GCF of 3209/246, 2655/7781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3209/246, 2655/7781 i.e 1/1914126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3209/246, 2655/7781.
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 3209/246,2655/7781?
Given fractions are 3209/246,2655/7781
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 3209/246,2655/7781, numerators are 3209,2655
Denominators are 246,7781
The GCF of 3209,2655 is 1 .
LCM of 246,7781 is 1914126.
The greatest common factor of 3209/246,2655/7781 = [GCF of 3209,2655]/[LCM of 246,7781]= 1/1914126
Therefore, the GCF of 3209/246,2655/7781 is 1/1914126.
To find the highest common factor of 3209,2655, we have to find the factors of both numbers and list the highest common factor.
The factors of 3209 are 1, 3209
The factors of 2655 are 1, 3, 5, 9, 15, 45, 59, 177, 295, 531, 885, 2655
The HCF of 3209,2655 is 1.
Lets's calculate GCF of 3209,2655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3209,2655 By Matching Biggest Common Factor Method
Now, list down the factors of 3209
:1,3209
Now, list down the factors of 2655
:1,3,5,9,15,45,59,177,295,531,885,2655
Greatest Common Factor
We found the factors 3209,2655 . The biggest common factor number is the GCF number.
So the greatest common factor 3209,2655 is 1.
Lets's calculate LCM of 246,7781
Given numbers has no common factors except 1. So, there LCM is their product i.e 1914126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1914126
Therefore, the GCF of Fractions 3209/246,2655/7781 is 1/1914126
Least Common Multiple of 246,7781 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 246,7781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,7781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,7781) x common factors =1 x 1 = 1
LCM(246,7781) = ( 246 × 7781 ) / 1
LCM(246,7781) = 1914126 / 1
LCM(246,7781) = 1914126
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FAQs on GCF of Fractions of 3209/246, 2655/7781
1. What is the HCF of 3209,2655?
The HCF of 3209,2655 is 1
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 3209/246, 2655/7781?
Answer: GCF of Numerators as per given numbers 3209/246, 2655/7781 is
GCF of Numerators i.e. for 3209,2655 is 1
LCM of denominators i.e. for 246,7781 is 1914126.
Thus, GCF of Fractions is 1/1914126.Finally, GCF of Fractions for 3209/246, 2655/7781 is 1/1914126.