GCF of 6564/135, 2247/7747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6564/135, 2247/7747 i.e 3/1045845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6564/135, 2247/7747.
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 6564/135,2247/7747?
Given fractions are 6564/135,2247/7747
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 6564/135,2247/7747, numerators are 6564,2247
Denominators are 135,7747
The GCF of 6564,2247 is 3 .
LCM of 135,7747 is 1045845.
The greatest common factor of 6564/135,2247/7747 = [GCF of 6564,2247]/[LCM of 135,7747]= 3/1045845
Therefore, the GCF of 6564/135,2247/7747 is 3/1045845.
To find the highest common factor of 6564,2247, we have to find the factors of both numbers and list the highest common factor.
The factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 6564,2247 is 3.
Lets's calculate GCF of 6564,2247
| 3 | 6564, 2247 |
| 2188, 749 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6564,2247 By Matching Biggest Common Factor Method
Now, list down the factors of 6564
:1,2,3,4,6,12,547,1094,1641,2188,3282,6564
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 6564,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 6564,2247 is 3.
Lets's calculate LCM of 135,7747
Given numbers has no common factors except 1. So, there LCM is their product i.e 1045845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1045845
Therefore, the GCF of Fractions 6564/135,2247/7747 is 3/1045845
Least Common Multiple of 135,7747 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 135,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,7747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,7747) x common factors =1 x 1 = 1
LCM(135,7747) = ( 135 × 7747 ) / 1
LCM(135,7747) = 1045845 / 1
LCM(135,7747) = 1045845
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FAQs on GCF of Fractions of 6564/135, 2247/7747
1. What is the HCF of 6564,2247?
The HCF of 6564,2247 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 6564/135, 2247/7747?
Answer: GCF of Numerators as per given numbers 6564/135, 2247/7747 is
GCF of Numerators i.e. for 6564,2247 is 3
LCM of denominators i.e. for 135,7747 is 1045845.
Thus, GCF of Fractions is 3/1045845.Finally, GCF of Fractions for 6564/135, 2247/7747 is 3/1045845.