GCF of 1041/998, 6345/5409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1041/998, 6345/5409 i.e 3/5398182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1041/998, 6345/5409.
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 1041/998,6345/5409?
Given fractions are 1041/998,6345/5409
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 1041/998,6345/5409, numerators are 1041,6345
Denominators are 998,5409
The GCF of 1041,6345 is 3 .
LCM of 998,5409 is 5398182.
The greatest common factor of 1041/998,6345/5409 = [GCF of 1041,6345]/[LCM of 998,5409]= 3/5398182
Therefore, the GCF of 1041/998,6345/5409 is 3/5398182.
To find the highest common factor of 1041,6345, we have to find the factors of both numbers and list the highest common factor.
The factors of 1041 are 1, 3, 347, 1041
The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The HCF of 1041,6345 is 3.
Lets's calculate GCF of 1041,6345
| 3 | 1041, 6345 |
| 347, 2115 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1041,6345 By Matching Biggest Common Factor Method
Now, list down the factors of 1041
:1,3,347,1041
Now, list down the factors of 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 1041,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 1041,6345 is 3.
Lets's calculate LCM of 998,5409
Given numbers has no common factors except 1. So, there LCM is their product i.e 5398182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5398182
Therefore, the GCF of Fractions 1041/998,6345/5409 is 3/5398182
Least Common Multiple of 998,5409 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 998,5409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,5409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,5409) x common factors =1 x 1 = 1
LCM(998,5409) = ( 998 × 5409 ) / 1
LCM(998,5409) = 5398182 / 1
LCM(998,5409) = 5398182
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FAQs on GCF of Fractions of 1041/998, 6345/5409
1. What is the HCF of 1041,6345?
The HCF of 1041,6345 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 1041/998, 6345/5409?
Answer: GCF of Numerators as per given numbers 1041/998, 6345/5409 is
GCF of Numerators i.e. for 1041,6345 is 3
LCM of denominators i.e. for 998,5409 is 5398182.
Thus, GCF of Fractions is 3/5398182.Finally, GCF of Fractions for 1041/998, 6345/5409 is 3/5398182.