GCF of 2819/705, 1664/8630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2819/705, 1664/8630 i.e 1/1216830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2819/705, 1664/8630.
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 2819/705,1664/8630?
Given fractions are 2819/705,1664/8630
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 2819/705,1664/8630, numerators are 2819,1664
Denominators are 705,8630
The GCF of 2819,1664 is 1 .
LCM of 705,8630 is 1216830.
The greatest common factor of 2819/705,1664/8630 = [GCF of 2819,1664]/[LCM of 705,8630]= 1/1216830
Therefore, the GCF of 2819/705,1664/8630 is 1/1216830.
To find the highest common factor of 2819,1664, we have to find the factors of both numbers and list the highest common factor.
The factors of 2819 are 1, 2819
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
The HCF of 2819,1664 is 1.
Lets's calculate GCF of 2819,1664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2819,1664 By Matching Biggest Common Factor Method
Now, list down the factors of 2819
:1,2819
Now, list down the factors of 1664
:1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Greatest Common Factor
We found the factors 2819,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 2819,1664 is 1.
Lets's calculate LCM of 705,8630
| 5 | 705, 8630 |
| 141, 1726 |
∴ So the LCM of the given numbers is 5 x 141 x 1726 = 1216830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1216830
Therefore, the GCF of Fractions 2819/705,1664/8630 is 1/1216830
Least Common Multiple of 705,8630 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 705,8630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,8630) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(705,8630) x common factors =5 x 1 = 5
LCM(705,8630) = ( 705 × 8630 ) / 5
LCM(705,8630) = 6084150 / 5
LCM(705,8630) = 1216830
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FAQs on GCF of Fractions of 2819/705, 1664/8630
1. What is the HCF of 2819,1664?
The HCF of 2819,1664 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 2819/705, 1664/8630?
Answer: GCF of Numerators as per given numbers 2819/705, 1664/8630 is
GCF of Numerators i.e. for 2819,1664 is 1
LCM of denominators i.e. for 705,8630 is 1216830.
Thus, GCF of Fractions is 1/1216830.Finally, GCF of Fractions for 2819/705, 1664/8630 is 1/1216830.