GCF of 7023/828, 3852/6915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7023/828, 3852/6915 i.e 3/1908540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7023/828, 3852/6915.
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 7023/828,3852/6915?
Given fractions are 7023/828,3852/6915
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 7023/828,3852/6915, numerators are 7023,3852
Denominators are 828,6915
The GCF of 7023,3852 is 3 .
LCM of 828,6915 is 1908540.
The greatest common factor of 7023/828,3852/6915 = [GCF of 7023,3852]/[LCM of 828,6915]= 3/1908540
Therefore, the GCF of 7023/828,3852/6915 is 3/1908540.
To find the highest common factor of 7023,3852, we have to find the factors of both numbers and list the highest common factor.
The factors of 7023 are 1, 3, 2341, 7023
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The HCF of 7023,3852 is 3.
Lets's calculate GCF of 7023,3852
| 3 | 7023, 3852 |
| 2341, 1284 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7023,3852 By Matching Biggest Common Factor Method
Now, list down the factors of 7023
:1,3,2341,7023
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 7023,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 7023,3852 is 3.
Lets's calculate LCM of 828,6915
| 3 | 828, 6915 |
| 276, 2305 |
∴ So the LCM of the given numbers is 3 x 276 x 2305 = 1908540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1908540
Therefore, the GCF of Fractions 7023/828,3852/6915 is 3/1908540
Least Common Multiple of 828,6915 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 828,6915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,6915) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(828,6915) x common factors =3 x 1 = 3
LCM(828,6915) = ( 828 × 6915 ) / 3
LCM(828,6915) = 5725620 / 3
LCM(828,6915) = 1908540
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FAQs on GCF of Fractions of 7023/828, 3852/6915
1. What is the HCF of 7023,3852?
The HCF of 7023,3852 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 7023/828, 3852/6915?
Answer: GCF of Numerators as per given numbers 7023/828, 3852/6915 is
GCF of Numerators i.e. for 7023,3852 is 3
LCM of denominators i.e. for 828,6915 is 1908540.
Thus, GCF of Fractions is 3/1908540.Finally, GCF of Fractions for 7023/828, 3852/6915 is 3/1908540.