GCF of 2769/460, 9927/3004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2769/460, 9927/3004 i.e 3/345460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2769/460, 9927/3004.
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 2769/460,9927/3004?
Given fractions are 2769/460,9927/3004
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 2769/460,9927/3004, numerators are 2769,9927
Denominators are 460,3004
The GCF of 2769,9927 is 3 .
LCM of 460,3004 is 345460.
The greatest common factor of 2769/460,9927/3004 = [GCF of 2769,9927]/[LCM of 460,3004]= 3/345460
Therefore, the GCF of 2769/460,9927/3004 is 3/345460.
To find the highest common factor of 2769,9927, we have to find the factors of both numbers and list the highest common factor.
The factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769
The factors of 9927 are 1, 3, 9, 1103, 3309, 9927
The HCF of 2769,9927 is 3.
Lets's calculate GCF of 2769,9927
| 3 | 2769, 9927 |
| 923, 3309 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2769,9927 By Matching Biggest Common Factor Method
Now, list down the factors of 2769
:1,3,13,39,71,213,923,2769
Now, list down the factors of 9927
:1,3,9,1103,3309,9927
Greatest Common Factor
We found the factors 2769,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 2769,9927 is 3.
Lets's calculate LCM of 460,3004
| 2 | 460, 3004 |
| 2 | 230, 1502 |
| 115, 751 |
∴ So the LCM of the given numbers is 2 x 2 x 115 x 751 = 345460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/345460
Therefore, the GCF of Fractions 2769/460,9927/3004 is 3/345460
Least Common Multiple of 460,3004 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 460,3004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,3004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(460,3004) x common factors =4 x 1 = 4
LCM(460,3004) = ( 460 × 3004 ) / 4
LCM(460,3004) = 1381840 / 4
LCM(460,3004) = 345460
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FAQs on GCF of Fractions of 2769/460, 9927/3004
1. What is the HCF of 2769,9927?
The HCF of 2769,9927 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 2769/460, 9927/3004?
Answer: GCF of Numerators as per given numbers 2769/460, 9927/3004 is
GCF of Numerators i.e. for 2769,9927 is 3
LCM of denominators i.e. for 460,3004 is 345460.
Thus, GCF of Fractions is 3/345460.Finally, GCF of Fractions for 2769/460, 9927/3004 is 3/345460.