GCF of 6469/698, 4959/1256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6469/698, 4959/1256 i.e 1/438344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6469/698, 4959/1256.
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 6469/698,4959/1256?
Given fractions are 6469/698,4959/1256
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 6469/698,4959/1256, numerators are 6469,4959
Denominators are 698,1256
The GCF of 6469,4959 is 1 .
LCM of 698,1256 is 438344.
The greatest common factor of 6469/698,4959/1256 = [GCF of 6469,4959]/[LCM of 698,1256]= 1/438344
Therefore, the GCF of 6469/698,4959/1256 is 1/438344.
To find the highest common factor of 6469,4959, we have to find the factors of both numbers and list the highest common factor.
The factors of 6469 are 1, 6469
The factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959
The HCF of 6469,4959 is 1.
Lets's calculate GCF of 6469,4959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6469,4959 By Matching Biggest Common Factor Method
Now, list down the factors of 6469
:1,6469
Now, list down the factors of 4959
:1,3,9,19,29,57,87,171,261,551,1653,4959
Greatest Common Factor
We found the factors 6469,4959 . The biggest common factor number is the GCF number.
So the greatest common factor 6469,4959 is 1.
Lets's calculate LCM of 698,1256
| 2 | 698, 1256 |
| 349, 628 |
∴ So the LCM of the given numbers is 2 x 349 x 628 = 438344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438344
Therefore, the GCF of Fractions 6469/698,4959/1256 is 1/438344
Least Common Multiple of 698,1256 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 698,1256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,1256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,1256) x common factors =2 x 1 = 2
LCM(698,1256) = ( 698 × 1256 ) / 2
LCM(698,1256) = 876688 / 2
LCM(698,1256) = 438344
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FAQs on GCF of Fractions of 6469/698, 4959/1256
1. What is the HCF of 6469,4959?
The HCF of 6469,4959 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 6469/698, 4959/1256?
Answer: GCF of Numerators as per given numbers 6469/698, 4959/1256 is
GCF of Numerators i.e. for 6469,4959 is 1
LCM of denominators i.e. for 698,1256 is 438344.
Thus, GCF of Fractions is 1/438344.Finally, GCF of Fractions for 6469/698, 4959/1256 is 1/438344.