GCF of 900/78, 824/62, 130/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 900/78, 824/62, 130/506 i.e 2/611754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/78, 824/62, 130/506.
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 900/78,824/62,130/506?
Given fractions are 900/78,824/62,130/506
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 900/78,824/62,130/506, numerators are 900,824,130
Denominators are 78,62,506
The GCF of 900,824,130 is 2 .
LCM of 78,62,506 is 611754.
The greatest common factor of 900/78,824/62,130/506 = [GCF of 900,824,130]/[LCM of 78,62,506]= 2/611754
Therefore, the GCF of 900/78,824/62,130/506 is 2/611754.
To find the highest common factor of 900,824,130, we have to find the factors of both numbers and list the highest common factor.
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The HCF of 900,824,130 is 2.
Lets's calculate GCF of 900,824,130
| 2 | 900, 824, 130 |
| 450, 412, 65 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 900,824,130 By Matching Biggest Common Factor Method
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 900,824,130 . The biggest common factor number is the GCF number.
So the greatest common factor 900,824,130 is 2.
Lets's calculate LCM of 78,62,506
| 2 | 78, 62, 506 |
| 39, 31, 253 |
∴ So the LCM of the given numbers is 2 x 39 x 31 x 253 = 611754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/611754
Therefore, the GCF of Fractions 900/78,824/62,130/506 is 2/611754
Least Common Multiple of 78,62,506 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 78,62,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,62,506) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(78,62,506) x common factors =2 x 2 = 4
LCM(78,62,506) = ( 78 × 62 × 506 ) / 4
LCM(78,62,506) = 2447016 / 4
LCM(78,62,506) = 611754
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FAQs on GCF of Fractions of 900/78, 824/62, 130/506
1. What is the HCF of 900,824,130?
The HCF of 900,824,130 is 2
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 900/78, 824/62, 130/506?
Answer: GCF of Numerators as per given numbers 900/78, 824/62, 130/506 is
GCF of Numerators i.e. for 900,824,130 is 2
LCM of denominators i.e. for 78,62,506 is 611754.
Thus, GCF of Fractions is 2/611754.Finally, GCF of Fractions for 900/78, 824/62, 130/506 is 2/611754.