GCF of 97/62, 63/359, 400/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/62, 63/359, 400/843 i.e 1/18763494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/62, 63/359, 400/843.
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 97/62,63/359,400/843?
Given fractions are 97/62,63/359,400/843
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 97/62,63/359,400/843, numerators are 97,63,400
Denominators are 62,359,843
The GCF of 97,63,400 is 1 .
LCM of 62,359,843 is 18763494.
The greatest common factor of 97/62,63/359,400/843 = [GCF of 97,63,400]/[LCM of 62,359,843]= 1/18763494
Therefore, the GCF of 97/62,63/359,400/843 is 1/18763494.
To find the highest common factor of 97,63,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 97,63,400 is 1.
Lets's calculate GCF of 97,63,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,63,400 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 97,63,400 . The biggest common factor number is the GCF number.
So the greatest common factor 97,63,400 is 1.
Lets's calculate LCM of 62,359,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 18763494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18763494
Therefore, the GCF of Fractions 97/62,63/359,400/843 is 1/18763494
Least Common Multiple of 62,359,843 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 62,359,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,359,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,359,843) x common factors =1 x 1 = 1
LCM(62,359,843) = ( 62 × 359 × 843 ) / 1
LCM(62,359,843) = 18763494 / 1
LCM(62,359,843) = 18763494
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FAQs on GCF of Fractions of 97/62, 63/359, 400/843
1. What is the HCF of 97,63,400?
The HCF of 97,63,400 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 97/62, 63/359, 400/843?
Answer: GCF of Numerators as per given numbers 97/62, 63/359, 400/843 is
GCF of Numerators i.e. for 97,63,400 is 1
LCM of denominators i.e. for 62,359,843 is 18763494.
Thus, GCF of Fractions is 1/18763494.Finally, GCF of Fractions for 97/62, 63/359, 400/843 is 1/18763494.