GCF of 2914/923, 5235/2134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2914/923, 5235/2134 i.e 1/1969682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2914/923, 5235/2134.
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 2914/923,5235/2134?
Given fractions are 2914/923,5235/2134
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 2914/923,5235/2134, numerators are 2914,5235
Denominators are 923,2134
The GCF of 2914,5235 is 1 .
LCM of 923,2134 is 1969682.
The greatest common factor of 2914/923,5235/2134 = [GCF of 2914,5235]/[LCM of 923,2134]= 1/1969682
Therefore, the GCF of 2914/923,5235/2134 is 1/1969682.
To find the highest common factor of 2914,5235, we have to find the factors of both numbers and list the highest common factor.
The factors of 2914 are 1, 2, 31, 47, 62, 94, 1457, 2914
The factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235
The HCF of 2914,5235 is 1.
Lets's calculate GCF of 2914,5235
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2914,5235 By Matching Biggest Common Factor Method
Now, list down the factors of 2914
:1,2,31,47,62,94,1457,2914
Now, list down the factors of 5235
:1,3,5,15,349,1047,1745,5235
Greatest Common Factor
We found the factors 2914,5235 . The biggest common factor number is the GCF number.
So the greatest common factor 2914,5235 is 1.
Lets's calculate LCM of 923,2134
Given numbers has no common factors except 1. So, there LCM is their product i.e 1969682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1969682
Therefore, the GCF of Fractions 2914/923,5235/2134 is 1/1969682
Least Common Multiple of 923,2134 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 923,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,2134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,2134) x common factors =1 x 1 = 1
LCM(923,2134) = ( 923 × 2134 ) / 1
LCM(923,2134) = 1969682 / 1
LCM(923,2134) = 1969682
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FAQs on GCF of Fractions of 2914/923, 5235/2134
1. What is the HCF of 2914,5235?
The HCF of 2914,5235 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 2914/923, 5235/2134?
Answer: GCF of Numerators as per given numbers 2914/923, 5235/2134 is
GCF of Numerators i.e. for 2914,5235 is 1
LCM of denominators i.e. for 923,2134 is 1969682.
Thus, GCF of Fractions is 1/1969682.Finally, GCF of Fractions for 2914/923, 5235/2134 is 1/1969682.