GCF of 2504/902, 1063/6575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2504/902, 1063/6575 i.e 1/5930650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2504/902, 1063/6575.
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 2504/902,1063/6575?
Given fractions are 2504/902,1063/6575
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 2504/902,1063/6575, numerators are 2504,1063
Denominators are 902,6575
The GCF of 2504,1063 is 1 .
LCM of 902,6575 is 5930650.
The greatest common factor of 2504/902,1063/6575 = [GCF of 2504,1063]/[LCM of 902,6575]= 1/5930650
Therefore, the GCF of 2504/902,1063/6575 is 1/5930650.
To find the highest common factor of 2504,1063, we have to find the factors of both numbers and list the highest common factor.
The factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504
The factors of 1063 are 1, 1063
The HCF of 2504,1063 is 1.
Lets's calculate GCF of 2504,1063
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2504,1063 By Matching Biggest Common Factor Method
Now, list down the factors of 2504
:1,2,4,8,313,626,1252,2504
Now, list down the factors of 1063
:1,1063
Greatest Common Factor
We found the factors 2504,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 2504,1063 is 1.
Lets's calculate LCM of 902,6575
Given numbers has no common factors except 1. So, there LCM is their product i.e 5930650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5930650
Therefore, the GCF of Fractions 2504/902,1063/6575 is 1/5930650
Least Common Multiple of 902,6575 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 902,6575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,6575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,6575) x common factors =1 x 1 = 1
LCM(902,6575) = ( 902 × 6575 ) / 1
LCM(902,6575) = 5930650 / 1
LCM(902,6575) = 5930650
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FAQs on GCF of Fractions of 2504/902, 1063/6575
1. What is the HCF of 2504,1063?
The HCF of 2504,1063 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 2504/902, 1063/6575?
Answer: GCF of Numerators as per given numbers 2504/902, 1063/6575 is
GCF of Numerators i.e. for 2504,1063 is 1
LCM of denominators i.e. for 902,6575 is 5930650.
Thus, GCF of Fractions is 1/5930650.Finally, GCF of Fractions for 2504/902, 1063/6575 is 1/5930650.