GCF of 11/55, 440/20, 975/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/55, 440/20, 975/870 i.e 1/19140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/55, 440/20, 975/870.
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 11/55,440/20,975/870?
Given fractions are 11/55,440/20,975/870
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 11/55,440/20,975/870, numerators are 11,440,975
Denominators are 55,20,870
The GCF of 11,440,975 is 1 .
LCM of 55,20,870 is 19140.
The greatest common factor of 11/55,440/20,975/870 = [GCF of 11,440,975]/[LCM of 55,20,870]= 1/19140
Therefore, the GCF of 11/55,440/20,975/870 is 1/19140.
To find the highest common factor of 11,440,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 11,440,975 is 1.
Lets's calculate GCF of 11,440,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,440,975 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 11,440,975 . The biggest common factor number is the GCF number.
So the greatest common factor 11,440,975 is 1.
Lets's calculate LCM of 55,20,870
| 2 | 55, 20, 870 |
| 5 | 55, 10, 435 |
| 11, 2, 87 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 2 x 87 = 19140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19140
Therefore, the GCF of Fractions 11/55,440/20,975/870 is 1/19140
Least Common Multiple of 55,20,870 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 55,20,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,20,870) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(55,20,870) x common factors =5 x 10 = 50
LCM(55,20,870) = ( 55 × 20 × 870 ) / 50
LCM(55,20,870) = 957000 / 50
LCM(55,20,870) = 19140
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FAQs on GCF of Fractions of 11/55, 440/20, 975/870
1. What is the HCF of 11,440,975?
The HCF of 11,440,975 is 1
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 11/55, 440/20, 975/870?
Answer: GCF of Numerators as per given numbers 11/55, 440/20, 975/870 is
GCF of Numerators i.e. for 11,440,975 is 1
LCM of denominators i.e. for 55,20,870 is 19140.
Thus, GCF of Fractions is 1/19140.Finally, GCF of Fractions for 11/55, 440/20, 975/870 is 1/19140.