GCF of 5410/829, 1710/6551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5410/829, 1710/6551 i.e 10/5430779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5410/829, 1710/6551.
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 5410/829,1710/6551?
Given fractions are 5410/829,1710/6551
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 5410/829,1710/6551, numerators are 5410,1710
Denominators are 829,6551
The GCF of 5410,1710 is 10 .
LCM of 829,6551 is 5430779.
The greatest common factor of 5410/829,1710/6551 = [GCF of 5410,1710]/[LCM of 829,6551]= 10/5430779
Therefore, the GCF of 5410/829,1710/6551 is 10/5430779.
To find the highest common factor of 5410,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 5410,1710 is 10.
Lets's calculate GCF of 5410,1710
| 2 | 5410, 1710 |
| 5 | 2705, 855 |
| 541, 171 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5410,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 5410
:1,2,5,10,541,1082,2705,5410
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 5410,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 5410,1710 is 10.
Lets's calculate LCM of 829,6551
Given numbers has no common factors except 1. So, there LCM is their product i.e 5430779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5430779
Therefore, the GCF of Fractions 5410/829,1710/6551 is 10/5430779
Least Common Multiple of 829,6551 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 829,6551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,6551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,6551) x common factors =1 x 1 = 1
LCM(829,6551) = ( 829 × 6551 ) / 1
LCM(829,6551) = 5430779 / 1
LCM(829,6551) = 5430779
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FAQs on GCF of Fractions of 5410/829, 1710/6551
1. What is the HCF of 5410,1710?
The HCF of 5410,1710 is 10
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 5410/829, 1710/6551?
Answer: GCF of Numerators as per given numbers 5410/829, 1710/6551 is
GCF of Numerators i.e. for 5410,1710 is 10
LCM of denominators i.e. for 829,6551 is 5430779.
Thus, GCF of Fractions is 10/5430779.Finally, GCF of Fractions for 5410/829, 1710/6551 is 10/5430779.