GCF of 1347/923, 8635/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1347/923, 8635/415 i.e 1/383045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1347/923, 8635/415.
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 1347/923,8635/415?
Given fractions are 1347/923,8635/415
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 1347/923,8635/415, numerators are 1347,8635
Denominators are 923,415
The GCF of 1347,8635 is 1 .
LCM of 923,415 is 383045.
The greatest common factor of 1347/923,8635/415 = [GCF of 1347,8635]/[LCM of 923,415]= 1/383045
Therefore, the GCF of 1347/923,8635/415 is 1/383045.
To find the highest common factor of 1347,8635, we have to find the factors of both numbers and list the highest common factor.
The factors of 1347 are 1, 3, 449, 1347
The factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635
The HCF of 1347,8635 is 1.
Lets's calculate GCF of 1347,8635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1347,8635 By Matching Biggest Common Factor Method
Now, list down the factors of 1347
:1,3,449,1347
Now, list down the factors of 8635
:1,5,11,55,157,785,1727,8635
Greatest Common Factor
We found the factors 1347,8635 . The biggest common factor number is the GCF number.
So the greatest common factor 1347,8635 is 1.
Lets's calculate LCM of 923,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 383045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383045
Therefore, the GCF of Fractions 1347/923,8635/415 is 1/383045
Least Common Multiple of 923,415 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 923,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,415) x common factors =1 x 1 = 1
LCM(923,415) = ( 923 × 415 ) / 1
LCM(923,415) = 383045 / 1
LCM(923,415) = 383045
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FAQs on GCF of Fractions of 1347/923, 8635/415
1. What is the HCF of 1347,8635?
The HCF of 1347,8635 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 1347/923, 8635/415?
Answer: GCF of Numerators as per given numbers 1347/923, 8635/415 is
GCF of Numerators i.e. for 1347,8635 is 1
LCM of denominators i.e. for 923,415 is 383045.
Thus, GCF of Fractions is 1/383045.Finally, GCF of Fractions for 1347/923, 8635/415 is 1/383045.