GCF of 7728/874, 4915/8209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7728/874, 4915/8209 i.e 1/7174666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7728/874, 4915/8209.
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 7728/874,4915/8209?
Given fractions are 7728/874,4915/8209
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 7728/874,4915/8209, numerators are 7728,4915
Denominators are 874,8209
The GCF of 7728,4915 is 1 .
LCM of 874,8209 is 7174666.
The greatest common factor of 7728/874,4915/8209 = [GCF of 7728,4915]/[LCM of 874,8209]= 1/7174666
Therefore, the GCF of 7728/874,4915/8209 is 1/7174666.
To find the highest common factor of 7728,4915, we have to find the factors of both numbers and list the highest common factor.
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The factors of 4915 are 1, 5, 983, 4915
The HCF of 7728,4915 is 1.
Lets's calculate GCF of 7728,4915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7728,4915 By Matching Biggest Common Factor Method
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Now, list down the factors of 4915
:1,5,983,4915
Greatest Common Factor
We found the factors 7728,4915 . The biggest common factor number is the GCF number.
So the greatest common factor 7728,4915 is 1.
Lets's calculate LCM of 874,8209
Given numbers has no common factors except 1. So, there LCM is their product i.e 7174666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7174666
Therefore, the GCF of Fractions 7728/874,4915/8209 is 1/7174666
Least Common Multiple of 874,8209 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 874,8209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,8209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,8209) x common factors =1 x 1 = 1
LCM(874,8209) = ( 874 × 8209 ) / 1
LCM(874,8209) = 7174666 / 1
LCM(874,8209) = 7174666
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FAQs on GCF of Fractions of 7728/874, 4915/8209
1. What is the HCF of 7728,4915?
The HCF of 7728,4915 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 7728/874, 4915/8209?
Answer: GCF of Numerators as per given numbers 7728/874, 4915/8209 is
GCF of Numerators i.e. for 7728,4915 is 1
LCM of denominators i.e. for 874,8209 is 7174666.
Thus, GCF of Fractions is 1/7174666.Finally, GCF of Fractions for 7728/874, 4915/8209 is 1/7174666.