GCF of 5582/342, 1870/8460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5582/342, 1870/8460 i.e 2/160740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5582/342, 1870/8460.
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 5582/342,1870/8460?
Given fractions are 5582/342,1870/8460
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 5582/342,1870/8460, numerators are 5582,1870
Denominators are 342,8460
The GCF of 5582,1870 is 2 .
LCM of 342,8460 is 160740.
The greatest common factor of 5582/342,1870/8460 = [GCF of 5582,1870]/[LCM of 342,8460]= 2/160740
Therefore, the GCF of 5582/342,1870/8460 is 2/160740.
To find the highest common factor of 5582,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5582 are 1, 2, 2791, 5582
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 5582,1870 is 2.
Lets's calculate GCF of 5582,1870
| 2 | 5582, 1870 |
| 2791, 935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5582,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 5582
:1,2,2791,5582
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 5582,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 5582,1870 is 2.
Lets's calculate LCM of 342,8460
| 2 | 342, 8460 |
| 3 | 171, 4230 |
| 3 | 57, 1410 |
| 19, 470 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 470 = 160740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160740
Therefore, the GCF of Fractions 5582/342,1870/8460 is 2/160740
Least Common Multiple of 342,8460 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 342,8460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,8460) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(342,8460) x common factors =18 x 1 = 18
LCM(342,8460) = ( 342 × 8460 ) / 18
LCM(342,8460) = 2893320 / 18
LCM(342,8460) = 160740
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FAQs on GCF of Fractions of 5582/342, 1870/8460
1. What is the HCF of 5582,1870?
The HCF of 5582,1870 is 2
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 5582/342, 1870/8460?
Answer: GCF of Numerators as per given numbers 5582/342, 1870/8460 is
GCF of Numerators i.e. for 5582,1870 is 2
LCM of denominators i.e. for 342,8460 is 160740.
Thus, GCF of Fractions is 2/160740.Finally, GCF of Fractions for 5582/342, 1870/8460 is 2/160740.