GCF of 3848/828, 4172/7269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3848/828, 4172/7269 i.e 4/2006244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3848/828, 4172/7269.
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 3848/828,4172/7269?
Given fractions are 3848/828,4172/7269
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 3848/828,4172/7269, numerators are 3848,4172
Denominators are 828,7269
The GCF of 3848,4172 is 4 .
LCM of 828,7269 is 2006244.
The greatest common factor of 3848/828,4172/7269 = [GCF of 3848,4172]/[LCM of 828,7269]= 4/2006244
Therefore, the GCF of 3848/828,4172/7269 is 4/2006244.
To find the highest common factor of 3848,4172, we have to find the factors of both numbers and list the highest common factor.
The factors of 3848 are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848
The factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172
The HCF of 3848,4172 is 4.
Lets's calculate GCF of 3848,4172
| 2 | 3848, 4172 |
| 2 | 1924, 2086 |
| 962, 1043 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3848,4172 By Matching Biggest Common Factor Method
Now, list down the factors of 3848
:1,2,4,8,13,26,37,52,74,104,148,296,481,962,1924,3848
Now, list down the factors of 4172
:1,2,4,7,14,28,149,298,596,1043,2086,4172
Greatest Common Factor
We found the factors 3848,4172 . The biggest common factor number is the GCF number.
So the greatest common factor 3848,4172 is 4.
Lets's calculate LCM of 828,7269
| 3 | 828, 7269 |
| 276, 2423 |
∴ So the LCM of the given numbers is 3 x 276 x 2423 = 2006244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2006244
Therefore, the GCF of Fractions 3848/828,4172/7269 is 4/2006244
Least Common Multiple of 828,7269 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 828,7269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,7269) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(828,7269) x common factors =3 x 1 = 3
LCM(828,7269) = ( 828 × 7269 ) / 3
LCM(828,7269) = 6018732 / 3
LCM(828,7269) = 2006244
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FAQs on GCF of Fractions of 3848/828, 4172/7269
1. What is the HCF of 3848,4172?
The HCF of 3848,4172 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 3848/828, 4172/7269?
Answer: GCF of Numerators as per given numbers 3848/828, 4172/7269 is
GCF of Numerators i.e. for 3848,4172 is 4
LCM of denominators i.e. for 828,7269 is 2006244.
Thus, GCF of Fractions is 4/2006244.Finally, GCF of Fractions for 3848/828, 4172/7269 is 4/2006244.