GCF of 7283/553, 2280/4103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7283/553, 2280/4103 i.e 1/2268959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7283/553, 2280/4103.
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 7283/553,2280/4103?
Given fractions are 7283/553,2280/4103
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 7283/553,2280/4103, numerators are 7283,2280
Denominators are 553,4103
The GCF of 7283,2280 is 1 .
LCM of 553,4103 is 2268959.
The greatest common factor of 7283/553,2280/4103 = [GCF of 7283,2280]/[LCM of 553,4103]= 1/2268959
Therefore, the GCF of 7283/553,2280/4103 is 1/2268959.
To find the highest common factor of 7283,2280, we have to find the factors of both numbers and list the highest common factor.
The factors of 7283 are 1, 7283
The factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
The HCF of 7283,2280 is 1.
Lets's calculate GCF of 7283,2280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7283,2280 By Matching Biggest Common Factor Method
Now, list down the factors of 7283
:1,7283
Now, list down the factors of 2280
:1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Greatest Common Factor
We found the factors 7283,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 7283,2280 is 1.
Lets's calculate LCM of 553,4103
Given numbers has no common factors except 1. So, there LCM is their product i.e 2268959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2268959
Therefore, the GCF of Fractions 7283/553,2280/4103 is 1/2268959
Least Common Multiple of 553,4103 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 553,4103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,4103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,4103) x common factors =1 x 1 = 1
LCM(553,4103) = ( 553 × 4103 ) / 1
LCM(553,4103) = 2268959 / 1
LCM(553,4103) = 2268959
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FAQs on GCF of Fractions of 7283/553, 2280/4103
1. What is the HCF of 7283,2280?
The HCF of 7283,2280 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 7283/553, 2280/4103?
Answer: GCF of Numerators as per given numbers 7283/553, 2280/4103 is
GCF of Numerators i.e. for 7283,2280 is 1
LCM of denominators i.e. for 553,4103 is 2268959.
Thus, GCF of Fractions is 1/2268959.Finally, GCF of Fractions for 7283/553, 2280/4103 is 1/2268959.