GCF of 2247/467, 3205/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2247/467, 3205/678 i.e 1/316626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2247/467, 3205/678.
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 2247/467,3205/678?
Given fractions are 2247/467,3205/678
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 2247/467,3205/678, numerators are 2247,3205
Denominators are 467,678
The GCF of 2247,3205 is 1 .
LCM of 467,678 is 316626.
The greatest common factor of 2247/467,3205/678 = [GCF of 2247,3205]/[LCM of 467,678]= 1/316626
Therefore, the GCF of 2247/467,3205/678 is 1/316626.
To find the highest common factor of 2247,3205, we have to find the factors of both numbers and list the highest common factor.
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The factors of 3205 are 1, 5, 641, 3205
The HCF of 2247,3205 is 1.
Lets's calculate GCF of 2247,3205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2247,3205 By Matching Biggest Common Factor Method
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Now, list down the factors of 3205
:1,5,641,3205
Greatest Common Factor
We found the factors 2247,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 2247,3205 is 1.
Lets's calculate LCM of 467,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 316626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316626
Therefore, the GCF of Fractions 2247/467,3205/678 is 1/316626
Least Common Multiple of 467,678 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 467,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,678) x common factors =1 x 1 = 1
LCM(467,678) = ( 467 × 678 ) / 1
LCM(467,678) = 316626 / 1
LCM(467,678) = 316626
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FAQs on GCF of Fractions of 2247/467, 3205/678
1. What is the HCF of 2247,3205?
The HCF of 2247,3205 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 2247/467, 3205/678?
Answer: GCF of Numerators as per given numbers 2247/467, 3205/678 is
GCF of Numerators i.e. for 2247,3205 is 1
LCM of denominators i.e. for 467,678 is 316626.
Thus, GCF of Fractions is 1/316626.Finally, GCF of Fractions for 2247/467, 3205/678 is 1/316626.