GCF of 2968/221, 1765/8784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2968/221, 1765/8784 i.e 1/1941264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2968/221, 1765/8784.
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 2968/221,1765/8784?
Given fractions are 2968/221,1765/8784
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 2968/221,1765/8784, numerators are 2968,1765
Denominators are 221,8784
The GCF of 2968,1765 is 1 .
LCM of 221,8784 is 1941264.
The greatest common factor of 2968/221,1765/8784 = [GCF of 2968,1765]/[LCM of 221,8784]= 1/1941264
Therefore, the GCF of 2968/221,1765/8784 is 1/1941264.
To find the highest common factor of 2968,1765, we have to find the factors of both numbers and list the highest common factor.
The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968
The factors of 1765 are 1, 5, 353, 1765
The HCF of 2968,1765 is 1.
Lets's calculate GCF of 2968,1765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2968,1765 By Matching Biggest Common Factor Method
Now, list down the factors of 2968
:1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Now, list down the factors of 1765
:1,5,353,1765
Greatest Common Factor
We found the factors 2968,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,1765 is 1.
Lets's calculate LCM of 221,8784
Given numbers has no common factors except 1. So, there LCM is their product i.e 1941264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1941264
Therefore, the GCF of Fractions 2968/221,1765/8784 is 1/1941264
Least Common Multiple of 221,8784 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 221,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,8784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,8784) x common factors =1 x 1 = 1
LCM(221,8784) = ( 221 × 8784 ) / 1
LCM(221,8784) = 1941264 / 1
LCM(221,8784) = 1941264
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FAQs on GCF of Fractions of 2968/221, 1765/8784
1. What is the HCF of 2968,1765?
The HCF of 2968,1765 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 2968/221, 1765/8784?
Answer: GCF of Numerators as per given numbers 2968/221, 1765/8784 is
GCF of Numerators i.e. for 2968,1765 is 1
LCM of denominators i.e. for 221,8784 is 1941264.
Thus, GCF of Fractions is 1/1941264.Finally, GCF of Fractions for 2968/221, 1765/8784 is 1/1941264.