GCF of 8949/282, 6146/7627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8949/282, 6146/7627 i.e 1/2150814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8949/282, 6146/7627.
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 8949/282,6146/7627?
Given fractions are 8949/282,6146/7627
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 8949/282,6146/7627, numerators are 8949,6146
Denominators are 282,7627
The GCF of 8949,6146 is 1 .
LCM of 282,7627 is 2150814.
The greatest common factor of 8949/282,6146/7627 = [GCF of 8949,6146]/[LCM of 282,7627]= 1/2150814
Therefore, the GCF of 8949/282,6146/7627 is 1/2150814.
To find the highest common factor of 8949,6146, we have to find the factors of both numbers and list the highest common factor.
The factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949
The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146
The HCF of 8949,6146 is 1.
Lets's calculate GCF of 8949,6146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8949,6146 By Matching Biggest Common Factor Method
Now, list down the factors of 8949
:1,3,19,57,157,471,2983,8949
Now, list down the factors of 6146
:1,2,7,14,439,878,3073,6146
Greatest Common Factor
We found the factors 8949,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 8949,6146 is 1.
Lets's calculate LCM of 282,7627
Given numbers has no common factors except 1. So, there LCM is their product i.e 2150814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2150814
Therefore, the GCF of Fractions 8949/282,6146/7627 is 1/2150814
Least Common Multiple of 282,7627 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 282,7627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,7627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,7627) x common factors =1 x 1 = 1
LCM(282,7627) = ( 282 × 7627 ) / 1
LCM(282,7627) = 2150814 / 1
LCM(282,7627) = 2150814
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FAQs on GCF of Fractions of 8949/282, 6146/7627
1. What is the HCF of 8949,6146?
The HCF of 8949,6146 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 8949/282, 6146/7627?
Answer: GCF of Numerators as per given numbers 8949/282, 6146/7627 is
GCF of Numerators i.e. for 8949,6146 is 1
LCM of denominators i.e. for 282,7627 is 2150814.
Thus, GCF of Fractions is 1/2150814.Finally, GCF of Fractions for 8949/282, 6146/7627 is 1/2150814.