GCF of 7705/841, 4320/1184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7705/841, 4320/1184 i.e 5/995744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7705/841, 4320/1184.
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 7705/841,4320/1184?
Given fractions are 7705/841,4320/1184
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 7705/841,4320/1184, numerators are 7705,4320
Denominators are 841,1184
The GCF of 7705,4320 is 5 .
LCM of 841,1184 is 995744.
The greatest common factor of 7705/841,4320/1184 = [GCF of 7705,4320]/[LCM of 841,1184]= 5/995744
Therefore, the GCF of 7705/841,4320/1184 is 5/995744.
To find the highest common factor of 7705,4320, we have to find the factors of both numbers and list the highest common factor.
The factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320
The HCF of 7705,4320 is 5.
Lets's calculate GCF of 7705,4320
| 5 | 7705, 4320 |
| 1541, 864 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7705,4320 By Matching Biggest Common Factor Method
Now, list down the factors of 7705
:1,5,23,67,115,335,1541,7705
Now, list down the factors of 4320
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Greatest Common Factor
We found the factors 7705,4320 . The biggest common factor number is the GCF number.
So the greatest common factor 7705,4320 is 5.
Lets's calculate LCM of 841,1184
Given numbers has no common factors except 1. So, there LCM is their product i.e 995744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/995744
Therefore, the GCF of Fractions 7705/841,4320/1184 is 5/995744
Least Common Multiple of 841,1184 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 841,1184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,1184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,1184) x common factors =1 x 1 = 1
LCM(841,1184) = ( 841 × 1184 ) / 1
LCM(841,1184) = 995744 / 1
LCM(841,1184) = 995744
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FAQs on GCF of Fractions of 7705/841, 4320/1184
1. What is the HCF of 7705,4320?
The HCF of 7705,4320 is 5
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 7705/841, 4320/1184?
Answer: GCF of Numerators as per given numbers 7705/841, 4320/1184 is
GCF of Numerators i.e. for 7705,4320 is 5
LCM of denominators i.e. for 841,1184 is 995744.
Thus, GCF of Fractions is 5/995744.Finally, GCF of Fractions for 7705/841, 4320/1184 is 5/995744.