GCF of 5524/902, 9177/2212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5524/902, 9177/2212 i.e 1/997612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5524/902, 9177/2212.
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 5524/902,9177/2212?
Given fractions are 5524/902,9177/2212
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 5524/902,9177/2212, numerators are 5524,9177
Denominators are 902,2212
The GCF of 5524,9177 is 1 .
LCM of 902,2212 is 997612.
The greatest common factor of 5524/902,9177/2212 = [GCF of 5524,9177]/[LCM of 902,2212]= 1/997612
Therefore, the GCF of 5524/902,9177/2212 is 1/997612.
To find the highest common factor of 5524,9177, we have to find the factors of both numbers and list the highest common factor.
The factors of 5524 are 1, 2, 4, 1381, 2762, 5524
The factors of 9177 are 1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177
The HCF of 5524,9177 is 1.
Lets's calculate GCF of 5524,9177
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5524,9177 By Matching Biggest Common Factor Method
Now, list down the factors of 5524
:1,2,4,1381,2762,5524
Now, list down the factors of 9177
:1,3,7,19,21,23,57,69,133,161,399,437,483,1311,3059,9177
Greatest Common Factor
We found the factors 5524,9177 . The biggest common factor number is the GCF number.
So the greatest common factor 5524,9177 is 1.
Lets's calculate LCM of 902,2212
| 2 | 902, 2212 |
| 451, 1106 |
∴ So the LCM of the given numbers is 2 x 451 x 1106 = 997612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997612
Therefore, the GCF of Fractions 5524/902,9177/2212 is 1/997612
Least Common Multiple of 902,2212 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 902,2212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,2212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,2212) x common factors =2 x 1 = 2
LCM(902,2212) = ( 902 × 2212 ) / 2
LCM(902,2212) = 1995224 / 2
LCM(902,2212) = 997612
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FAQs on GCF of Fractions of 5524/902, 9177/2212
1. What is the HCF of 5524,9177?
The HCF of 5524,9177 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 5524/902, 9177/2212?
Answer: GCF of Numerators as per given numbers 5524/902, 9177/2212 is
GCF of Numerators i.e. for 5524,9177 is 1
LCM of denominators i.e. for 902,2212 is 997612.
Thus, GCF of Fractions is 1/997612.Finally, GCF of Fractions for 5524/902, 9177/2212 is 1/997612.