GCF of 9474/421, 2765/3888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9474/421, 2765/3888 i.e 1/1636848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9474/421, 2765/3888.
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 9474/421,2765/3888?
Given fractions are 9474/421,2765/3888
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 9474/421,2765/3888, numerators are 9474,2765
Denominators are 421,3888
The GCF of 9474,2765 is 1 .
LCM of 421,3888 is 1636848.
The greatest common factor of 9474/421,2765/3888 = [GCF of 9474,2765]/[LCM of 421,3888]= 1/1636848
Therefore, the GCF of 9474/421,2765/3888 is 1/1636848.
To find the highest common factor of 9474,2765, we have to find the factors of both numbers and list the highest common factor.
The factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474
The factors of 2765 are 1, 5, 7, 35, 79, 395, 553, 2765
The HCF of 9474,2765 is 1.
Lets's calculate GCF of 9474,2765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9474,2765 By Matching Biggest Common Factor Method
Now, list down the factors of 9474
:1,2,3,6,1579,3158,4737,9474
Now, list down the factors of 2765
:1,5,7,35,79,395,553,2765
Greatest Common Factor
We found the factors 9474,2765 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,2765 is 1.
Lets's calculate LCM of 421,3888
Given numbers has no common factors except 1. So, there LCM is their product i.e 1636848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1636848
Therefore, the GCF of Fractions 9474/421,2765/3888 is 1/1636848
Least Common Multiple of 421,3888 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 421,3888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,3888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,3888) x common factors =1 x 1 = 1
LCM(421,3888) = ( 421 × 3888 ) / 1
LCM(421,3888) = 1636848 / 1
LCM(421,3888) = 1636848
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FAQs on GCF of Fractions of 9474/421, 2765/3888
1. What is the HCF of 9474,2765?
The HCF of 9474,2765 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 9474/421, 2765/3888?
Answer: GCF of Numerators as per given numbers 9474/421, 2765/3888 is
GCF of Numerators i.e. for 9474,2765 is 1
LCM of denominators i.e. for 421,3888 is 1636848.
Thus, GCF of Fractions is 1/1636848.Finally, GCF of Fractions for 9474/421, 2765/3888 is 1/1636848.