GCF of 1820/706, 3205/5641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1820/706, 3205/5641 i.e 5/3982546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1820/706, 3205/5641.
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 1820/706,3205/5641?
Given fractions are 1820/706,3205/5641
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 1820/706,3205/5641, numerators are 1820,3205
Denominators are 706,5641
The GCF of 1820,3205 is 5 .
LCM of 706,5641 is 3982546.
The greatest common factor of 1820/706,3205/5641 = [GCF of 1820,3205]/[LCM of 706,5641]= 5/3982546
Therefore, the GCF of 1820/706,3205/5641 is 5/3982546.
To find the highest common factor of 1820,3205, we have to find the factors of both numbers and list the highest common factor.
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The factors of 3205 are 1, 5, 641, 3205
The HCF of 1820,3205 is 5.
Lets's calculate GCF of 1820,3205
| 5 | 1820, 3205 |
| 364, 641 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1820,3205 By Matching Biggest Common Factor Method
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Now, list down the factors of 3205
:1,5,641,3205
Greatest Common Factor
We found the factors 1820,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 1820,3205 is 5.
Lets's calculate LCM of 706,5641
Given numbers has no common factors except 1. So, there LCM is their product i.e 3982546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3982546
Therefore, the GCF of Fractions 1820/706,3205/5641 is 5/3982546
Least Common Multiple of 706,5641 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 706,5641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,5641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,5641) x common factors =1 x 1 = 1
LCM(706,5641) = ( 706 × 5641 ) / 1
LCM(706,5641) = 3982546 / 1
LCM(706,5641) = 3982546
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FAQs on GCF of Fractions of 1820/706, 3205/5641
1. What is the HCF of 1820,3205?
The HCF of 1820,3205 is 5
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 1820/706, 3205/5641?
Answer: GCF of Numerators as per given numbers 1820/706, 3205/5641 is
GCF of Numerators i.e. for 1820,3205 is 5
LCM of denominators i.e. for 706,5641 is 3982546.
Thus, GCF of Fractions is 5/3982546.Finally, GCF of Fractions for 1820/706, 3205/5641 is 5/3982546.