GCF of 358/133, 5984/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 358/133, 5984/242 i.e 2/32186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/133, 5984/242.
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 358/133,5984/242?
Given fractions are 358/133,5984/242
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 358/133,5984/242, numerators are 358,5984
Denominators are 133,242
The GCF of 358,5984 is 2 .
LCM of 133,242 is 32186.
The greatest common factor of 358/133,5984/242 = [GCF of 358,5984]/[LCM of 133,242]= 2/32186
Therefore, the GCF of 358/133,5984/242 is 2/32186.
To find the highest common factor of 358,5984, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The HCF of 358,5984 is 2.
Lets's calculate GCF of 358,5984
| 2 | 358, 5984 |
| 179, 2992 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 358,5984 By Matching Biggest Common Factor Method
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Greatest Common Factor
We found the factors 358,5984 . The biggest common factor number is the GCF number.
So the greatest common factor 358,5984 is 2.
Lets's calculate LCM of 133,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 32186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32186
Therefore, the GCF of Fractions 358/133,5984/242 is 2/32186
Least Common Multiple of 133,242 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 133,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,242) x common factors =1 x 1 = 1
LCM(133,242) = ( 133 × 242 ) / 1
LCM(133,242) = 32186 / 1
LCM(133,242) = 32186
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FAQs on GCF of Fractions of 358/133, 5984/242
1. What is the HCF of 358,5984?
The HCF of 358,5984 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 358/133, 5984/242?
Answer: GCF of Numerators as per given numbers 358/133, 5984/242 is
GCF of Numerators i.e. for 358,5984 is 2
LCM of denominators i.e. for 133,242 is 32186.
Thus, GCF of Fractions is 2/32186.Finally, GCF of Fractions for 358/133, 5984/242 is 2/32186.