GCF of 1610/875, 4871/9022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1610/875, 4871/9022 i.e 1/7894250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1610/875, 4871/9022.
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 1610/875,4871/9022?
Given fractions are 1610/875,4871/9022
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 1610/875,4871/9022, numerators are 1610,4871
Denominators are 875,9022
The GCF of 1610,4871 is 1 .
LCM of 875,9022 is 7894250.
The greatest common factor of 1610/875,4871/9022 = [GCF of 1610,4871]/[LCM of 875,9022]= 1/7894250
Therefore, the GCF of 1610/875,4871/9022 is 1/7894250.
To find the highest common factor of 1610,4871, we have to find the factors of both numbers and list the highest common factor.
The factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610
The factors of 4871 are 1, 4871
The HCF of 1610,4871 is 1.
Lets's calculate GCF of 1610,4871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1610,4871 By Matching Biggest Common Factor Method
Now, list down the factors of 1610
:1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Now, list down the factors of 4871
:1,4871
Greatest Common Factor
We found the factors 1610,4871 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,4871 is 1.
Lets's calculate LCM of 875,9022
Given numbers has no common factors except 1. So, there LCM is their product i.e 7894250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7894250
Therefore, the GCF of Fractions 1610/875,4871/9022 is 1/7894250
Least Common Multiple of 875,9022 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 875,9022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,9022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,9022) x common factors =1 x 1 = 1
LCM(875,9022) = ( 875 × 9022 ) / 1
LCM(875,9022) = 7894250 / 1
LCM(875,9022) = 7894250
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FAQs on GCF of Fractions of 1610/875, 4871/9022
1. What is the HCF of 1610,4871?
The HCF of 1610,4871 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 1610/875, 4871/9022?
Answer: GCF of Numerators as per given numbers 1610/875, 4871/9022 is
GCF of Numerators i.e. for 1610,4871 is 1
LCM of denominators i.e. for 875,9022 is 7894250.
Thus, GCF of Fractions is 1/7894250.Finally, GCF of Fractions for 1610/875, 4871/9022 is 1/7894250.