GCF of 485/53, 509/66, 735/94
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 485/53, 509/66, 735/94 i.e 1/164406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/53, 509/66, 735/94.
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 485/53,509/66,735/94?
Given fractions are 485/53,509/66,735/94
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 485/53,509/66,735/94, numerators are 485,509,735
Denominators are 53,66,94
The GCF of 485,509,735 is 1 .
LCM of 53,66,94 is 164406.
The greatest common factor of 485/53,509/66,735/94 = [GCF of 485,509,735]/[LCM of 53,66,94]= 1/164406
Therefore, the GCF of 485/53,509/66,735/94 is 1/164406.
To find the highest common factor of 485,509,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 509 are 1, 509
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 485,509,735 is 1.
Lets's calculate GCF of 485,509,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 485,509,735 By Matching Biggest Common Factor Method
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 509
:1,509
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 485,509,735 . The biggest common factor number is the GCF number.
So the greatest common factor 485,509,735 is 1.
Lets's calculate LCM of 53,66,94
| 2 | 53, 66, 94 |
| 53, 33, 47 |
∴ So the LCM of the given numbers is 2 x 53 x 33 x 47 = 164406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164406
Therefore, the GCF of Fractions 485/53,509/66,735/94 is 1/164406
Least Common Multiple of 53,66,94 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 53,66,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,66,94) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,66,94) x common factors =1 x 2 = 2
LCM(53,66,94) = ( 53 × 66 × 94 ) / 2
LCM(53,66,94) = 328812 / 2
LCM(53,66,94) = 164406
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FAQs on GCF of Fractions of 485/53, 509/66, 735/94
1. What is the HCF of 485,509,735?
The HCF of 485,509,735 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 485/53, 509/66, 735/94?
Answer: GCF of Numerators as per given numbers 485/53, 509/66, 735/94 is
GCF of Numerators i.e. for 485,509,735 is 1
LCM of denominators i.e. for 53,66,94 is 164406.
Thus, GCF of Fractions is 1/164406.Finally, GCF of Fractions for 485/53, 509/66, 735/94 is 1/164406.