GCF of 110/37, 286/196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/37, 286/196 i.e 22/7252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/37, 286/196.
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 110/37,286/196?
Given fractions are 110/37,286/196
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 110/37,286/196, numerators are 110,286
Denominators are 37,196
The GCF of 110,286 is 22 .
LCM of 37,196 is 7252.
The greatest common factor of 110/37,286/196 = [GCF of 110,286]/[LCM of 37,196]= 22/7252
Therefore, the GCF of 110/37,286/196 is 22/7252.
To find the highest common factor of 110,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 110,286 is 22.
Lets's calculate GCF of 110,286
| 2 | 110, 286 |
| 11 | 55, 143 |
| 5, 13 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 110,286 By Matching Biggest Common Factor Method
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 110,286 . The biggest common factor number is the GCF number.
So the greatest common factor 110,286 is 22.
Lets's calculate LCM of 37,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 7252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/7252
Therefore, the GCF of Fractions 110/37,286/196 is 22/7252
Least Common Multiple of 37,196 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 37,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,196) x common factors =1 x 1 = 1
LCM(37,196) = ( 37 × 196 ) / 1
LCM(37,196) = 7252 / 1
LCM(37,196) = 7252
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FAQs on GCF of Fractions of 110/37, 286/196
1. What is the HCF of 110,286?
The HCF of 110,286 is 22
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 110/37, 286/196?
Answer: GCF of Numerators as per given numbers 110/37, 286/196 is
GCF of Numerators i.e. for 110,286 is 22
LCM of denominators i.e. for 37,196 is 7252.
Thus, GCF of Fractions is 22/7252.Finally, GCF of Fractions for 110/37, 286/196 is 22/7252.