GCF of 9018/224, 6272/3948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9018/224, 6272/3948 i.e 2/31584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9018/224, 6272/3948.
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 9018/224,6272/3948?
Given fractions are 9018/224,6272/3948
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 9018/224,6272/3948, numerators are 9018,6272
Denominators are 224,3948
The GCF of 9018,6272 is 2 .
LCM of 224,3948 is 31584.
The greatest common factor of 9018/224,6272/3948 = [GCF of 9018,6272]/[LCM of 224,3948]= 2/31584
Therefore, the GCF of 9018/224,6272/3948 is 2/31584.
To find the highest common factor of 9018,6272, we have to find the factors of both numbers and list the highest common factor.
The factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
The factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272
The HCF of 9018,6272 is 2.
Lets's calculate GCF of 9018,6272
| 2 | 9018, 6272 |
| 4509, 3136 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9018,6272 By Matching Biggest Common Factor Method
Now, list down the factors of 9018
:1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Now, list down the factors of 6272
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272
Greatest Common Factor
We found the factors 9018,6272 . The biggest common factor number is the GCF number.
So the greatest common factor 9018,6272 is 2.
Lets's calculate LCM of 224,3948
| 2 | 224, 3948 |
| 2 | 112, 1974 |
| 7 | 56, 987 |
| 8, 141 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 8 x 141 = 31584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31584
Therefore, the GCF of Fractions 9018/224,6272/3948 is 2/31584
Least Common Multiple of 224,3948 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 224,3948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,3948) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(224,3948) x common factors =28 x 1 = 28
LCM(224,3948) = ( 224 × 3948 ) / 28
LCM(224,3948) = 884352 / 28
LCM(224,3948) = 31584
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FAQs on GCF of Fractions of 9018/224, 6272/3948
1. What is the HCF of 9018,6272?
The HCF of 9018,6272 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 9018/224, 6272/3948?
Answer: GCF of Numerators as per given numbers 9018/224, 6272/3948 is
GCF of Numerators i.e. for 9018,6272 is 2
LCM of denominators i.e. for 224,3948 is 31584.
Thus, GCF of Fractions is 2/31584.Finally, GCF of Fractions for 9018/224, 6272/3948 is 2/31584.