GCF of 8892/622, 4617/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8892/622, 4617/538 i.e 171/167318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8892/622, 4617/538.
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 8892/622,4617/538?
Given fractions are 8892/622,4617/538
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 8892/622,4617/538, numerators are 8892,4617
Denominators are 622,538
The GCF of 8892,4617 is 171 .
LCM of 622,538 is 167318.
The greatest common factor of 8892/622,4617/538 = [GCF of 8892,4617]/[LCM of 622,538]= 171/167318
Therefore, the GCF of 8892/622,4617/538 is 171/167318.
To find the highest common factor of 8892,4617, we have to find the factors of both numbers and list the highest common factor.
The factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892
The factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617
The HCF of 8892,4617 is 171.
Lets's calculate GCF of 8892,4617
| 3 | 8892, 4617 |
| 3 | 2964, 1539 |
| 19 | 988, 513 |
| 52, 27 |
∴ So the GCF of the given numbers is 3 x 3 x 19 = 171
Greatest Common Factor of 8892,4617 By Matching Biggest Common Factor Method
Now, list down the factors of 8892
:1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Now, list down the factors of 4617
:1,3,9,19,27,57,81,171,243,513,1539,4617
Greatest Common Factor
We found the factors 8892,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 8892,4617 is 171.
Lets's calculate LCM of 622,538
| 2 | 622, 538 |
| 311, 269 |
∴ So the LCM of the given numbers is 2 x 311 x 269 = 167318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 171/167318
Therefore, the GCF of Fractions 8892/622,4617/538 is 171/167318
Least Common Multiple of 622,538 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 622,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,538) x common factors =2 x 1 = 2
LCM(622,538) = ( 622 × 538 ) / 2
LCM(622,538) = 334636 / 2
LCM(622,538) = 167318
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FAQs on GCF of Fractions of 8892/622, 4617/538
1. What is the HCF of 8892,4617?
The HCF of 8892,4617 is 171
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 8892/622, 4617/538?
Answer: GCF of Numerators as per given numbers 8892/622, 4617/538 is
GCF of Numerators i.e. for 8892,4617 is 171
LCM of denominators i.e. for 622,538 is 167318.
Thus, GCF of Fractions is 171/167318.Finally, GCF of Fractions for 8892/622, 4617/538 is 171/167318.