GCF of 7236/746, 7633/4191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7236/746, 7633/4191 i.e 1/3126486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7236/746, 7633/4191.
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 7236/746,7633/4191?
Given fractions are 7236/746,7633/4191
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 7236/746,7633/4191, numerators are 7236,7633
Denominators are 746,4191
The GCF of 7236,7633 is 1 .
LCM of 746,4191 is 3126486.
The greatest common factor of 7236/746,7633/4191 = [GCF of 7236,7633]/[LCM of 746,4191]= 1/3126486
Therefore, the GCF of 7236/746,7633/4191 is 1/3126486.
To find the highest common factor of 7236,7633, we have to find the factors of both numbers and list the highest common factor.
The factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236
The factors of 7633 are 1, 17, 449, 7633
The HCF of 7236,7633 is 1.
Lets's calculate GCF of 7236,7633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7236,7633 By Matching Biggest Common Factor Method
Now, list down the factors of 7236
:1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236
Now, list down the factors of 7633
:1,17,449,7633
Greatest Common Factor
We found the factors 7236,7633 . The biggest common factor number is the GCF number.
So the greatest common factor 7236,7633 is 1.
Lets's calculate LCM of 746,4191
Given numbers has no common factors except 1. So, there LCM is their product i.e 3126486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3126486
Therefore, the GCF of Fractions 7236/746,7633/4191 is 1/3126486
Least Common Multiple of 746,4191 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 746,4191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,4191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,4191) x common factors =1 x 1 = 1
LCM(746,4191) = ( 746 × 4191 ) / 1
LCM(746,4191) = 3126486 / 1
LCM(746,4191) = 3126486
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FAQs on GCF of Fractions of 7236/746, 7633/4191
1. What is the HCF of 7236,7633?
The HCF of 7236,7633 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 7236/746, 7633/4191?
Answer: GCF of Numerators as per given numbers 7236/746, 7633/4191 is
GCF of Numerators i.e. for 7236,7633 is 1
LCM of denominators i.e. for 746,4191 is 3126486.
Thus, GCF of Fractions is 1/3126486.Finally, GCF of Fractions for 7236/746, 7633/4191 is 1/3126486.