM of 77,99,209 is 13167.
The greatest common factor of 45/77,990/99,872/209 = [GCF of 45,990,872]/[LCM of 77,99,209]= 1/13167
Therefore, the GCF of 45/77,990/99,872/209 is 1/13167.
To find the highest common factor of 45,990,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 45,990,872 is 1.
Lets's calculate GCF of 45,990,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 45,990,872 By Matching Biggest Common Factor Method
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 45,990,872 . The biggest common factor number is the GCF number.
So the greatest common factor 45,990,872 is 1.
Lets's calculate LCM of 77,99,209
| 11 | 77, 99, 209 |
| 7, 9, 19 |
∴ So the LCM of the given numbers is 11 x 7 x 9 x 19 = 13167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13167
Therefore, the GCF of Fractions 45/77,990/99,872/209 is 1/13167
Least Common Multiple of 77,99,209 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 77,99,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,99,209) = 11
common factors(in case of two or more numbers have common factors) = 11
GCF(77,99,209) x common factors =11 x 11 = 121
LCM(77,99,209) = ( 77 × 99 × 209 ) / 121
LCM(77,99,209) = 1593207 / 121
LCM(77,99,209) = 13167
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FAQs on GCF of Fractions of 45/77, 990/99, 872/209
1. What is the HCF of 45,990,872?
The HCF of 45,990,872 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 45/77, 990/99, 872/209?
Answer: GCF of Numerators as per given numbers 45/77, 990/99, 872/209 is
GCF of Numerators i.e. for 45,990,872 is 1
LCM of denominators i.e. for 77,99,209 is 13167.
Thus, GCF of Fractions is 1/13167.Finally, GCF of Fractions for 45/77, 990/99, 872/209 is 1/13167.