GCF of 7490/544, 8250/3836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7490/544, 8250/3836 i.e 10/521696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7490/544, 8250/3836.
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 7490/544,8250/3836?
Given fractions are 7490/544,8250/3836
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 7490/544,8250/3836, numerators are 7490,8250
Denominators are 544,3836
The GCF of 7490,8250 is 10 .
LCM of 544,3836 is 521696.
The greatest common factor of 7490/544,8250/3836 = [GCF of 7490,8250]/[LCM of 544,3836]= 10/521696
Therefore, the GCF of 7490/544,8250/3836 is 10/521696.
To find the highest common factor of 7490,8250, we have to find the factors of both numbers and list the highest common factor.
The factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The HCF of 7490,8250 is 10.
Lets's calculate GCF of 7490,8250
| 2 | 7490, 8250 |
| 5 | 3745, 4125 |
| 749, 825 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7490,8250 By Matching Biggest Common Factor Method
Now, list down the factors of 7490
:1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Greatest Common Factor
We found the factors 7490,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 7490,8250 is 10.
Lets's calculate LCM of 544,3836
| 2 | 544, 3836 |
| 2 | 272, 1918 |
| 136, 959 |
∴ So the LCM of the given numbers is 2 x 2 x 136 x 959 = 521696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/521696
Therefore, the GCF of Fractions 7490/544,8250/3836 is 10/521696
Least Common Multiple of 544,3836 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 544,3836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,3836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(544,3836) x common factors =4 x 1 = 4
LCM(544,3836) = ( 544 × 3836 ) / 4
LCM(544,3836) = 2086784 / 4
LCM(544,3836) = 521696
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FAQs on GCF of Fractions of 7490/544, 8250/3836
1. What is the HCF of 7490,8250?
The HCF of 7490,8250 is 10
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 7490/544, 8250/3836?
Answer: GCF of Numerators as per given numbers 7490/544, 8250/3836 is
GCF of Numerators i.e. for 7490,8250 is 10
LCM of denominators i.e. for 544,3836 is 521696.
Thus, GCF of Fractions is 10/521696.Finally, GCF of Fractions for 7490/544, 8250/3836 is 10/521696.