GCF of 7227/932, 4602/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7227/932, 4602/418 i.e 3/194788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7227/932, 4602/418.
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 7227/932,4602/418?
Given fractions are 7227/932,4602/418
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 7227/932,4602/418, numerators are 7227,4602
Denominators are 932,418
The GCF of 7227,4602 is 3 .
LCM of 932,418 is 194788.
The greatest common factor of 7227/932,4602/418 = [GCF of 7227,4602]/[LCM of 932,418]= 3/194788
Therefore, the GCF of 7227/932,4602/418 is 3/194788.
To find the highest common factor of 7227,4602, we have to find the factors of both numbers and list the highest common factor.
The factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227
The factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602
The HCF of 7227,4602 is 3.
Lets's calculate GCF of 7227,4602
| 3 | 7227, 4602 |
| 2409, 1534 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7227,4602 By Matching Biggest Common Factor Method
Now, list down the factors of 7227
:1,3,9,11,33,73,99,219,657,803,2409,7227
Now, list down the factors of 4602
:1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 7227,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 7227,4602 is 3.
Lets's calculate LCM of 932,418
| 2 | 932, 418 |
| 466, 209 |
∴ So the LCM of the given numbers is 2 x 466 x 209 = 194788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/194788
Therefore, the GCF of Fractions 7227/932,4602/418 is 3/194788
Least Common Multiple of 932,418 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 932,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,418) x common factors =2 x 1 = 2
LCM(932,418) = ( 932 × 418 ) / 2
LCM(932,418) = 389576 / 2
LCM(932,418) = 194788
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FAQs on GCF of Fractions of 7227/932, 4602/418
1. What is the HCF of 7227,4602?
The HCF of 7227,4602 is 3
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 7227/932, 4602/418?
Answer: GCF of Numerators as per given numbers 7227/932, 4602/418 is
GCF of Numerators i.e. for 7227,4602 is 3
LCM of denominators i.e. for 932,418 is 194788.
Thus, GCF of Fractions is 3/194788.Finally, GCF of Fractions for 7227/932, 4602/418 is 3/194788.