GCF of 5958/180, 2134/5910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5958/180, 2134/5910 i.e 2/35460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5958/180, 2134/5910.
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 5958/180,2134/5910?
Given fractions are 5958/180,2134/5910
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 5958/180,2134/5910, numerators are 5958,2134
Denominators are 180,5910
The GCF of 5958,2134 is 2 .
LCM of 180,5910 is 35460.
The greatest common factor of 5958/180,2134/5910 = [GCF of 5958,2134]/[LCM of 180,5910]= 2/35460
Therefore, the GCF of 5958/180,2134/5910 is 2/35460.
To find the highest common factor of 5958,2134, we have to find the factors of both numbers and list the highest common factor.
The factors of 5958 are 1, 2, 3, 6, 9, 18, 331, 662, 993, 1986, 2979, 5958
The factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134
The HCF of 5958,2134 is 2.
Lets's calculate GCF of 5958,2134
| 2 | 5958, 2134 |
| 2979, 1067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5958,2134 By Matching Biggest Common Factor Method
Now, list down the factors of 5958
:1,2,3,6,9,18,331,662,993,1986,2979,5958
Now, list down the factors of 2134
:1,2,11,22,97,194,1067,2134
Greatest Common Factor
We found the factors 5958,2134 . The biggest common factor number is the GCF number.
So the greatest common factor 5958,2134 is 2.
Lets's calculate LCM of 180,5910
| 2 | 180, 5910 |
| 3 | 90, 2955 |
| 5 | 30, 985 |
| 6, 197 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 6 x 197 = 35460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35460
Therefore, the GCF of Fractions 5958/180,2134/5910 is 2/35460
Least Common Multiple of 180,5910 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 180,5910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,5910) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(180,5910) x common factors =30 x 1 = 30
LCM(180,5910) = ( 180 × 5910 ) / 30
LCM(180,5910) = 1063800 / 30
LCM(180,5910) = 35460
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FAQs on GCF of Fractions of 5958/180, 2134/5910
1. What is the HCF of 5958,2134?
The HCF of 5958,2134 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 5958/180, 2134/5910?
Answer: GCF of Numerators as per given numbers 5958/180, 2134/5910 is
GCF of Numerators i.e. for 5958,2134 is 2
LCM of denominators i.e. for 180,5910 is 35460.
Thus, GCF of Fractions is 2/35460.Finally, GCF of Fractions for 5958/180, 2134/5910 is 2/35460.