GCF of 2760/266, 1677/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2760/266, 1677/912 i.e 3/6384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2760/266, 1677/912.
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 2760/266,1677/912?
Given fractions are 2760/266,1677/912
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 2760/266,1677/912, numerators are 2760,1677
Denominators are 266,912
The GCF of 2760,1677 is 3 .
LCM of 266,912 is 6384.
The greatest common factor of 2760/266,1677/912 = [GCF of 2760,1677]/[LCM of 266,912]= 3/6384
Therefore, the GCF of 2760/266,1677/912 is 3/6384.
To find the highest common factor of 2760,1677, we have to find the factors of both numbers and list the highest common factor.
The factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760
The factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677
The HCF of 2760,1677 is 3.
Lets's calculate GCF of 2760,1677
| 3 | 2760, 1677 |
| 920, 559 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2760,1677 By Matching Biggest Common Factor Method
Now, list down the factors of 2760
:1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Now, list down the factors of 1677
:1,3,13,39,43,129,559,1677
Greatest Common Factor
We found the factors 2760,1677 . The biggest common factor number is the GCF number.
So the greatest common factor 2760,1677 is 3.
Lets's calculate LCM of 266,912
| 2 | 266, 912 |
| 19 | 133, 456 |
| 7, 24 |
∴ So the LCM of the given numbers is 2 x 19 x 7 x 24 = 6384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6384
Therefore, the GCF of Fractions 2760/266,1677/912 is 3/6384
Least Common Multiple of 266,912 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 266,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,912) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(266,912) x common factors =38 x 1 = 38
LCM(266,912) = ( 266 × 912 ) / 38
LCM(266,912) = 242592 / 38
LCM(266,912) = 6384
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FAQs on GCF of Fractions of 2760/266, 1677/912
1. What is the HCF of 2760,1677?
The HCF of 2760,1677 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 2760/266, 1677/912?
Answer: GCF of Numerators as per given numbers 2760/266, 1677/912 is
GCF of Numerators i.e. for 2760,1677 is 3
LCM of denominators i.e. for 266,912 is 6384.
Thus, GCF of Fractions is 3/6384.Finally, GCF of Fractions for 2760/266, 1677/912 is 3/6384.