GCF of 8277/345, 1908/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8277/345, 1908/552 i.e 3/2760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8277/345, 1908/552.
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 8277/345,1908/552?
Given fractions are 8277/345,1908/552
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 8277/345,1908/552, numerators are 8277,1908
Denominators are 345,552
The GCF of 8277,1908 is 3 .
LCM of 345,552 is 2760.
The greatest common factor of 8277/345,1908/552 = [GCF of 8277,1908]/[LCM of 345,552]= 3/2760
Therefore, the GCF of 8277/345,1908/552 is 3/2760.
To find the highest common factor of 8277,1908, we have to find the factors of both numbers and list the highest common factor.
The factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277
The factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The HCF of 8277,1908 is 3.
Lets's calculate GCF of 8277,1908
| 3 | 8277, 1908 |
| 2759, 636 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8277,1908 By Matching Biggest Common Factor Method
Now, list down the factors of 8277
:1,3,31,89,93,267,2759,8277
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 8277,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 8277,1908 is 3.
Lets's calculate LCM of 345,552
| 3 | 345, 552 |
| 23 | 115, 184 |
| 5, 8 |
∴ So the LCM of the given numbers is 3 x 23 x 5 x 8 = 2760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2760
Therefore, the GCF of Fractions 8277/345,1908/552 is 3/2760
Least Common Multiple of 345,552 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 345,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,552) = 69
common factors(in case of two or more numbers have common factors) = 1
GCF(345,552) x common factors =69 x 1 = 69
LCM(345,552) = ( 345 × 552 ) / 69
LCM(345,552) = 190440 / 69
LCM(345,552) = 2760
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FAQs on GCF of Fractions of 8277/345, 1908/552
1. What is the HCF of 8277,1908?
The HCF of 8277,1908 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 8277/345, 1908/552?
Answer: GCF of Numerators as per given numbers 8277/345, 1908/552 is
GCF of Numerators i.e. for 8277,1908 is 3
LCM of denominators i.e. for 345,552 is 2760.
Thus, GCF of Fractions is 3/2760.Finally, GCF of Fractions for 8277/345, 1908/552 is 3/2760.