GCF of 4073/851, 8710/1940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4073/851, 8710/1940 i.e 1/1650940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4073/851, 8710/1940.
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 4073/851,8710/1940?
Given fractions are 4073/851,8710/1940
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 4073/851,8710/1940, numerators are 4073,8710
Denominators are 851,1940
The GCF of 4073,8710 is 1 .
LCM of 851,1940 is 1650940.
The greatest common factor of 4073/851,8710/1940 = [GCF of 4073,8710]/[LCM of 851,1940]= 1/1650940
Therefore, the GCF of 4073/851,8710/1940 is 1/1650940.
To find the highest common factor of 4073,8710, we have to find the factors of both numbers and list the highest common factor.
The factors of 4073 are 1, 4073
The factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710
The HCF of 4073,8710 is 1.
Lets's calculate GCF of 4073,8710
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4073,8710 By Matching Biggest Common Factor Method
Now, list down the factors of 4073
:1,4073
Now, list down the factors of 8710
:1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Greatest Common Factor
We found the factors 4073,8710 . The biggest common factor number is the GCF number.
So the greatest common factor 4073,8710 is 1.
Lets's calculate LCM of 851,1940
Given numbers has no common factors except 1. So, there LCM is their product i.e 1650940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1650940
Therefore, the GCF of Fractions 4073/851,8710/1940 is 1/1650940
Least Common Multiple of 851,1940 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 851,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,1940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,1940) x common factors =1 x 1 = 1
LCM(851,1940) = ( 851 × 1940 ) / 1
LCM(851,1940) = 1650940 / 1
LCM(851,1940) = 1650940
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FAQs on GCF of Fractions of 4073/851, 8710/1940
1. What is the HCF of 4073,8710?
The HCF of 4073,8710 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 4073/851, 8710/1940?
Answer: GCF of Numerators as per given numbers 4073/851, 8710/1940 is
GCF of Numerators i.e. for 4073,8710 is 1
LCM of denominators i.e. for 851,1940 is 1650940.
Thus, GCF of Fractions is 1/1650940.Finally, GCF of Fractions for 4073/851, 8710/1940 is 1/1650940.