GCF of 844/97, 728/7401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/97, 728/7401 i.e 4/717897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/97, 728/7401.
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 844/97,728/7401?
Given fractions are 844/97,728/7401
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 844/97,728/7401, numerators are 844,728
Denominators are 97,7401
The GCF of 844,728 is 4 .
LCM of 97,7401 is 717897.
The greatest common factor of 844/97,728/7401 = [GCF of 844,728]/[LCM of 97,7401]= 4/717897
Therefore, the GCF of 844/97,728/7401 is 4/717897.
To find the highest common factor of 844,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 844,728 is 4.
Lets's calculate GCF of 844,728
| 2 | 844, 728 |
| 2 | 422, 364 |
| 211, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 844,728 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 844,728 . The biggest common factor number is the GCF number.
So the greatest common factor 844,728 is 4.
Lets's calculate LCM of 97,7401
Given numbers has no common factors except 1. So, there LCM is their product i.e 717897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/717897
Therefore, the GCF of Fractions 844/97,728/7401 is 4/717897
Least Common Multiple of 97,7401 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 97,7401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,7401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,7401) x common factors =1 x 1 = 1
LCM(97,7401) = ( 97 × 7401 ) / 1
LCM(97,7401) = 717897 / 1
LCM(97,7401) = 717897
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FAQs on GCF of Fractions of 844/97, 728/7401
1. What is the HCF of 844,728?
The HCF of 844,728 is 4
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 844/97, 728/7401?
Answer: GCF of Numerators as per given numbers 844/97, 728/7401 is
GCF of Numerators i.e. for 844,728 is 4
LCM of denominators i.e. for 97,7401 is 717897.
Thus, GCF of Fractions is 4/717897.Finally, GCF of Fractions for 844/97, 728/7401 is 4/717897.