GCF of 4571/564, 6553/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4571/564, 6553/960 i.e 1/45120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4571/564, 6553/960.
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 4571/564,6553/960?
Given fractions are 4571/564,6553/960
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 4571/564,6553/960, numerators are 4571,6553
Denominators are 564,960
The GCF of 4571,6553 is 1 .
LCM of 564,960 is 45120.
The greatest common factor of 4571/564,6553/960 = [GCF of 4571,6553]/[LCM of 564,960]= 1/45120
Therefore, the GCF of 4571/564,6553/960 is 1/45120.
To find the highest common factor of 4571,6553, we have to find the factors of both numbers and list the highest common factor.
The factors of 4571 are 1, 7, 653, 4571
The factors of 6553 are 1, 6553
The HCF of 4571,6553 is 1.
Lets's calculate GCF of 4571,6553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4571,6553 By Matching Biggest Common Factor Method
Now, list down the factors of 4571
:1,7,653,4571
Now, list down the factors of 6553
:1,6553
Greatest Common Factor
We found the factors 4571,6553 . The biggest common factor number is the GCF number.
So the greatest common factor 4571,6553 is 1.
Lets's calculate LCM of 564,960
| 2 | 564, 960 |
| 2 | 282, 480 |
| 3 | 141, 240 |
| 47, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 80 = 45120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45120
Therefore, the GCF of Fractions 4571/564,6553/960 is 1/45120
Least Common Multiple of 564,960 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 564,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,960) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(564,960) x common factors =12 x 1 = 12
LCM(564,960) = ( 564 × 960 ) / 12
LCM(564,960) = 541440 / 12
LCM(564,960) = 45120
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FAQs on GCF of Fractions of 4571/564, 6553/960
1. What is the HCF of 4571,6553?
The HCF of 4571,6553 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 4571/564, 6553/960?
Answer: GCF of Numerators as per given numbers 4571/564, 6553/960 is
GCF of Numerators i.e. for 4571,6553 is 1
LCM of denominators i.e. for 564,960 is 45120.
Thus, GCF of Fractions is 1/45120.Finally, GCF of Fractions for 4571/564, 6553/960 is 1/45120.