GCF of 110/21, 275/556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/21, 275/556 i.e 55/11676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/21, 275/556.
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 110/21,275/556?
Given fractions are 110/21,275/556
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 110/21,275/556, numerators are 110,275
Denominators are 21,556
The GCF of 110,275 is 55 .
LCM of 21,556 is 11676.
The greatest common factor of 110/21,275/556 = [GCF of 110,275]/[LCM of 21,556]= 55/11676
Therefore, the GCF of 110/21,275/556 is 55/11676.
To find the highest common factor of 110,275, 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 275 are 1, 5, 11, 25, 55, 275
The HCF of 110,275 is 55.
Lets's calculate GCF of 110,275
| 5 | 110, 275 |
| 11 | 22, 55 |
| 2, 5 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 110,275 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 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 110,275 . The biggest common factor number is the GCF number.
So the greatest common factor 110,275 is 55.
Lets's calculate LCM of 21,556
Given numbers has no common factors except 1. So, there LCM is their product i.e 11676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/11676
Therefore, the GCF of Fractions 110/21,275/556 is 55/11676
Least Common Multiple of 21,556 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 21,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,556) x common factors =1 x 1 = 1
LCM(21,556) = ( 21 × 556 ) / 1
LCM(21,556) = 11676 / 1
LCM(21,556) = 11676
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FAQs on GCF of Fractions of 110/21, 275/556
1. What is the HCF of 110,275?
The HCF of 110,275 is 55
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 110/21, 275/556?
Answer: GCF of Numerators as per given numbers 110/21, 275/556 is
GCF of Numerators i.e. for 110,275 is 55
LCM of denominators i.e. for 21,556 is 11676.
Thus, GCF of Fractions is 55/11676.Finally, GCF of Fractions for 110/21, 275/556 is 55/11676.