GCF of 2923/414, 5024/397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2923/414, 5024/397 i.e 1/164358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2923/414, 5024/397.
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 2923/414,5024/397?
Given fractions are 2923/414,5024/397
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 2923/414,5024/397, numerators are 2923,5024
Denominators are 414,397
The GCF of 2923,5024 is 1 .
LCM of 414,397 is 164358.
The greatest common factor of 2923/414,5024/397 = [GCF of 2923,5024]/[LCM of 414,397]= 1/164358
Therefore, the GCF of 2923/414,5024/397 is 1/164358.
To find the highest common factor of 2923,5024, we have to find the factors of both numbers and list the highest common factor.
The factors of 2923 are 1, 37, 79, 2923
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The HCF of 2923,5024 is 1.
Lets's calculate GCF of 2923,5024
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2923,5024 By Matching Biggest Common Factor Method
Now, list down the factors of 2923
:1,37,79,2923
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Greatest Common Factor
We found the factors 2923,5024 . The biggest common factor number is the GCF number.
So the greatest common factor 2923,5024 is 1.
Lets's calculate LCM of 414,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 164358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164358
Therefore, the GCF of Fractions 2923/414,5024/397 is 1/164358
Least Common Multiple of 414,397 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 414,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,397) x common factors =1 x 1 = 1
LCM(414,397) = ( 414 × 397 ) / 1
LCM(414,397) = 164358 / 1
LCM(414,397) = 164358
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FAQs on GCF of Fractions of 2923/414, 5024/397
1. What is the HCF of 2923,5024?
The HCF of 2923,5024 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 2923/414, 5024/397?
Answer: GCF of Numerators as per given numbers 2923/414, 5024/397 is
GCF of Numerators i.e. for 2923,5024 is 1
LCM of denominators i.e. for 414,397 is 164358.
Thus, GCF of Fractions is 1/164358.Finally, GCF of Fractions for 2923/414, 5024/397 is 1/164358.