GCF of 43/871, 44/941, 695/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/871, 44/941, 695/574 i.e 1/470456714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/871, 44/941, 695/574.
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 43/871,44/941,695/574?
Given fractions are 43/871,44/941,695/574
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 43/871,44/941,695/574, numerators are 43,44,695
Denominators are 871,941,574
The GCF of 43,44,695 is 1 .
LCM of 871,941,574 is 470456714.
The greatest common factor of 43/871,44/941,695/574 = [GCF of 43,44,695]/[LCM of 871,941,574]= 1/470456714
Therefore, the GCF of 43/871,44/941,695/574 is 1/470456714.
To find the highest common factor of 43,44,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 695 are 1, 5, 139, 695
The HCF of 43,44,695 is 1.
Lets's calculate GCF of 43,44,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,44,695 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 43,44,695 . The biggest common factor number is the GCF number.
So the greatest common factor 43,44,695 is 1.
Lets's calculate LCM of 871,941,574
Given numbers has no common factors except 1. So, there LCM is their product i.e 470456714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470456714
Therefore, the GCF of Fractions 43/871,44/941,695/574 is 1/470456714
Least Common Multiple of 871,941,574 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 871,941,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,941,574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,941,574) x common factors =1 x 1 = 1
LCM(871,941,574) = ( 871 × 941 × 574 ) / 1
LCM(871,941,574) = 470456714 / 1
LCM(871,941,574) = 470456714
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FAQs on GCF of Fractions of 43/871, 44/941, 695/574
1. What is the HCF of 43,44,695?
The HCF of 43,44,695 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 43/871, 44/941, 695/574?
Answer: GCF of Numerators as per given numbers 43/871, 44/941, 695/574 is
GCF of Numerators i.e. for 43,44,695 is 1
LCM of denominators i.e. for 871,941,574 is 470456714.
Thus, GCF of Fractions is 1/470456714.Finally, GCF of Fractions for 43/871, 44/941, 695/574 is 1/470456714.