GCF of 431/971, 7636/5962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 431/971, 7636/5962 i.e 1/5789102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/971, 7636/5962.
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 431/971,7636/5962?
Given fractions are 431/971,7636/5962
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 431/971,7636/5962, numerators are 431,7636
Denominators are 971,5962
The GCF of 431,7636 is 1 .
LCM of 971,5962 is 5789102.
The greatest common factor of 431/971,7636/5962 = [GCF of 431,7636]/[LCM of 971,5962]= 1/5789102
Therefore, the GCF of 431/971,7636/5962 is 1/5789102.
To find the highest common factor of 431,7636, we have to find the factors of both numbers and list the highest common factor.
The factors of 431 are 1, 431
The factors of 7636 are 1, 2, 4, 23, 46, 83, 92, 166, 332, 1909, 3818, 7636
The HCF of 431,7636 is 1.
Lets's calculate GCF of 431,7636
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 431,7636 By Matching Biggest Common Factor Method
Now, list down the factors of 431
:1,431
Now, list down the factors of 7636
:1,2,4,23,46,83,92,166,332,1909,3818,7636
Greatest Common Factor
We found the factors 431,7636 . The biggest common factor number is the GCF number.
So the greatest common factor 431,7636 is 1.
Lets's calculate LCM of 971,5962
Given numbers has no common factors except 1. So, there LCM is their product i.e 5789102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5789102
Therefore, the GCF of Fractions 431/971,7636/5962 is 1/5789102
Least Common Multiple of 971,5962 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 971,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,5962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,5962) x common factors =1 x 1 = 1
LCM(971,5962) = ( 971 × 5962 ) / 1
LCM(971,5962) = 5789102 / 1
LCM(971,5962) = 5789102
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FAQs on GCF of Fractions of 431/971, 7636/5962
1. What is the HCF of 431,7636?
The HCF of 431,7636 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 431/971, 7636/5962?
Answer: GCF of Numerators as per given numbers 431/971, 7636/5962 is
GCF of Numerators i.e. for 431,7636 is 1
LCM of denominators i.e. for 971,5962 is 5789102.
Thus, GCF of Fractions is 1/5789102.Finally, GCF of Fractions for 431/971, 7636/5962 is 1/5789102.