GCF of 1535/825, 3882/7104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1535/825, 3882/7104 i.e 1/1953600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1535/825, 3882/7104.
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 1535/825,3882/7104?
Given fractions are 1535/825,3882/7104
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 1535/825,3882/7104, numerators are 1535,3882
Denominators are 825,7104
The GCF of 1535,3882 is 1 .
LCM of 825,7104 is 1953600.
The greatest common factor of 1535/825,3882/7104 = [GCF of 1535,3882]/[LCM of 825,7104]= 1/1953600
Therefore, the GCF of 1535/825,3882/7104 is 1/1953600.
To find the highest common factor of 1535,3882, we have to find the factors of both numbers and list the highest common factor.
The factors of 1535 are 1, 5, 307, 1535
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The HCF of 1535,3882 is 1.
Lets's calculate GCF of 1535,3882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1535,3882 By Matching Biggest Common Factor Method
Now, list down the factors of 1535
:1,5,307,1535
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Greatest Common Factor
We found the factors 1535,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 1535,3882 is 1.
Lets's calculate LCM of 825,7104
| 3 | 825, 7104 |
| 275, 2368 |
∴ So the LCM of the given numbers is 3 x 275 x 2368 = 1953600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1953600
Therefore, the GCF of Fractions 1535/825,3882/7104 is 1/1953600
Least Common Multiple of 825,7104 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 825,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,7104) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(825,7104) x common factors =3 x 1 = 3
LCM(825,7104) = ( 825 × 7104 ) / 3
LCM(825,7104) = 5860800 / 3
LCM(825,7104) = 1953600
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FAQs on GCF of Fractions of 1535/825, 3882/7104
1. What is the HCF of 1535,3882?
The HCF of 1535,3882 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 1535/825, 3882/7104?
Answer: GCF of Numerators as per given numbers 1535/825, 3882/7104 is
GCF of Numerators i.e. for 1535,3882 is 1
LCM of denominators i.e. for 825,7104 is 1953600.
Thus, GCF of Fractions is 1/1953600.Finally, GCF of Fractions for 1535/825, 3882/7104 is 1/1953600.