GCF of 4735/578, 4472/9000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4735/578, 4472/9000 i.e 1/2601000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4735/578, 4472/9000.
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 4735/578,4472/9000?
Given fractions are 4735/578,4472/9000
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 4735/578,4472/9000, numerators are 4735,4472
Denominators are 578,9000
The GCF of 4735,4472 is 1 .
LCM of 578,9000 is 2601000.
The greatest common factor of 4735/578,4472/9000 = [GCF of 4735,4472]/[LCM of 578,9000]= 1/2601000
Therefore, the GCF of 4735/578,4472/9000 is 1/2601000.
To find the highest common factor of 4735,4472, we have to find the factors of both numbers and list the highest common factor.
The factors of 4735 are 1, 5, 947, 4735
The factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472
The HCF of 4735,4472 is 1.
Lets's calculate GCF of 4735,4472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4735,4472 By Matching Biggest Common Factor Method
Now, list down the factors of 4735
:1,5,947,4735
Now, list down the factors of 4472
:1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
Greatest Common Factor
We found the factors 4735,4472 . The biggest common factor number is the GCF number.
So the greatest common factor 4735,4472 is 1.
Lets's calculate LCM of 578,9000
| 2 | 578, 9000 |
| 289, 4500 |
∴ So the LCM of the given numbers is 2 x 289 x 4500 = 2601000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2601000
Therefore, the GCF of Fractions 4735/578,4472/9000 is 1/2601000
Least Common Multiple of 578,9000 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 578,9000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,9000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,9000) x common factors =2 x 1 = 2
LCM(578,9000) = ( 578 × 9000 ) / 2
LCM(578,9000) = 5202000 / 2
LCM(578,9000) = 2601000
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FAQs on GCF of Fractions of 4735/578, 4472/9000
1. What is the HCF of 4735,4472?
The HCF of 4735,4472 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 4735/578, 4472/9000?
Answer: GCF of Numerators as per given numbers 4735/578, 4472/9000 is
GCF of Numerators i.e. for 4735,4472 is 1
LCM of denominators i.e. for 578,9000 is 2601000.
Thus, GCF of Fractions is 1/2601000.Finally, GCF of Fractions for 4735/578, 4472/9000 is 1/2601000.