GCF of 3807/52, 1269/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3807/52, 1269/300 i.e 1269/3900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3807/52, 1269/300.
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 3807/52,1269/300?
Given fractions are 3807/52,1269/300
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 3807/52,1269/300, numerators are 3807,1269
Denominators are 52,300
The GCF of 3807,1269 is 1269 .
LCM of 52,300 is 3900.
The greatest common factor of 3807/52,1269/300 = [GCF of 3807,1269]/[LCM of 52,300]= 1269/3900
Therefore, the GCF of 3807/52,1269/300 is 1269/3900.
To find the highest common factor of 3807,1269, we have to find the factors of both numbers and list the highest common factor.
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The factors of 1269 are 1, 3, 9, 27, 47, 141, 423, 1269
The HCF of 3807,1269 is 1269.
Lets's calculate GCF of 3807,1269
| 3 | 3807, 1269 |
| 3 | 1269, 423 |
| 3 | 141, 423 |
| 47 | 47, 141 |
| 1, 3 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 47 = 1269
Greatest Common Factor of 3807,1269 By Matching Biggest Common Factor Method
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Now, list down the factors of 1269
:1,3,9,27,47,141,423,1269
Greatest Common Factor
We found the factors 3807,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 3807,1269 is 1269.
Lets's calculate LCM of 52,300
| 2 | 52, 300 |
| 2 | 26, 150 |
| 13, 75 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 75 = 3900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1269/3900
Therefore, the GCF of Fractions 3807/52,1269/300 is 1269/3900
Least Common Multiple of 52,300 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 52,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,300) x common factors =4 x 1 = 4
LCM(52,300) = ( 52 × 300 ) / 4
LCM(52,300) = 15600 / 4
LCM(52,300) = 3900
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FAQs on GCF of Fractions of 3807/52, 1269/300
1. What is the HCF of 3807,1269?
The HCF of 3807,1269 is 1269
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 3807/52, 1269/300?
Answer: GCF of Numerators as per given numbers 3807/52, 1269/300 is
GCF of Numerators i.e. for 3807,1269 is 1269
LCM of denominators i.e. for 52,300 is 3900.
Thus, GCF of Fractions is 1269/3900.Finally, GCF of Fractions for 3807/52, 1269/300 is 1269/3900.