GCF of 5770/775, 3780/525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5770/775, 3780/525 i.e 10/16275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5770/775, 3780/525.
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 5770/775,3780/525?
Given fractions are 5770/775,3780/525
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 5770/775,3780/525, numerators are 5770,3780
Denominators are 775,525
The GCF of 5770,3780 is 10 .
LCM of 775,525 is 16275.
The greatest common factor of 5770/775,3780/525 = [GCF of 5770,3780]/[LCM of 775,525]= 10/16275
Therefore, the GCF of 5770/775,3780/525 is 10/16275.
To find the highest common factor of 5770,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 5770,3780 is 10.
Lets's calculate GCF of 5770,3780
| 2 | 5770, 3780 |
| 5 | 2885, 1890 |
| 577, 378 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5770,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 5770
:1,2,5,10,577,1154,2885,5770
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 5770,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 5770,3780 is 10.
Lets's calculate LCM of 775,525
| 5 | 775, 525 |
| 5 | 155, 105 |
| 31, 21 |
∴ So the LCM of the given numbers is 5 x 5 x 31 x 21 = 16275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/16275
Therefore, the GCF of Fractions 5770/775,3780/525 is 10/16275
Least Common Multiple of 775,525 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 775,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,525) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(775,525) x common factors =25 x 1 = 25
LCM(775,525) = ( 775 × 525 ) / 25
LCM(775,525) = 406875 / 25
LCM(775,525) = 16275
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FAQs on GCF of Fractions of 5770/775, 3780/525
1. What is the HCF of 5770,3780?
The HCF of 5770,3780 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 5770/775, 3780/525?
Answer: GCF of Numerators as per given numbers 5770/775, 3780/525 is
GCF of Numerators i.e. for 5770,3780 is 10
LCM of denominators i.e. for 775,525 is 16275.
Thus, GCF of Fractions is 10/16275.Finally, GCF of Fractions for 5770/775, 3780/525 is 10/16275.