GCF of 5706/690, 9728/225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5706/690, 9728/225 i.e 2/10350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5706/690, 9728/225.
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 5706/690,9728/225?
Given fractions are 5706/690,9728/225
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 5706/690,9728/225, numerators are 5706,9728
Denominators are 690,225
The GCF of 5706,9728 is 2 .
LCM of 690,225 is 10350.
The greatest common factor of 5706/690,9728/225 = [GCF of 5706,9728]/[LCM of 690,225]= 2/10350
Therefore, the GCF of 5706/690,9728/225 is 2/10350.
To find the highest common factor of 5706,9728, we have to find the factors of both numbers and list the highest common factor.
The factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706
The factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728
The HCF of 5706,9728 is 2.
Lets's calculate GCF of 5706,9728
| 2 | 5706, 9728 |
| 2853, 4864 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5706,9728 By Matching Biggest Common Factor Method
Now, list down the factors of 5706
:1,2,3,6,9,18,317,634,951,1902,2853,5706
Now, list down the factors of 9728
:1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Greatest Common Factor
We found the factors 5706,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 5706,9728 is 2.
Lets's calculate LCM of 690,225
| 3 | 690, 225 |
| 5 | 230, 75 |
| 46, 15 |
∴ So the LCM of the given numbers is 3 x 5 x 46 x 15 = 10350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10350
Therefore, the GCF of Fractions 5706/690,9728/225 is 2/10350
Least Common Multiple of 690,225 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 690,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,225) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(690,225) x common factors =15 x 1 = 15
LCM(690,225) = ( 690 × 225 ) / 15
LCM(690,225) = 155250 / 15
LCM(690,225) = 10350
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FAQs on GCF of Fractions of 5706/690, 9728/225
1. What is the HCF of 5706,9728?
The HCF of 5706,9728 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 5706/690, 9728/225?
Answer: GCF of Numerators as per given numbers 5706/690, 9728/225 is
GCF of Numerators i.e. for 5706,9728 is 2
LCM of denominators i.e. for 690,225 is 10350.
Thus, GCF of Fractions is 2/10350.Finally, GCF of Fractions for 5706/690, 9728/225 is 2/10350.