GCF of 2173/104, 7155/7601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2173/104, 7155/7601 i.e 53/790504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2173/104, 7155/7601.
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 2173/104,7155/7601?
Given fractions are 2173/104,7155/7601
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 2173/104,7155/7601, numerators are 2173,7155
Denominators are 104,7601
The GCF of 2173,7155 is 53 .
LCM of 104,7601 is 790504.
The greatest common factor of 2173/104,7155/7601 = [GCF of 2173,7155]/[LCM of 104,7601]= 53/790504
Therefore, the GCF of 2173/104,7155/7601 is 53/790504.
To find the highest common factor of 2173,7155, we have to find the factors of both numbers and list the highest common factor.
The factors of 2173 are 1, 41, 53, 2173
The factors of 7155 are 1, 3, 5, 9, 15, 27, 45, 53, 135, 159, 265, 477, 795, 1431, 2385, 7155
The HCF of 2173,7155 is 53.
Lets's calculate GCF of 2173,7155
| 53 | 2173, 7155 |
| 41, 135 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 2173,7155 By Matching Biggest Common Factor Method
Now, list down the factors of 2173
:1,41,53,2173
Now, list down the factors of 7155
:1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155
Greatest Common Factor
We found the factors 2173,7155 . The biggest common factor number is the GCF number.
So the greatest common factor 2173,7155 is 53.
Lets's calculate LCM of 104,7601
Given numbers has no common factors except 1. So, there LCM is their product i.e 790504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/790504
Therefore, the GCF of Fractions 2173/104,7155/7601 is 53/790504
Least Common Multiple of 104,7601 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 104,7601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,7601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,7601) x common factors =1 x 1 = 1
LCM(104,7601) = ( 104 × 7601 ) / 1
LCM(104,7601) = 790504 / 1
LCM(104,7601) = 790504
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FAQs on GCF of Fractions of 2173/104, 7155/7601
1. What is the HCF of 2173,7155?
The HCF of 2173,7155 is 53
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 2173/104, 7155/7601?
Answer: GCF of Numerators as per given numbers 2173/104, 7155/7601 is
GCF of Numerators i.e. for 2173,7155 is 53
LCM of denominators i.e. for 104,7601 is 790504.
Thus, GCF of Fractions is 53/790504.Finally, GCF of Fractions for 2173/104, 7155/7601 is 53/790504.