GCF of 1278/224, 9018/1489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1278/224, 9018/1489 i.e 18/333536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1278/224, 9018/1489.
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 1278/224,9018/1489?
Given fractions are 1278/224,9018/1489
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 1278/224,9018/1489, numerators are 1278,9018
Denominators are 224,1489
The GCF of 1278,9018 is 18 .
LCM of 224,1489 is 333536.
The greatest common factor of 1278/224,9018/1489 = [GCF of 1278,9018]/[LCM of 224,1489]= 18/333536
Therefore, the GCF of 1278/224,9018/1489 is 18/333536.
To find the highest common factor of 1278,9018, we have to find the factors of both numbers and list the highest common factor.
The factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278
The factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
The HCF of 1278,9018 is 18.
Lets's calculate GCF of 1278,9018
| 2 | 1278, 9018 |
| 3 | 639, 4509 |
| 3 | 213, 1503 |
| 71, 501 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1278,9018 By Matching Biggest Common Factor Method
Now, list down the factors of 1278
:1,2,3,6,9,18,71,142,213,426,639,1278
Now, list down the factors of 9018
:1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Greatest Common Factor
We found the factors 1278,9018 . The biggest common factor number is the GCF number.
So the greatest common factor 1278,9018 is 18.
Lets's calculate LCM of 224,1489
Given numbers has no common factors except 1. So, there LCM is their product i.e 333536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/333536
Therefore, the GCF of Fractions 1278/224,9018/1489 is 18/333536
Least Common Multiple of 224,1489 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 224,1489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,1489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,1489) x common factors =1 x 1 = 1
LCM(224,1489) = ( 224 × 1489 ) / 1
LCM(224,1489) = 333536 / 1
LCM(224,1489) = 333536
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FAQs on GCF of Fractions of 1278/224, 9018/1489
1. What is the HCF of 1278,9018?
The HCF of 1278,9018 is 18
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 1278/224, 9018/1489?
Answer: GCF of Numerators as per given numbers 1278/224, 9018/1489 is
GCF of Numerators i.e. for 1278,9018 is 18
LCM of denominators i.e. for 224,1489 is 333536.
Thus, GCF of Fractions is 18/333536.Finally, GCF of Fractions for 1278/224, 9018/1489 is 18/333536.