GCF of 28/468, 722/877, 120/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/468, 722/877, 120/624 i.e 2/1641744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/468, 722/877, 120/624.
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 28/468,722/877,120/624?
Given fractions are 28/468,722/877,120/624
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 28/468,722/877,120/624, numerators are 28,722,120
Denominators are 468,877,624
The GCF of 28,722,120 is 2 .
LCM of 468,877,624 is 1641744.
The greatest common factor of 28/468,722/877,120/624 = [GCF of 28,722,120]/[LCM of 468,877,624]= 2/1641744
Therefore, the GCF of 28/468,722/877,120/624 is 2/1641744.
To find the highest common factor of 28,722,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 28,722,120 is 2.
Lets's calculate GCF of 28,722,120
| 2 | 28, 722, 120 |
| 14, 361, 60 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 28,722,120 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 28,722,120 . The biggest common factor number is the GCF number.
So the greatest common factor 28,722,120 is 2.
Lets's calculate LCM of 468,877,624
| 2 | 468, 877, 624 |
| 2 | 234, 877, 312 |
| 3 | 117, 877, 156 |
| 13 | 39, 877, 52 |
| 3, 877, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 877 x 4 = 1641744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1641744
Therefore, the GCF of Fractions 28/468,722/877,120/624 is 2/1641744
Least Common Multiple of 468,877,624 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 468,877,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,877,624) = 1
common factors(in case of two or more numbers have common factors) = 156
GCF(468,877,624) x common factors =1 x 156 = 156
LCM(468,877,624) = ( 468 × 877 × 624 ) / 156
LCM(468,877,624) = 256112064 / 156
LCM(468,877,624) = 1641744
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FAQs on GCF of Fractions of 28/468, 722/877, 120/624
1. What is the HCF of 28,722,120?
The HCF of 28,722,120 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 28/468, 722/877, 120/624?
Answer: GCF of Numerators as per given numbers 28/468, 722/877, 120/624 is
GCF of Numerators i.e. for 28,722,120 is 2
LCM of denominators i.e. for 468,877,624 is 1641744.
Thus, GCF of Fractions is 2/1641744.Finally, GCF of Fractions for 28/468, 722/877, 120/624 is 2/1641744.