GCF of 949/348, 689/828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/348, 689/828 i.e 13/24012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/348, 689/828.
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 949/348,689/828?
Given fractions are 949/348,689/828
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 949/348,689/828, numerators are 949,689
Denominators are 348,828
The GCF of 949,689 is 13 .
LCM of 348,828 is 24012.
The greatest common factor of 949/348,689/828 = [GCF of 949,689]/[LCM of 348,828]= 13/24012
Therefore, the GCF of 949/348,689/828 is 13/24012.
To find the highest common factor of 949,689, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 689 are 1, 13, 53, 689
The HCF of 949,689 is 13.
Lets's calculate GCF of 949,689
| 13 | 949, 689 |
| 73, 53 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 949,689 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 689
:1,13,53,689
Greatest Common Factor
We found the factors 949,689 . The biggest common factor number is the GCF number.
So the greatest common factor 949,689 is 13.
Lets's calculate LCM of 348,828
| 2 | 348, 828 |
| 2 | 174, 414 |
| 3 | 87, 207 |
| 29, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 69 = 24012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/24012
Therefore, the GCF of Fractions 949/348,689/828 is 13/24012
Least Common Multiple of 348,828 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 348,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,828) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(348,828) x common factors =12 x 1 = 12
LCM(348,828) = ( 348 × 828 ) / 12
LCM(348,828) = 288144 / 12
LCM(348,828) = 24012
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FAQs on GCF of Fractions of 949/348, 689/828
1. What is the HCF of 949,689?
The HCF of 949,689 is 13
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 949/348, 689/828?
Answer: GCF of Numerators as per given numbers 949/348, 689/828 is
GCF of Numerators i.e. for 949,689 is 13
LCM of denominators i.e. for 348,828 is 24012.
Thus, GCF of Fractions is 13/24012.Finally, GCF of Fractions for 949/348, 689/828 is 13/24012.