GCF of 552/55, 697/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 552/55, 697/200 i.e 1/2200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/55, 697/200.
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 552/55,697/200?
Given fractions are 552/55,697/200
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 552/55,697/200, numerators are 552,697
Denominators are 55,200
The GCF of 552,697 is 1 .
LCM of 55,200 is 2200.
The greatest common factor of 552/55,697/200 = [GCF of 552,697]/[LCM of 55,200]= 1/2200
Therefore, the GCF of 552/55,697/200 is 1/2200.
To find the highest common factor of 552,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 697 are 1, 17, 41, 697
The HCF of 552,697 is 1.
Lets's calculate GCF of 552,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 552,697 By Matching Biggest Common Factor Method
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 552,697 . The biggest common factor number is the GCF number.
So the greatest common factor 552,697 is 1.
Lets's calculate LCM of 55,200
| 5 | 55, 200 |
| 11, 40 |
∴ So the LCM of the given numbers is 5 x 11 x 40 = 2200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2200
Therefore, the GCF of Fractions 552/55,697/200 is 1/2200
Least Common Multiple of 55,200 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 55,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,200) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(55,200) x common factors =5 x 1 = 5
LCM(55,200) = ( 55 × 200 ) / 5
LCM(55,200) = 11000 / 5
LCM(55,200) = 2200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 552/55, 697/200
1. What is the HCF of 552,697?
The HCF of 552,697 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 552/55, 697/200?
Answer: GCF of Numerators as per given numbers 552/55, 697/200 is
GCF of Numerators i.e. for 552,697 is 1
LCM of denominators i.e. for 55,200 is 2200.
Thus, GCF of Fractions is 1/2200.Finally, GCF of Fractions for 552/55, 697/200 is 1/2200.