GCF of 7245/573, 6716/3072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7245/573, 6716/3072 i.e 23/586752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7245/573, 6716/3072.
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 7245/573,6716/3072?
Given fractions are 7245/573,6716/3072
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 7245/573,6716/3072, numerators are 7245,6716
Denominators are 573,3072
The GCF of 7245,6716 is 23 .
LCM of 573,3072 is 586752.
The greatest common factor of 7245/573,6716/3072 = [GCF of 7245,6716]/[LCM of 573,3072]= 23/586752
Therefore, the GCF of 7245/573,6716/3072 is 23/586752.
To find the highest common factor of 7245,6716, we have to find the factors of both numbers and list the highest common factor.
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716
The HCF of 7245,6716 is 23.
Lets's calculate GCF of 7245,6716
| 23 | 7245, 6716 |
| 315, 292 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 7245,6716 By Matching Biggest Common Factor Method
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Now, list down the factors of 6716
:1,2,4,23,46,73,92,146,292,1679,3358,6716
Greatest Common Factor
We found the factors 7245,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 7245,6716 is 23.
Lets's calculate LCM of 573,3072
| 3 | 573, 3072 |
| 191, 1024 |
∴ So the LCM of the given numbers is 3 x 191 x 1024 = 586752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/586752
Therefore, the GCF of Fractions 7245/573,6716/3072 is 23/586752
Least Common Multiple of 573,3072 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 573,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,3072) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,3072) x common factors =3 x 1 = 3
LCM(573,3072) = ( 573 × 3072 ) / 3
LCM(573,3072) = 1760256 / 3
LCM(573,3072) = 586752
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FAQs on GCF of Fractions of 7245/573, 6716/3072
1. What is the HCF of 7245,6716?
The HCF of 7245,6716 is 23
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 7245/573, 6716/3072?
Answer: GCF of Numerators as per given numbers 7245/573, 6716/3072 is
GCF of Numerators i.e. for 7245,6716 is 23
LCM of denominators i.e. for 573,3072 is 586752.
Thus, GCF of Fractions is 23/586752.Finally, GCF of Fractions for 7245/573, 6716/3072 is 23/586752.