GCF of 722/72, 963/4687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 722/72, 963/4687 i.e 1/337464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/72, 963/4687.
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 722/72,963/4687?
Given fractions are 722/72,963/4687
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 722/72,963/4687, numerators are 722,963
Denominators are 72,4687
The GCF of 722,963 is 1 .
LCM of 72,4687 is 337464.
The greatest common factor of 722/72,963/4687 = [GCF of 722,963]/[LCM of 72,4687]= 1/337464
Therefore, the GCF of 722/72,963/4687 is 1/337464.
To find the highest common factor of 722,963, we have to find the factors of both numbers and list the highest common factor.
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 963 are 1, 3, 9, 107, 321, 963
The HCF of 722,963 is 1.
Lets's calculate GCF of 722,963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 722,963 By Matching Biggest Common Factor Method
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 963
:1,3,9,107,321,963
Greatest Common Factor
We found the factors 722,963 . The biggest common factor number is the GCF number.
So the greatest common factor 722,963 is 1.
Lets's calculate LCM of 72,4687
Given numbers has no common factors except 1. So, there LCM is their product i.e 337464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337464
Therefore, the GCF of Fractions 722/72,963/4687 is 1/337464
Least Common Multiple of 72,4687 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 72,4687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,4687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,4687) x common factors =1 x 1 = 1
LCM(72,4687) = ( 72 × 4687 ) / 1
LCM(72,4687) = 337464 / 1
LCM(72,4687) = 337464
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FAQs on GCF of Fractions of 722/72, 963/4687
1. What is the HCF of 722,963?
The HCF of 722,963 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 722/72, 963/4687?
Answer: GCF of Numerators as per given numbers 722/72, 963/4687 is
GCF of Numerators i.e. for 722,963 is 1
LCM of denominators i.e. for 72,4687 is 337464.
Thus, GCF of Fractions is 1/337464.Finally, GCF of Fractions for 722/72, 963/4687 is 1/337464.