GCF of 3053/818, 7110/3796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3053/818, 7110/3796 i.e 1/1552564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3053/818, 7110/3796.
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 3053/818,7110/3796?
Given fractions are 3053/818,7110/3796
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 3053/818,7110/3796, numerators are 3053,7110
Denominators are 818,3796
The GCF of 3053,7110 is 1 .
LCM of 818,3796 is 1552564.
The greatest common factor of 3053/818,7110/3796 = [GCF of 3053,7110]/[LCM of 818,3796]= 1/1552564
Therefore, the GCF of 3053/818,7110/3796 is 1/1552564.
To find the highest common factor of 3053,7110, we have to find the factors of both numbers and list the highest common factor.
The factors of 3053 are 1, 43, 71, 3053
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The HCF of 3053,7110 is 1.
Lets's calculate GCF of 3053,7110
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3053,7110 By Matching Biggest Common Factor Method
Now, list down the factors of 3053
:1,43,71,3053
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Greatest Common Factor
We found the factors 3053,7110 . The biggest common factor number is the GCF number.
So the greatest common factor 3053,7110 is 1.
Lets's calculate LCM of 818,3796
| 2 | 818, 3796 |
| 409, 1898 |
∴ So the LCM of the given numbers is 2 x 409 x 1898 = 1552564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1552564
Therefore, the GCF of Fractions 3053/818,7110/3796 is 1/1552564
Least Common Multiple of 818,3796 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 818,3796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,3796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,3796) x common factors =2 x 1 = 2
LCM(818,3796) = ( 818 × 3796 ) / 2
LCM(818,3796) = 3105128 / 2
LCM(818,3796) = 1552564
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FAQs on GCF of Fractions of 3053/818, 7110/3796
1. What is the HCF of 3053,7110?
The HCF of 3053,7110 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 3053/818, 7110/3796?
Answer: GCF of Numerators as per given numbers 3053/818, 7110/3796 is
GCF of Numerators i.e. for 3053,7110 is 1
LCM of denominators i.e. for 818,3796 is 1552564.
Thus, GCF of Fractions is 1/1552564.Finally, GCF of Fractions for 3053/818, 7110/3796 is 1/1552564.