GCF of 55/64, 825/40, 619/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 55/64, 825/40, 619/491 i.e 1/157120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/64, 825/40, 619/491.
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 55/64,825/40,619/491?
Given fractions are 55/64,825/40,619/491
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 55/64,825/40,619/491, numerators are 55,825,619
Denominators are 64,40,491
The GCF of 55,825,619 is 1 .
LCM of 64,40,491 is 157120.
The greatest common factor of 55/64,825/40,619/491 = [GCF of 55,825,619]/[LCM of 64,40,491]= 1/157120
Therefore, the GCF of 55/64,825/40,619/491 is 1/157120.
To find the highest common factor of 55,825,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 619 are 1, 619
The HCF of 55,825,619 is 1.
Lets's calculate GCF of 55,825,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 55,825,619 By Matching Biggest Common Factor Method
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 55,825,619 . The biggest common factor number is the GCF number.
So the greatest common factor 55,825,619 is 1.
Lets's calculate LCM of 64,40,491
| 2 | 64, 40, 491 |
| 2 | 32, 20, 491 |
| 2 | 16, 10, 491 |
| 8, 5, 491 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 5 x 491 = 157120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157120
Therefore, the GCF of Fractions 55/64,825/40,619/491 is 1/157120
Least Common Multiple of 64,40,491 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 64,40,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,40,491) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(64,40,491) x common factors =1 x 8 = 8
LCM(64,40,491) = ( 64 × 40 × 491 ) / 8
LCM(64,40,491) = 1256960 / 8
LCM(64,40,491) = 157120
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FAQs on GCF of Fractions of 55/64, 825/40, 619/491
1. What is the HCF of 55,825,619?
The HCF of 55,825,619 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 55/64, 825/40, 619/491?
Answer: GCF of Numerators as per given numbers 55/64, 825/40, 619/491 is
GCF of Numerators i.e. for 55,825,619 is 1
LCM of denominators i.e. for 64,40,491 is 157120.
Thus, GCF of Fractions is 1/157120.Finally, GCF of Fractions for 55/64, 825/40, 619/491 is 1/157120.