GCF of 5049/534, 5488/9214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5049/534, 5488/9214 i.e 1/2460138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5049/534, 5488/9214.
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 5049/534,5488/9214?
Given fractions are 5049/534,5488/9214
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 5049/534,5488/9214, numerators are 5049,5488
Denominators are 534,9214
The GCF of 5049,5488 is 1 .
LCM of 534,9214 is 2460138.
The greatest common factor of 5049/534,5488/9214 = [GCF of 5049,5488]/[LCM of 534,9214]= 1/2460138
Therefore, the GCF of 5049/534,5488/9214 is 1/2460138.
To find the highest common factor of 5049,5488, we have to find the factors of both numbers and list the highest common factor.
The factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
The factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488
The HCF of 5049,5488 is 1.
Lets's calculate GCF of 5049,5488
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5049,5488 By Matching Biggest Common Factor Method
Now, list down the factors of 5049
:1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Now, list down the factors of 5488
:1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488
Greatest Common Factor
We found the factors 5049,5488 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,5488 is 1.
Lets's calculate LCM of 534,9214
| 2 | 534, 9214 |
| 267, 4607 |
∴ So the LCM of the given numbers is 2 x 267 x 4607 = 2460138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2460138
Therefore, the GCF of Fractions 5049/534,5488/9214 is 1/2460138
Least Common Multiple of 534,9214 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 534,9214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,9214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,9214) x common factors =2 x 1 = 2
LCM(534,9214) = ( 534 × 9214 ) / 2
LCM(534,9214) = 4920276 / 2
LCM(534,9214) = 2460138
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FAQs on GCF of Fractions of 5049/534, 5488/9214
1. What is the HCF of 5049,5488?
The HCF of 5049,5488 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 5049/534, 5488/9214?
Answer: GCF of Numerators as per given numbers 5049/534, 5488/9214 is
GCF of Numerators i.e. for 5049,5488 is 1
LCM of denominators i.e. for 534,9214 is 2460138.
Thus, GCF of Fractions is 1/2460138.Finally, GCF of Fractions for 5049/534, 5488/9214 is 1/2460138.