GCF of 7800/915, 3829/4221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7800/915, 3829/4221 i.e 1/1287405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7800/915, 3829/4221.
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 7800/915,3829/4221?
Given fractions are 7800/915,3829/4221
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 7800/915,3829/4221, numerators are 7800,3829
Denominators are 915,4221
The GCF of 7800,3829 is 1 .
LCM of 915,4221 is 1287405.
The greatest common factor of 7800/915,3829/4221 = [GCF of 7800,3829]/[LCM of 915,4221]= 1/1287405
Therefore, the GCF of 7800/915,3829/4221 is 1/1287405.
To find the highest common factor of 7800,3829, we have to find the factors of both numbers and list the highest common factor.
The factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The factors of 3829 are 1, 7, 547, 3829
The HCF of 7800,3829 is 1.
Lets's calculate GCF of 7800,3829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7800,3829 By Matching Biggest Common Factor Method
Now, list down the factors of 7800
:1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Now, list down the factors of 3829
:1,7,547,3829
Greatest Common Factor
We found the factors 7800,3829 . The biggest common factor number is the GCF number.
So the greatest common factor 7800,3829 is 1.
Lets's calculate LCM of 915,4221
| 3 | 915, 4221 |
| 305, 1407 |
∴ So the LCM of the given numbers is 3 x 305 x 1407 = 1287405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1287405
Therefore, the GCF of Fractions 7800/915,3829/4221 is 1/1287405
Least Common Multiple of 915,4221 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 915,4221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,4221) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(915,4221) x common factors =3 x 1 = 3
LCM(915,4221) = ( 915 × 4221 ) / 3
LCM(915,4221) = 3862215 / 3
LCM(915,4221) = 1287405
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FAQs on GCF of Fractions of 7800/915, 3829/4221
1. What is the HCF of 7800,3829?
The HCF of 7800,3829 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 7800/915, 3829/4221?
Answer: GCF of Numerators as per given numbers 7800/915, 3829/4221 is
GCF of Numerators i.e. for 7800,3829 is 1
LCM of denominators i.e. for 915,4221 is 1287405.
Thus, GCF of Fractions is 1/1287405.Finally, GCF of Fractions for 7800/915, 3829/4221 is 1/1287405.