GCF of 853/564, 466/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 853/564, 466/495 i.e 1/93060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/564, 466/495.
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 853/564,466/495?
Given fractions are 853/564,466/495
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 853/564,466/495, numerators are 853,466
Denominators are 564,495
The GCF of 853,466 is 1 .
LCM of 564,495 is 93060.
The greatest common factor of 853/564,466/495 = [GCF of 853,466]/[LCM of 564,495]= 1/93060
Therefore, the GCF of 853/564,466/495 is 1/93060.
To find the highest common factor of 853,466, we have to find the factors of both numbers and list the highest common factor.
The factors of 853 are 1, 853
The factors of 466 are 1, 2, 233, 466
The HCF of 853,466 is 1.
Lets's calculate GCF of 853,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 853,466 By Matching Biggest Common Factor Method
Now, list down the factors of 853
:1,853
Now, list down the factors of 466
:1,2,233,466
Greatest Common Factor
We found the factors 853,466 . The biggest common factor number is the GCF number.
So the greatest common factor 853,466 is 1.
Lets's calculate LCM of 564,495
| 3 | 564, 495 |
| 188, 165 |
∴ So the LCM of the given numbers is 3 x 188 x 165 = 93060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93060
Therefore, the GCF of Fractions 853/564,466/495 is 1/93060
Least Common Multiple of 564,495 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 564,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,495) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,495) x common factors =3 x 1 = 3
LCM(564,495) = ( 564 × 495 ) / 3
LCM(564,495) = 279180 / 3
LCM(564,495) = 93060
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FAQs on GCF of Fractions of 853/564, 466/495
1. What is the HCF of 853,466?
The HCF of 853,466 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 853/564, 466/495?
Answer: GCF of Numerators as per given numbers 853/564, 466/495 is
GCF of Numerators i.e. for 853,466 is 1
LCM of denominators i.e. for 564,495 is 93060.
Thus, GCF of Fractions is 1/93060.Finally, GCF of Fractions for 853/564, 466/495 is 1/93060.