GCF of 2613/358, 7770/9265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2613/358, 7770/9265 i.e 3/3316870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2613/358, 7770/9265.
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 2613/358,7770/9265?
Given fractions are 2613/358,7770/9265
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 2613/358,7770/9265, numerators are 2613,7770
Denominators are 358,9265
The GCF of 2613,7770 is 3 .
LCM of 358,9265 is 3316870.
The greatest common factor of 2613/358,7770/9265 = [GCF of 2613,7770]/[LCM of 358,9265]= 3/3316870
Therefore, the GCF of 2613/358,7770/9265 is 3/3316870.
To find the highest common factor of 2613,7770, we have to find the factors of both numbers and list the highest common factor.
The factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613
The factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770
The HCF of 2613,7770 is 3.
Lets's calculate GCF of 2613,7770
| 3 | 2613, 7770 |
| 871, 2590 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2613,7770 By Matching Biggest Common Factor Method
Now, list down the factors of 2613
:1,3,13,39,67,201,871,2613
Now, list down the factors of 7770
:1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Greatest Common Factor
We found the factors 2613,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 2613,7770 is 3.
Lets's calculate LCM of 358,9265
Given numbers has no common factors except 1. So, there LCM is their product i.e 3316870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3316870
Therefore, the GCF of Fractions 2613/358,7770/9265 is 3/3316870
Least Common Multiple of 358,9265 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 358,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,9265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,9265) x common factors =1 x 1 = 1
LCM(358,9265) = ( 358 × 9265 ) / 1
LCM(358,9265) = 3316870 / 1
LCM(358,9265) = 3316870
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FAQs on GCF of Fractions of 2613/358, 7770/9265
1. What is the HCF of 2613,7770?
The HCF of 2613,7770 is 3
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 2613/358, 7770/9265?
Answer: GCF of Numerators as per given numbers 2613/358, 7770/9265 is
GCF of Numerators i.e. for 2613,7770 is 3
LCM of denominators i.e. for 358,9265 is 3316870.
Thus, GCF of Fractions is 3/3316870.Finally, GCF of Fractions for 2613/358, 7770/9265 is 3/3316870.