GCF of 441/616, 465/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/616, 465/562 i.e 3/173096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/616, 465/562.
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 441/616,465/562?
Given fractions are 441/616,465/562
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 441/616,465/562, numerators are 441,465
Denominators are 616,562
The GCF of 441,465 is 3 .
LCM of 616,562 is 173096.
The greatest common factor of 441/616,465/562 = [GCF of 441,465]/[LCM of 616,562]= 3/173096
Therefore, the GCF of 441/616,465/562 is 3/173096.
To find the highest common factor of 441,465, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465
The HCF of 441,465 is 3.
Lets's calculate GCF of 441,465
| 3 | 441, 465 |
| 147, 155 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 441,465 By Matching Biggest Common Factor Method
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 465
:1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 441,465 . The biggest common factor number is the GCF number.
So the greatest common factor 441,465 is 3.
Lets's calculate LCM of 616,562
| 2 | 616, 562 |
| 308, 281 |
∴ So the LCM of the given numbers is 2 x 308 x 281 = 173096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/173096
Therefore, the GCF of Fractions 441/616,465/562 is 3/173096
Least Common Multiple of 616,562 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 616,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,562) x common factors =2 x 1 = 2
LCM(616,562) = ( 616 × 562 ) / 2
LCM(616,562) = 346192 / 2
LCM(616,562) = 173096
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FAQs on GCF of Fractions of 441/616, 465/562
1. What is the HCF of 441,465?
The HCF of 441,465 is 3
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 441/616, 465/562?
Answer: GCF of Numerators as per given numbers 441/616, 465/562 is
GCF of Numerators i.e. for 441,465 is 3
LCM of denominators i.e. for 616,562 is 173096.
Thus, GCF of Fractions is 3/173096.Finally, GCF of Fractions for 441/616, 465/562 is 3/173096.