GCF of 1245/728, 3807/2802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1245/728, 3807/2802 i.e 3/1019928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1245/728, 3807/2802.
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 1245/728,3807/2802?
Given fractions are 1245/728,3807/2802
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 1245/728,3807/2802, numerators are 1245,3807
Denominators are 728,2802
The GCF of 1245,3807 is 3 .
LCM of 728,2802 is 1019928.
The greatest common factor of 1245/728,3807/2802 = [GCF of 1245,3807]/[LCM of 728,2802]= 3/1019928
Therefore, the GCF of 1245/728,3807/2802 is 3/1019928.
To find the highest common factor of 1245,3807, we have to find the factors of both numbers and list the highest common factor.
The factors of 1245 are 1, 3, 5, 15, 83, 249, 415, 1245
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The HCF of 1245,3807 is 3.
Lets's calculate GCF of 1245,3807
| 3 | 1245, 3807 |
| 415, 1269 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1245,3807 By Matching Biggest Common Factor Method
Now, list down the factors of 1245
:1,3,5,15,83,249,415,1245
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors 1245,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 1245,3807 is 3.
Lets's calculate LCM of 728,2802
| 2 | 728, 2802 |
| 364, 1401 |
∴ So the LCM of the given numbers is 2 x 364 x 1401 = 1019928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1019928
Therefore, the GCF of Fractions 1245/728,3807/2802 is 3/1019928
Least Common Multiple of 728,2802 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 728,2802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,2802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,2802) x common factors =2 x 1 = 2
LCM(728,2802) = ( 728 × 2802 ) / 2
LCM(728,2802) = 2039856 / 2
LCM(728,2802) = 1019928
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FAQs on GCF of Fractions of 1245/728, 3807/2802
1. What is the HCF of 1245,3807?
The HCF of 1245,3807 is 3
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 1245/728, 3807/2802?
Answer: GCF of Numerators as per given numbers 1245/728, 3807/2802 is
GCF of Numerators i.e. for 1245,3807 is 3
LCM of denominators i.e. for 728,2802 is 1019928.
Thus, GCF of Fractions is 3/1019928.Finally, GCF of Fractions for 1245/728, 3807/2802 is 3/1019928.