GCF of 3028/747, 4650/1350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3028/747, 4650/1350 i.e 2/112050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3028/747, 4650/1350.
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 3028/747,4650/1350?
Given fractions are 3028/747,4650/1350
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 3028/747,4650/1350, numerators are 3028,4650
Denominators are 747,1350
The GCF of 3028,4650 is 2 .
LCM of 747,1350 is 112050.
The greatest common factor of 3028/747,4650/1350 = [GCF of 3028,4650]/[LCM of 747,1350]= 2/112050
Therefore, the GCF of 3028/747,4650/1350 is 2/112050.
To find the highest common factor of 3028,4650, we have to find the factors of both numbers and list the highest common factor.
The factors of 3028 are 1, 2, 4, 757, 1514, 3028
The factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650
The HCF of 3028,4650 is 2.
Lets's calculate GCF of 3028,4650
| 2 | 3028, 4650 |
| 1514, 2325 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3028,4650 By Matching Biggest Common Factor Method
Now, list down the factors of 3028
:1,2,4,757,1514,3028
Now, list down the factors of 4650
:1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650
Greatest Common Factor
We found the factors 3028,4650 . The biggest common factor number is the GCF number.
So the greatest common factor 3028,4650 is 2.
Lets's calculate LCM of 747,1350
| 3 | 747, 1350 |
| 3 | 249, 450 |
| 83, 150 |
∴ So the LCM of the given numbers is 3 x 3 x 83 x 150 = 112050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112050
Therefore, the GCF of Fractions 3028/747,4650/1350 is 2/112050
Least Common Multiple of 747,1350 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 747,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,1350) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(747,1350) x common factors =9 x 1 = 9
LCM(747,1350) = ( 747 × 1350 ) / 9
LCM(747,1350) = 1008450 / 9
LCM(747,1350) = 112050
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FAQs on GCF of Fractions of 3028/747, 4650/1350
1. What is the HCF of 3028,4650?
The HCF of 3028,4650 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 3028/747, 4650/1350?
Answer: GCF of Numerators as per given numbers 3028/747, 4650/1350 is
GCF of Numerators i.e. for 3028,4650 is 2
LCM of denominators i.e. for 747,1350 is 112050.
Thus, GCF of Fractions is 2/112050.Finally, GCF of Fractions for 3028/747, 4650/1350 is 2/112050.