GCF of 1234/568, 2817/1830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1234/568, 2817/1830 i.e 1/519720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1234/568, 2817/1830.
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 1234/568,2817/1830?
Given fractions are 1234/568,2817/1830
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 1234/568,2817/1830, numerators are 1234,2817
Denominators are 568,1830
The GCF of 1234,2817 is 1 .
LCM of 568,1830 is 519720.
The greatest common factor of 1234/568,2817/1830 = [GCF of 1234,2817]/[LCM of 568,1830]= 1/519720
Therefore, the GCF of 1234/568,2817/1830 is 1/519720.
To find the highest common factor of 1234,2817, we have to find the factors of both numbers and list the highest common factor.
The factors of 1234 are 1, 2, 617, 1234
The factors of 2817 are 1, 3, 9, 313, 939, 2817
The HCF of 1234,2817 is 1.
Lets's calculate GCF of 1234,2817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1234,2817 By Matching Biggest Common Factor Method
Now, list down the factors of 1234
:1,2,617,1234
Now, list down the factors of 2817
:1,3,9,313,939,2817
Greatest Common Factor
We found the factors 1234,2817 . The biggest common factor number is the GCF number.
So the greatest common factor 1234,2817 is 1.
Lets's calculate LCM of 568,1830
| 2 | 568, 1830 |
| 284, 915 |
∴ So the LCM of the given numbers is 2 x 284 x 915 = 519720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519720
Therefore, the GCF of Fractions 1234/568,2817/1830 is 1/519720
Least Common Multiple of 568,1830 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 568,1830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,1830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(568,1830) x common factors =2 x 1 = 2
LCM(568,1830) = ( 568 × 1830 ) / 2
LCM(568,1830) = 1039440 / 2
LCM(568,1830) = 519720
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FAQs on GCF of Fractions of 1234/568, 2817/1830
1. What is the HCF of 1234,2817?
The HCF of 1234,2817 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 1234/568, 2817/1830?
Answer: GCF of Numerators as per given numbers 1234/568, 2817/1830 is
GCF of Numerators i.e. for 1234,2817 is 1
LCM of denominators i.e. for 568,1830 is 519720.
Thus, GCF of Fractions is 1/519720.Finally, GCF of Fractions for 1234/568, 2817/1830 is 1/519720.