GCF of 8769/240, 8040/8898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8769/240, 8040/8898 i.e 3/355920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8769/240, 8040/8898.
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 8769/240,8040/8898?
Given fractions are 8769/240,8040/8898
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 8769/240,8040/8898, numerators are 8769,8040
Denominators are 240,8898
The GCF of 8769,8040 is 3 .
LCM of 240,8898 is 355920.
The greatest common factor of 8769/240,8040/8898 = [GCF of 8769,8040]/[LCM of 240,8898]= 3/355920
Therefore, the GCF of 8769/240,8040/8898 is 3/355920.
To find the highest common factor of 8769,8040, we have to find the factors of both numbers and list the highest common factor.
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040
The HCF of 8769,8040 is 3.
Lets's calculate GCF of 8769,8040
| 3 | 8769, 8040 |
| 2923, 2680 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8769,8040 By Matching Biggest Common Factor Method
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Now, list down the factors of 8040
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Greatest Common Factor
We found the factors 8769,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,8040 is 3.
Lets's calculate LCM of 240,8898
| 2 | 240, 8898 |
| 3 | 120, 4449 |
| 40, 1483 |
∴ So the LCM of the given numbers is 2 x 3 x 40 x 1483 = 355920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/355920
Therefore, the GCF of Fractions 8769/240,8040/8898 is 3/355920
Least Common Multiple of 240,8898 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 240,8898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,8898) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(240,8898) x common factors =6 x 1 = 6
LCM(240,8898) = ( 240 × 8898 ) / 6
LCM(240,8898) = 2135520 / 6
LCM(240,8898) = 355920
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FAQs on GCF of Fractions of 8769/240, 8040/8898
1. What is the HCF of 8769,8040?
The HCF of 8769,8040 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 8769/240, 8040/8898?
Answer: GCF of Numerators as per given numbers 8769/240, 8040/8898 is
GCF of Numerators i.e. for 8769,8040 is 3
LCM of denominators i.e. for 240,8898 is 355920.
Thus, GCF of Fractions is 3/355920.Finally, GCF of Fractions for 8769/240, 8040/8898 is 3/355920.