GCF of 6651/969, 5409/398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6651/969, 5409/398 i.e 9/385662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6651/969, 5409/398.
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 6651/969,5409/398?
Given fractions are 6651/969,5409/398
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 6651/969,5409/398, numerators are 6651,5409
Denominators are 969,398
The GCF of 6651,5409 is 9 .
LCM of 969,398 is 385662.
The greatest common factor of 6651/969,5409/398 = [GCF of 6651,5409]/[LCM of 969,398]= 9/385662
Therefore, the GCF of 6651/969,5409/398 is 9/385662.
To find the highest common factor of 6651,5409, we have to find the factors of both numbers and list the highest common factor.
The factors of 6651 are 1, 3, 9, 739, 2217, 6651
The factors of 5409 are 1, 3, 9, 601, 1803, 5409
The HCF of 6651,5409 is 9.
Lets's calculate GCF of 6651,5409
| 3 | 6651, 5409 |
| 3 | 2217, 1803 |
| 739, 601 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6651,5409 By Matching Biggest Common Factor Method
Now, list down the factors of 6651
:1,3,9,739,2217,6651
Now, list down the factors of 5409
:1,3,9,601,1803,5409
Greatest Common Factor
We found the factors 6651,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 6651,5409 is 9.
Lets's calculate LCM of 969,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 385662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/385662
Therefore, the GCF of Fractions 6651/969,5409/398 is 9/385662
Least Common Multiple of 969,398 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 969,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,398) x common factors =1 x 1 = 1
LCM(969,398) = ( 969 × 398 ) / 1
LCM(969,398) = 385662 / 1
LCM(969,398) = 385662
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FAQs on GCF of Fractions of 6651/969, 5409/398
1. What is the HCF of 6651,5409?
The HCF of 6651,5409 is 9
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 6651/969, 5409/398?
Answer: GCF of Numerators as per given numbers 6651/969, 5409/398 is
GCF of Numerators i.e. for 6651,5409 is 9
LCM of denominators i.e. for 969,398 is 385662.
Thus, GCF of Fractions is 9/385662.Finally, GCF of Fractions for 6651/969, 5409/398 is 9/385662.