GCF of 1554/319, 6771/4314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1554/319, 6771/4314 i.e 111/1376166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1554/319, 6771/4314.
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 1554/319,6771/4314?
Given fractions are 1554/319,6771/4314
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 1554/319,6771/4314, numerators are 1554,6771
Denominators are 319,4314
The GCF of 1554,6771 is 111 .
LCM of 319,4314 is 1376166.
The greatest common factor of 1554/319,6771/4314 = [GCF of 1554,6771]/[LCM of 319,4314]= 111/1376166
Therefore, the GCF of 1554/319,6771/4314 is 111/1376166.
To find the highest common factor of 1554,6771, we have to find the factors of both numbers and list the highest common factor.
The factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554
The factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771
The HCF of 1554,6771 is 111.
Lets's calculate GCF of 1554,6771
| 3 | 1554, 6771 |
| 37 | 518, 2257 |
| 14, 61 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Greatest Common Factor of 1554,6771 By Matching Biggest Common Factor Method
Now, list down the factors of 1554
:1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554
Now, list down the factors of 6771
:1,3,37,61,111,183,2257,6771
Greatest Common Factor
We found the factors 1554,6771 . The biggest common factor number is the GCF number.
So the greatest common factor 1554,6771 is 111.
Lets's calculate LCM of 319,4314
Given numbers has no common factors except 1. So, there LCM is their product i.e 1376166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/1376166
Therefore, the GCF of Fractions 1554/319,6771/4314 is 111/1376166
Least Common Multiple of 319,4314 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 319,4314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,4314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,4314) x common factors =1 x 1 = 1
LCM(319,4314) = ( 319 × 4314 ) / 1
LCM(319,4314) = 1376166 / 1
LCM(319,4314) = 1376166
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FAQs on GCF of Fractions of 1554/319, 6771/4314
1. What is the HCF of 1554,6771?
The HCF of 1554,6771 is 111
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 1554/319, 6771/4314?
Answer: GCF of Numerators as per given numbers 1554/319, 6771/4314 is
GCF of Numerators i.e. for 1554,6771 is 111
LCM of denominators i.e. for 319,4314 is 1376166.
Thus, GCF of Fractions is 111/1376166.Finally, GCF of Fractions for 1554/319, 6771/4314 is 111/1376166.