GCF of 4148/765, 7360/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4148/765, 7360/829 i.e 4/634185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4148/765, 7360/829.
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 4148/765,7360/829?
Given fractions are 4148/765,7360/829
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 4148/765,7360/829, numerators are 4148,7360
Denominators are 765,829
The GCF of 4148,7360 is 4 .
LCM of 765,829 is 634185.
The greatest common factor of 4148/765,7360/829 = [GCF of 4148,7360]/[LCM of 765,829]= 4/634185
Therefore, the GCF of 4148/765,7360/829 is 4/634185.
To find the highest common factor of 4148,7360, we have to find the factors of both numbers and list the highest common factor.
The factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148
The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
The HCF of 4148,7360 is 4.
Lets's calculate GCF of 4148,7360
| 2 | 4148, 7360 |
| 2 | 2074, 3680 |
| 1037, 1840 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4148,7360 By Matching Biggest Common Factor Method
Now, list down the factors of 4148
:1,2,4,17,34,61,68,122,244,1037,2074,4148
Now, list down the factors of 7360
:1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Greatest Common Factor
We found the factors 4148,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 4148,7360 is 4.
Lets's calculate LCM of 765,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 634185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/634185
Therefore, the GCF of Fractions 4148/765,7360/829 is 4/634185
Least Common Multiple of 765,829 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 765,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,829) x common factors =1 x 1 = 1
LCM(765,829) = ( 765 × 829 ) / 1
LCM(765,829) = 634185 / 1
LCM(765,829) = 634185
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FAQs on GCF of Fractions of 4148/765, 7360/829
1. What is the HCF of 4148,7360?
The HCF of 4148,7360 is 4
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 4148/765, 7360/829?
Answer: GCF of Numerators as per given numbers 4148/765, 7360/829 is
GCF of Numerators i.e. for 4148,7360 is 4
LCM of denominators i.e. for 765,829 is 634185.
Thus, GCF of Fractions is 4/634185.Finally, GCF of Fractions for 4148/765, 7360/829 is 4/634185.