GCF of 4117/657, 5633/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4117/657, 5633/136 i.e 1/89352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4117/657, 5633/136.
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 4117/657,5633/136?
Given fractions are 4117/657,5633/136
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 4117/657,5633/136, numerators are 4117,5633
Denominators are 657,136
The GCF of 4117,5633 is 1 .
LCM of 657,136 is 89352.
The greatest common factor of 4117/657,5633/136 = [GCF of 4117,5633]/[LCM of 657,136]= 1/89352
Therefore, the GCF of 4117/657,5633/136 is 1/89352.
To find the highest common factor of 4117,5633, we have to find the factors of both numbers and list the highest common factor.
The factors of 4117 are 1, 23, 179, 4117
The factors of 5633 are 1, 43, 131, 5633
The HCF of 4117,5633 is 1.
Lets's calculate GCF of 4117,5633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4117,5633 By Matching Biggest Common Factor Method
Now, list down the factors of 4117
:1,23,179,4117
Now, list down the factors of 5633
:1,43,131,5633
Greatest Common Factor
We found the factors 4117,5633 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,5633 is 1.
Lets's calculate LCM of 657,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 89352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89352
Therefore, the GCF of Fractions 4117/657,5633/136 is 1/89352
Least Common Multiple of 657,136 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 657,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,136) x common factors =1 x 1 = 1
LCM(657,136) = ( 657 × 136 ) / 1
LCM(657,136) = 89352 / 1
LCM(657,136) = 89352
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FAQs on GCF of Fractions of 4117/657, 5633/136
1. What is the HCF of 4117,5633?
The HCF of 4117,5633 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 4117/657, 5633/136?
Answer: GCF of Numerators as per given numbers 4117/657, 5633/136 is
GCF of Numerators i.e. for 4117,5633 is 1
LCM of denominators i.e. for 657,136 is 89352.
Thus, GCF of Fractions is 1/89352.Finally, GCF of Fractions for 4117/657, 5633/136 is 1/89352.