GCF of 2176/605, 5445/9714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2176/605, 5445/9714 i.e 1/5876970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2176/605, 5445/9714.
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 2176/605,5445/9714?
Given fractions are 2176/605,5445/9714
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 2176/605,5445/9714, numerators are 2176,5445
Denominators are 605,9714
The GCF of 2176,5445 is 1 .
LCM of 605,9714 is 5876970.
The greatest common factor of 2176/605,5445/9714 = [GCF of 2176,5445]/[LCM of 605,9714]= 1/5876970
Therefore, the GCF of 2176/605,5445/9714 is 1/5876970.
To find the highest common factor of 2176,5445, we have to find the factors of both numbers and list the highest common factor.
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The HCF of 2176,5445 is 1.
Lets's calculate GCF of 2176,5445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2176,5445 By Matching Biggest Common Factor Method
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Greatest Common Factor
We found the factors 2176,5445 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,5445 is 1.
Lets's calculate LCM of 605,9714
Given numbers has no common factors except 1. So, there LCM is their product i.e 5876970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5876970
Therefore, the GCF of Fractions 2176/605,5445/9714 is 1/5876970
Least Common Multiple of 605,9714 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 605,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,9714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,9714) x common factors =1 x 1 = 1
LCM(605,9714) = ( 605 × 9714 ) / 1
LCM(605,9714) = 5876970 / 1
LCM(605,9714) = 5876970
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FAQs on GCF of Fractions of 2176/605, 5445/9714
1. What is the HCF of 2176,5445?
The HCF of 2176,5445 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 2176/605, 5445/9714?
Answer: GCF of Numerators as per given numbers 2176/605, 5445/9714 is
GCF of Numerators i.e. for 2176,5445 is 1
LCM of denominators i.e. for 605,9714 is 5876970.
Thus, GCF of Fractions is 1/5876970.Finally, GCF of Fractions for 2176/605, 5445/9714 is 1/5876970.