GCF of 2842/111, 9675/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2842/111, 9675/547 i.e 1/60717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2842/111, 9675/547.
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 2842/111,9675/547?
Given fractions are 2842/111,9675/547
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 2842/111,9675/547, numerators are 2842,9675
Denominators are 111,547
The GCF of 2842,9675 is 1 .
LCM of 111,547 is 60717.
The greatest common factor of 2842/111,9675/547 = [GCF of 2842,9675]/[LCM of 111,547]= 1/60717
Therefore, the GCF of 2842/111,9675/547 is 1/60717.
To find the highest common factor of 2842,9675, we have to find the factors of both numbers and list the highest common factor.
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
The HCF of 2842,9675 is 1.
Lets's calculate GCF of 2842,9675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2842,9675 By Matching Biggest Common Factor Method
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Now, list down the factors of 9675
:1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675
Greatest Common Factor
We found the factors 2842,9675 . The biggest common factor number is the GCF number.
So the greatest common factor 2842,9675 is 1.
Lets's calculate LCM of 111,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 60717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60717
Therefore, the GCF of Fractions 2842/111,9675/547 is 1/60717
Least Common Multiple of 111,547 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 111,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,547) x common factors =1 x 1 = 1
LCM(111,547) = ( 111 × 547 ) / 1
LCM(111,547) = 60717 / 1
LCM(111,547) = 60717
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FAQs on GCF of Fractions of 2842/111, 9675/547
1. What is the HCF of 2842,9675?
The HCF of 2842,9675 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 2842/111, 9675/547?
Answer: GCF of Numerators as per given numbers 2842/111, 9675/547 is
GCF of Numerators i.e. for 2842,9675 is 1
LCM of denominators i.e. for 111,547 is 60717.
Thus, GCF of Fractions is 1/60717.Finally, GCF of Fractions for 2842/111, 9675/547 is 1/60717.