GCF of 1546/841, 9700/2589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1546/841, 9700/2589 i.e 2/2177349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1546/841, 9700/2589.
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 1546/841,9700/2589?
Given fractions are 1546/841,9700/2589
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 1546/841,9700/2589, numerators are 1546,9700
Denominators are 841,2589
The GCF of 1546,9700 is 2 .
LCM of 841,2589 is 2177349.
The greatest common factor of 1546/841,9700/2589 = [GCF of 1546,9700]/[LCM of 841,2589]= 2/2177349
Therefore, the GCF of 1546/841,9700/2589 is 2/2177349.
To find the highest common factor of 1546,9700, we have to find the factors of both numbers and list the highest common factor.
The factors of 1546 are 1, 2, 773, 1546
The factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700
The HCF of 1546,9700 is 2.
Lets's calculate GCF of 1546,9700
| 2 | 1546, 9700 |
| 773, 4850 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1546,9700 By Matching Biggest Common Factor Method
Now, list down the factors of 1546
:1,2,773,1546
Now, list down the factors of 9700
:1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 1546,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 1546,9700 is 2.
Lets's calculate LCM of 841,2589
Given numbers has no common factors except 1. So, there LCM is their product i.e 2177349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2177349
Therefore, the GCF of Fractions 1546/841,9700/2589 is 2/2177349
Least Common Multiple of 841,2589 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 841,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,2589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,2589) x common factors =1 x 1 = 1
LCM(841,2589) = ( 841 × 2589 ) / 1
LCM(841,2589) = 2177349 / 1
LCM(841,2589) = 2177349
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FAQs on GCF of Fractions of 1546/841, 9700/2589
1. What is the HCF of 1546,9700?
The HCF of 1546,9700 is 2
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 1546/841, 9700/2589?
Answer: GCF of Numerators as per given numbers 1546/841, 9700/2589 is
GCF of Numerators i.e. for 1546,9700 is 2
LCM of denominators i.e. for 841,2589 is 2177349.
Thus, GCF of Fractions is 2/2177349.Finally, GCF of Fractions for 1546/841, 9700/2589 is 2/2177349.