GCF of 61/640, 80/450, 841/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/640, 80/450, 841/675 i.e 1/86400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/640, 80/450, 841/675.
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 61/640,80/450,841/675?
Given fractions are 61/640,80/450,841/675
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 61/640,80/450,841/675, numerators are 61,80,841
Denominators are 640,450,675
The GCF of 61,80,841 is 1 .
LCM of 640,450,675 is 86400.
The greatest common factor of 61/640,80/450,841/675 = [GCF of 61,80,841]/[LCM of 640,450,675]= 1/86400
Therefore, the GCF of 61/640,80/450,841/675 is 1/86400.
To find the highest common factor of 61,80,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 841 are 1, 29, 841
The HCF of 61,80,841 is 1.
Lets's calculate GCF of 61,80,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,80,841 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 61,80,841 . The biggest common factor number is the GCF number.
So the greatest common factor 61,80,841 is 1.
Lets's calculate LCM of 640,450,675
| 2 | 640, 450, 675 |
| 3 | 320, 225, 675 |
| 3 | 320, 75, 225 |
| 5 | 320, 25, 75 |
| 5 | 64, 5, 15 |
| 64, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 5 x 64 x 1 x 3 = 86400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86400
Therefore, the GCF of Fractions 61/640,80/450,841/675 is 1/86400
Least Common Multiple of 640,450,675 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 640,450,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,450,675) = 5
common factors(in case of two or more numbers have common factors) = 450
GCF(640,450,675) x common factors =5 x 450 = 2250
LCM(640,450,675) = ( 640 × 450 × 675 ) / 2250
LCM(640,450,675) = 194400000 / 2250
LCM(640,450,675) = 86400
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FAQs on GCF of Fractions of 61/640, 80/450, 841/675
1. What is the HCF of 61,80,841?
The HCF of 61,80,841 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 61/640, 80/450, 841/675?
Answer: GCF of Numerators as per given numbers 61/640, 80/450, 841/675 is
GCF of Numerators i.e. for 61,80,841 is 1
LCM of denominators i.e. for 640,450,675 is 86400.
Thus, GCF of Fractions is 1/86400.Finally, GCF of Fractions for 61/640, 80/450, 841/675 is 1/86400.