GCF of 2610/932, 7453/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2610/932, 7453/815 i.e 29/759580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2610/932, 7453/815.
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 2610/932,7453/815?
Given fractions are 2610/932,7453/815
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 2610/932,7453/815, numerators are 2610,7453
Denominators are 932,815
The GCF of 2610,7453 is 29 .
LCM of 932,815 is 759580.
The greatest common factor of 2610/932,7453/815 = [GCF of 2610,7453]/[LCM of 932,815]= 29/759580
Therefore, the GCF of 2610/932,7453/815 is 29/759580.
To find the highest common factor of 2610,7453, we have to find the factors of both numbers and list the highest common factor.
The factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610
The factors of 7453 are 1, 29, 257, 7453
The HCF of 2610,7453 is 29.
Lets's calculate GCF of 2610,7453
| 29 | 2610, 7453 |
| 90, 257 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 2610,7453 By Matching Biggest Common Factor Method
Now, list down the factors of 2610
:1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610
Now, list down the factors of 7453
:1,29,257,7453
Greatest Common Factor
We found the factors 2610,7453 . The biggest common factor number is the GCF number.
So the greatest common factor 2610,7453 is 29.
Lets's calculate LCM of 932,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 759580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/759580
Therefore, the GCF of Fractions 2610/932,7453/815 is 29/759580
Least Common Multiple of 932,815 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 932,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(932,815) x common factors =1 x 1 = 1
LCM(932,815) = ( 932 × 815 ) / 1
LCM(932,815) = 759580 / 1
LCM(932,815) = 759580
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FAQs on GCF of Fractions of 2610/932, 7453/815
1. What is the HCF of 2610,7453?
The HCF of 2610,7453 is 29
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 2610/932, 7453/815?
Answer: GCF of Numerators as per given numbers 2610/932, 7453/815 is
GCF of Numerators i.e. for 2610,7453 is 29
LCM of denominators i.e. for 932,815 is 759580.
Thus, GCF of Fractions is 29/759580.Finally, GCF of Fractions for 2610/932, 7453/815 is 29/759580.