GCF of 684/623, 401/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 684/623, 401/753 i.e 1/469119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 684/623, 401/753.
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 684/623,401/753?
Given fractions are 684/623,401/753
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 684/623,401/753, numerators are 684,401
Denominators are 623,753
The GCF of 684,401 is 1 .
LCM of 623,753 is 469119.
The greatest common factor of 684/623,401/753 = [GCF of 684,401]/[LCM of 623,753]= 1/469119
Therefore, the GCF of 684/623,401/753 is 1/469119.
To find the highest common factor of 684,401, we have to find the factors of both numbers and list the highest common factor.
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The factors of 401 are 1, 401
The HCF of 684,401 is 1.
Lets's calculate GCF of 684,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 684,401 By Matching Biggest Common Factor Method
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 684,401 . The biggest common factor number is the GCF number.
So the greatest common factor 684,401 is 1.
Lets's calculate LCM of 623,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 469119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469119
Therefore, the GCF of Fractions 684/623,401/753 is 1/469119
Least Common Multiple of 623,753 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 623,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,753) x common factors =1 x 1 = 1
LCM(623,753) = ( 623 × 753 ) / 1
LCM(623,753) = 469119 / 1
LCM(623,753) = 469119
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FAQs on GCF of Fractions of 684/623, 401/753
1. What is the HCF of 684,401?
The HCF of 684,401 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 684/623, 401/753?
Answer: GCF of Numerators as per given numbers 684/623, 401/753 is
GCF of Numerators i.e. for 684,401 is 1
LCM of denominators i.e. for 623,753 is 469119.
Thus, GCF of Fractions is 1/469119.Finally, GCF of Fractions for 684/623, 401/753 is 1/469119.