GCF of 62/822, 49/480, 825/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/822, 49/480, 825/300 i.e 1/328800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/822, 49/480, 825/300.
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 62/822,49/480,825/300?
Given fractions are 62/822,49/480,825/300
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 62/822,49/480,825/300, numerators are 62,49,825
Denominators are 822,480,300
The GCF of 62,49,825 is 1 .
LCM of 822,480,300 is 328800.
The greatest common factor of 62/822,49/480,825/300 = [GCF of 62,49,825]/[LCM of 822,480,300]= 1/328800
Therefore, the GCF of 62/822,49/480,825/300 is 1/328800.
To find the highest common factor of 62,49,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 49 are 1, 7, 49
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 62,49,825 is 1.
Lets's calculate GCF of 62,49,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,49,825 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 62,49,825 . The biggest common factor number is the GCF number.
So the greatest common factor 62,49,825 is 1.
Lets's calculate LCM of 822,480,300
| 2 | 822, 480, 300 |
| 2 | 411, 240, 150 |
| 3 | 411, 120, 75 |
| 5 | 137, 40, 25 |
| 137, 8, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 137 x 8 x 5 = 328800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328800
Therefore, the GCF of Fractions 62/822,49/480,825/300 is 1/328800
Least Common Multiple of 822,480,300 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 822,480,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,480,300) = 6
common factors(in case of two or more numbers have common factors) = 60
GCF(822,480,300) x common factors =6 x 60 = 360
LCM(822,480,300) = ( 822 × 480 × 300 ) / 360
LCM(822,480,300) = 118368000 / 360
LCM(822,480,300) = 328800
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FAQs on GCF of Fractions of 62/822, 49/480, 825/300
1. What is the HCF of 62,49,825?
The HCF of 62,49,825 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 62/822, 49/480, 825/300?
Answer: GCF of Numerators as per given numbers 62/822, 49/480, 825/300 is
GCF of Numerators i.e. for 62,49,825 is 1
LCM of denominators i.e. for 822,480,300 is 328800.
Thus, GCF of Fractions is 1/328800.Finally, GCF of Fractions for 62/822, 49/480, 825/300 is 1/328800.