GCF of 878/90, 209/18, 375/96
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 878/90, 209/18, 375/96 i.e 1/1440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/90, 209/18, 375/96.
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 878/90,209/18,375/96?
Given fractions are 878/90,209/18,375/96
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 878/90,209/18,375/96, numerators are 878,209,375
Denominators are 90,18,96
The GCF of 878,209,375 is 1 .
LCM of 90,18,96 is 1440.
The greatest common factor of 878/90,209/18,375/96 = [GCF of 878,209,375]/[LCM of 90,18,96]= 1/1440
Therefore, the GCF of 878/90,209/18,375/96 is 1/1440.
To find the highest common factor of 878,209,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 209 are 1, 11, 19, 209
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 878,209,375 is 1.
Lets's calculate GCF of 878,209,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 878,209,375 By Matching Biggest Common Factor Method
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 209
:1,11,19,209
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 878,209,375 . The biggest common factor number is the GCF number.
So the greatest common factor 878,209,375 is 1.
Lets's calculate LCM of 90,18,96
| 2 | 90, 18, 96 |
| 3 | 45, 9, 48 |
| 3 | 15, 3, 16 |
| 5, 1, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 16 = 1440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440
Therefore, the GCF of Fractions 878/90,209/18,375/96 is 1/1440
Least Common Multiple of 90,18,96 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 90,18,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,18,96) = 6
common factors(in case of two or more numbers have common factors) = 18
GCF(90,18,96) x common factors =6 x 18 = 108
LCM(90,18,96) = ( 90 × 18 × 96 ) / 108
LCM(90,18,96) = 155520 / 108
LCM(90,18,96) = 1440
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FAQs on GCF of Fractions of 878/90, 209/18, 375/96
1. What is the HCF of 878,209,375?
The HCF of 878,209,375 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 878/90, 209/18, 375/96?
Answer: GCF of Numerators as per given numbers 878/90, 209/18, 375/96 is
GCF of Numerators i.e. for 878,209,375 is 1
LCM of denominators i.e. for 90,18,96 is 1440.
Thus, GCF of Fractions is 1/1440.Finally, GCF of Fractions for 878/90, 209/18, 375/96 is 1/1440.