GCF of 8852/651, 3737/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8852/651, 3737/277 i.e 1/180327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8852/651, 3737/277.
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 8852/651,3737/277?
Given fractions are 8852/651,3737/277
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 8852/651,3737/277, numerators are 8852,3737
Denominators are 651,277
The GCF of 8852,3737 is 1 .
LCM of 651,277 is 180327.
The greatest common factor of 8852/651,3737/277 = [GCF of 8852,3737]/[LCM of 651,277]= 1/180327
Therefore, the GCF of 8852/651,3737/277 is 1/180327.
To find the highest common factor of 8852,3737, we have to find the factors of both numbers and list the highest common factor.
The factors of 8852 are 1, 2, 4, 2213, 4426, 8852
The factors of 3737 are 1, 37, 101, 3737
The HCF of 8852,3737 is 1.
Lets's calculate GCF of 8852,3737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8852,3737 By Matching Biggest Common Factor Method
Now, list down the factors of 8852
:1,2,4,2213,4426,8852
Now, list down the factors of 3737
:1,37,101,3737
Greatest Common Factor
We found the factors 8852,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 8852,3737 is 1.
Lets's calculate LCM of 651,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 180327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180327
Therefore, the GCF of Fractions 8852/651,3737/277 is 1/180327
Least Common Multiple of 651,277 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 651,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,277) x common factors =1 x 1 = 1
LCM(651,277) = ( 651 × 277 ) / 1
LCM(651,277) = 180327 / 1
LCM(651,277) = 180327
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FAQs on GCF of Fractions of 8852/651, 3737/277
1. What is the HCF of 8852,3737?
The HCF of 8852,3737 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 8852/651, 3737/277?
Answer: GCF of Numerators as per given numbers 8852/651, 3737/277 is
GCF of Numerators i.e. for 8852,3737 is 1
LCM of denominators i.e. for 651,277 is 180327.
Thus, GCF of Fractions is 1/180327.Finally, GCF of Fractions for 8852/651, 3737/277 is 1/180327.