GCF of 448/456, 6947/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 448/456, 6947/269 i.e 1/122664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/456, 6947/269.
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 448/456,6947/269?
Given fractions are 448/456,6947/269
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 448/456,6947/269, numerators are 448,6947
Denominators are 456,269
The GCF of 448,6947 is 1 .
LCM of 456,269 is 122664.
The greatest common factor of 448/456,6947/269 = [GCF of 448,6947]/[LCM of 456,269]= 1/122664
Therefore, the GCF of 448/456,6947/269 is 1/122664.
To find the highest common factor of 448,6947, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 6947 are 1, 6947
The HCF of 448,6947 is 1.
Lets's calculate GCF of 448,6947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 448,6947 By Matching Biggest Common Factor Method
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 6947
:1,6947
Greatest Common Factor
We found the factors 448,6947 . The biggest common factor number is the GCF number.
So the greatest common factor 448,6947 is 1.
Lets's calculate LCM of 456,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 122664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122664
Therefore, the GCF of Fractions 448/456,6947/269 is 1/122664
Least Common Multiple of 456,269 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 456,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,269) x common factors =1 x 1 = 1
LCM(456,269) = ( 456 × 269 ) / 1
LCM(456,269) = 122664 / 1
LCM(456,269) = 122664
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FAQs on GCF of Fractions of 448/456, 6947/269
1. What is the HCF of 448,6947?
The HCF of 448,6947 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 448/456, 6947/269?
Answer: GCF of Numerators as per given numbers 448/456, 6947/269 is
GCF of Numerators i.e. for 448,6947 is 1
LCM of denominators i.e. for 456,269 is 122664.
Thus, GCF of Fractions is 1/122664.Finally, GCF of Fractions for 448/456, 6947/269 is 1/122664.