GCF of 2141/511, 9690/2420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2141/511, 9690/2420 i.e 1/1236620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2141/511, 9690/2420.
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 2141/511,9690/2420?
Given fractions are 2141/511,9690/2420
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 2141/511,9690/2420, numerators are 2141,9690
Denominators are 511,2420
The GCF of 2141,9690 is 1 .
LCM of 511,2420 is 1236620.
The greatest common factor of 2141/511,9690/2420 = [GCF of 2141,9690]/[LCM of 511,2420]= 1/1236620
Therefore, the GCF of 2141/511,9690/2420 is 1/1236620.
To find the highest common factor of 2141,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 2141 are 1, 2141
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The HCF of 2141,9690 is 1.
Lets's calculate GCF of 2141,9690
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2141,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 2141
:1,2141
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 2141,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 2141,9690 is 1.
Lets's calculate LCM of 511,2420
Given numbers has no common factors except 1. So, there LCM is their product i.e 1236620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1236620
Therefore, the GCF of Fractions 2141/511,9690/2420 is 1/1236620
Least Common Multiple of 511,2420 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 511,2420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,2420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,2420) x common factors =1 x 1 = 1
LCM(511,2420) = ( 511 × 2420 ) / 1
LCM(511,2420) = 1236620 / 1
LCM(511,2420) = 1236620
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FAQs on GCF of Fractions of 2141/511, 9690/2420
1. What is the HCF of 2141,9690?
The HCF of 2141,9690 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 2141/511, 9690/2420?
Answer: GCF of Numerators as per given numbers 2141/511, 9690/2420 is
GCF of Numerators i.e. for 2141,9690 is 1
LCM of denominators i.e. for 511,2420 is 1236620.
Thus, GCF of Fractions is 1/1236620.Finally, GCF of Fractions for 2141/511, 9690/2420 is 1/1236620.