GCF of 5522/100, 8472/4079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5522/100, 8472/4079 i.e 2/407900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5522/100, 8472/4079.
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 5522/100,8472/4079?
Given fractions are 5522/100,8472/4079
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 5522/100,8472/4079, numerators are 5522,8472
Denominators are 100,4079
The GCF of 5522,8472 is 2 .
LCM of 100,4079 is 407900.
The greatest common factor of 5522/100,8472/4079 = [GCF of 5522,8472]/[LCM of 100,4079]= 2/407900
Therefore, the GCF of 5522/100,8472/4079 is 2/407900.
To find the highest common factor of 5522,8472, we have to find the factors of both numbers and list the highest common factor.
The factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The HCF of 5522,8472 is 2.
Lets's calculate GCF of 5522,8472
| 2 | 5522, 8472 |
| 2761, 4236 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5522,8472 By Matching Biggest Common Factor Method
Now, list down the factors of 5522
:1,2,11,22,251,502,2761,5522
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Greatest Common Factor
We found the factors 5522,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,8472 is 2.
Lets's calculate LCM of 100,4079
Given numbers has no common factors except 1. So, there LCM is their product i.e 407900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/407900
Therefore, the GCF of Fractions 5522/100,8472/4079 is 2/407900
Least Common Multiple of 100,4079 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 100,4079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,4079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,4079) x common factors =1 x 1 = 1
LCM(100,4079) = ( 100 × 4079 ) / 1
LCM(100,4079) = 407900 / 1
LCM(100,4079) = 407900
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FAQs on GCF of Fractions of 5522/100, 8472/4079
1. What is the HCF of 5522,8472?
The HCF of 5522,8472 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 5522/100, 8472/4079?
Answer: GCF of Numerators as per given numbers 5522/100, 8472/4079 is
GCF of Numerators i.e. for 5522,8472 is 2
LCM of denominators i.e. for 100,4079 is 407900.
Thus, GCF of Fractions is 2/407900.Finally, GCF of Fractions for 5522/100, 8472/4079 is 2/407900.