GCF of 9043/751, 3076/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9043/751, 3076/850 i.e 1/638350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9043/751, 3076/850.
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 9043/751,3076/850?
Given fractions are 9043/751,3076/850
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 9043/751,3076/850, numerators are 9043,3076
Denominators are 751,850
The GCF of 9043,3076 is 1 .
LCM of 751,850 is 638350.
The greatest common factor of 9043/751,3076/850 = [GCF of 9043,3076]/[LCM of 751,850]= 1/638350
Therefore, the GCF of 9043/751,3076/850 is 1/638350.
To find the highest common factor of 9043,3076, we have to find the factors of both numbers and list the highest common factor.
The factors of 9043 are 1, 9043
The factors of 3076 are 1, 2, 4, 769, 1538, 3076
The HCF of 9043,3076 is 1.
Lets's calculate GCF of 9043,3076
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9043,3076 By Matching Biggest Common Factor Method
Now, list down the factors of 9043
:1,9043
Now, list down the factors of 3076
:1,2,4,769,1538,3076
Greatest Common Factor
We found the factors 9043,3076 . The biggest common factor number is the GCF number.
So the greatest common factor 9043,3076 is 1.
Lets's calculate LCM of 751,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 638350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638350
Therefore, the GCF of Fractions 9043/751,3076/850 is 1/638350
Least Common Multiple of 751,850 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 751,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,850) x common factors =1 x 1 = 1
LCM(751,850) = ( 751 × 850 ) / 1
LCM(751,850) = 638350 / 1
LCM(751,850) = 638350
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FAQs on GCF of Fractions of 9043/751, 3076/850
1. What is the HCF of 9043,3076?
The HCF of 9043,3076 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 9043/751, 3076/850?
Answer: GCF of Numerators as per given numbers 9043/751, 3076/850 is
GCF of Numerators i.e. for 9043,3076 is 1
LCM of denominators i.e. for 751,850 is 638350.
Thus, GCF of Fractions is 1/638350.Finally, GCF of Fractions for 9043/751, 3076/850 is 1/638350.