GCF of 96/490, 3600/6756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/490, 3600/6756 i.e 48/1655220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/490, 3600/6756.
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 96/490,3600/6756?
Given fractions are 96/490,3600/6756
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 96/490,3600/6756, numerators are 96,3600
Denominators are 490,6756
The GCF of 96,3600 is 48 .
LCM of 490,6756 is 1655220.
The greatest common factor of 96/490,3600/6756 = [GCF of 96,3600]/[LCM of 490,6756]= 48/1655220
Therefore, the GCF of 96/490,3600/6756 is 48/1655220.
To find the highest common factor of 96,3600, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600
The HCF of 96,3600 is 48.
Lets's calculate GCF of 96,3600
| 2 | 96, 3600 |
| 2 | 48, 1800 |
| 2 | 24, 900 |
| 2 | 12, 450 |
| 3 | 6, 225 |
| 2, 75 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 96,3600 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 3600
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600
Greatest Common Factor
We found the factors 96,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 96,3600 is 48.
Lets's calculate LCM of 490,6756
| 2 | 490, 6756 |
| 245, 3378 |
∴ So the LCM of the given numbers is 2 x 245 x 3378 = 1655220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/1655220
Therefore, the GCF of Fractions 96/490,3600/6756 is 48/1655220
Least Common Multiple of 490,6756 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 490,6756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,6756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,6756) x common factors =2 x 1 = 2
LCM(490,6756) = ( 490 × 6756 ) / 2
LCM(490,6756) = 3310440 / 2
LCM(490,6756) = 1655220
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FAQs on GCF of Fractions of 96/490, 3600/6756
1. What is the HCF of 96,3600?
The HCF of 96,3600 is 48
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 96/490, 3600/6756?
Answer: GCF of Numerators as per given numbers 96/490, 3600/6756 is
GCF of Numerators i.e. for 96,3600 is 48
LCM of denominators i.e. for 490,6756 is 1655220.
Thus, GCF of Fractions is 48/1655220.Finally, GCF of Fractions for 96/490, 3600/6756 is 48/1655220.