GCF of 5516/575, 8222/4772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5516/575, 8222/4772 i.e 2/2743900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5516/575, 8222/4772.
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 5516/575,8222/4772?
Given fractions are 5516/575,8222/4772
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 5516/575,8222/4772, numerators are 5516,8222
Denominators are 575,4772
The GCF of 5516,8222 is 2 .
LCM of 575,4772 is 2743900.
The greatest common factor of 5516/575,8222/4772 = [GCF of 5516,8222]/[LCM of 575,4772]= 2/2743900
Therefore, the GCF of 5516/575,8222/4772 is 2/2743900.
To find the highest common factor of 5516,8222, we have to find the factors of both numbers and list the highest common factor.
The factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516
The factors of 8222 are 1, 2, 4111, 8222
The HCF of 5516,8222 is 2.
Lets's calculate GCF of 5516,8222
| 2 | 5516, 8222 |
| 2758, 4111 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5516,8222 By Matching Biggest Common Factor Method
Now, list down the factors of 5516
:1,2,4,7,14,28,197,394,788,1379,2758,5516
Now, list down the factors of 8222
:1,2,4111,8222
Greatest Common Factor
We found the factors 5516,8222 . The biggest common factor number is the GCF number.
So the greatest common factor 5516,8222 is 2.
Lets's calculate LCM of 575,4772
Given numbers has no common factors except 1. So, there LCM is their product i.e 2743900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2743900
Therefore, the GCF of Fractions 5516/575,8222/4772 is 2/2743900
Least Common Multiple of 575,4772 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 575,4772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,4772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,4772) x common factors =1 x 1 = 1
LCM(575,4772) = ( 575 × 4772 ) / 1
LCM(575,4772) = 2743900 / 1
LCM(575,4772) = 2743900
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FAQs on GCF of Fractions of 5516/575, 8222/4772
1. What is the HCF of 5516,8222?
The HCF of 5516,8222 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 5516/575, 8222/4772?
Answer: GCF of Numerators as per given numbers 5516/575, 8222/4772 is
GCF of Numerators i.e. for 5516,8222 is 2
LCM of denominators i.e. for 575,4772 is 2743900.
Thus, GCF of Fractions is 2/2743900.Finally, GCF of Fractions for 5516/575, 8222/4772 is 2/2743900.