GCF of 352/66, 657/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 352/66, 657/489 i.e 1/10758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/66, 657/489.
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 352/66,657/489?
Given fractions are 352/66,657/489
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 352/66,657/489, numerators are 352,657
Denominators are 66,489
The GCF of 352,657 is 1 .
LCM of 66,489 is 10758.
The greatest common factor of 352/66,657/489 = [GCF of 352,657]/[LCM of 66,489]= 1/10758
Therefore, the GCF of 352/66,657/489 is 1/10758.
To find the highest common factor of 352,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 352,657 is 1.
Lets's calculate GCF of 352,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 352,657 By Matching Biggest Common Factor Method
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 352,657 . The biggest common factor number is the GCF number.
So the greatest common factor 352,657 is 1.
Lets's calculate LCM of 66,489
| 3 | 66, 489 |
| 22, 163 |
∴ So the LCM of the given numbers is 3 x 22 x 163 = 10758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10758
Therefore, the GCF of Fractions 352/66,657/489 is 1/10758
Least Common Multiple of 66,489 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 66,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(66,489) x common factors =3 x 1 = 3
LCM(66,489) = ( 66 × 489 ) / 3
LCM(66,489) = 32274 / 3
LCM(66,489) = 10758
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FAQs on GCF of Fractions of 352/66, 657/489
1. What is the HCF of 352,657?
The HCF of 352,657 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 352/66, 657/489?
Answer: GCF of Numerators as per given numbers 352/66, 657/489 is
GCF of Numerators i.e. for 352,657 is 1
LCM of denominators i.e. for 66,489 is 10758.
Thus, GCF of Fractions is 1/10758.Finally, GCF of Fractions for 352/66, 657/489 is 1/10758.