GCF of 8733/238, 2880/692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8733/238, 2880/692 i.e 3/82348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8733/238, 2880/692.
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 8733/238,2880/692?
Given fractions are 8733/238,2880/692
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 8733/238,2880/692, numerators are 8733,2880
Denominators are 238,692
The GCF of 8733,2880 is 3 .
LCM of 238,692 is 82348.
The greatest common factor of 8733/238,2880/692 = [GCF of 8733,2880]/[LCM of 238,692]= 3/82348
Therefore, the GCF of 8733/238,2880/692 is 3/82348.
To find the highest common factor of 8733,2880, we have to find the factors of both numbers and list the highest common factor.
The factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733
The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880
The HCF of 8733,2880 is 3.
Lets's calculate GCF of 8733,2880
| 3 | 8733, 2880 |
| 2911, 960 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8733,2880 By Matching Biggest Common Factor Method
Now, list down the factors of 8733
:1,3,41,71,123,213,2911,8733
Now, list down the factors of 2880
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880
Greatest Common Factor
We found the factors 8733,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 8733,2880 is 3.
Lets's calculate LCM of 238,692
| 2 | 238, 692 |
| 119, 346 |
∴ So the LCM of the given numbers is 2 x 119 x 346 = 82348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82348
Therefore, the GCF of Fractions 8733/238,2880/692 is 3/82348
Least Common Multiple of 238,692 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 238,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,692) x common factors =2 x 1 = 2
LCM(238,692) = ( 238 × 692 ) / 2
LCM(238,692) = 164696 / 2
LCM(238,692) = 82348
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FAQs on GCF of Fractions of 8733/238, 2880/692
1. What is the HCF of 8733,2880?
The HCF of 8733,2880 is 3
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 8733/238, 2880/692?
Answer: GCF of Numerators as per given numbers 8733/238, 2880/692 is
GCF of Numerators i.e. for 8733,2880 is 3
LCM of denominators i.e. for 238,692 is 82348.
Thus, GCF of Fractions is 3/82348.Finally, GCF of Fractions for 8733/238, 2880/692 is 3/82348.