GCF of 8461/503, 8028/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8461/503, 8028/224 i.e 1/112672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8461/503, 8028/224.
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 8461/503,8028/224?
Given fractions are 8461/503,8028/224
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 8461/503,8028/224, numerators are 8461,8028
Denominators are 503,224
The GCF of 8461,8028 is 1 .
LCM of 503,224 is 112672.
The greatest common factor of 8461/503,8028/224 = [GCF of 8461,8028]/[LCM of 503,224]= 1/112672
Therefore, the GCF of 8461/503,8028/224 is 1/112672.
To find the highest common factor of 8461,8028, we have to find the factors of both numbers and list the highest common factor.
The factors of 8461 are 1, 8461
The factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028
The HCF of 8461,8028 is 1.
Lets's calculate GCF of 8461,8028
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8461,8028 By Matching Biggest Common Factor Method
Now, list down the factors of 8461
:1,8461
Now, list down the factors of 8028
:1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028
Greatest Common Factor
We found the factors 8461,8028 . The biggest common factor number is the GCF number.
So the greatest common factor 8461,8028 is 1.
Lets's calculate LCM of 503,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 112672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112672
Therefore, the GCF of Fractions 8461/503,8028/224 is 1/112672
Least Common Multiple of 503,224 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 503,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,224) x common factors =1 x 1 = 1
LCM(503,224) = ( 503 × 224 ) / 1
LCM(503,224) = 112672 / 1
LCM(503,224) = 112672
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FAQs on GCF of Fractions of 8461/503, 8028/224
1. What is the HCF of 8461,8028?
The HCF of 8461,8028 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 8461/503, 8028/224?
Answer: GCF of Numerators as per given numbers 8461/503, 8028/224 is
GCF of Numerators i.e. for 8461,8028 is 1
LCM of denominators i.e. for 503,224 is 112672.
Thus, GCF of Fractions is 1/112672.Finally, GCF of Fractions for 8461/503, 8028/224 is 1/112672.