GCF of 7472/575, 1520/9771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7472/575, 1520/9771 i.e 16/5618325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7472/575, 1520/9771.
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 7472/575,1520/9771?
Given fractions are 7472/575,1520/9771
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 7472/575,1520/9771, numerators are 7472,1520
Denominators are 575,9771
The GCF of 7472,1520 is 16 .
LCM of 575,9771 is 5618325.
The greatest common factor of 7472/575,1520/9771 = [GCF of 7472,1520]/[LCM of 575,9771]= 16/5618325
Therefore, the GCF of 7472/575,1520/9771 is 16/5618325.
To find the highest common factor of 7472,1520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472
The factors of 1520 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 76, 80, 95, 152, 190, 304, 380, 760, 1520
The HCF of 7472,1520 is 16.
Lets's calculate GCF of 7472,1520
| 2 | 7472, 1520 |
| 2 | 3736, 760 |
| 2 | 1868, 380 |
| 2 | 934, 190 |
| 467, 95 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7472,1520 By Matching Biggest Common Factor Method
Now, list down the factors of 7472
:1,2,4,8,16,467,934,1868,3736,7472
Now, list down the factors of 1520
:1,2,4,5,8,10,16,19,20,38,40,76,80,95,152,190,304,380,760,1520
Greatest Common Factor
We found the factors 7472,1520 . The biggest common factor number is the GCF number.
So the greatest common factor 7472,1520 is 16.
Lets's calculate LCM of 575,9771
Given numbers has no common factors except 1. So, there LCM is their product i.e 5618325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/5618325
Therefore, the GCF of Fractions 7472/575,1520/9771 is 16/5618325
Least Common Multiple of 575,9771 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 575,9771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,9771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,9771) x common factors =1 x 1 = 1
LCM(575,9771) = ( 575 × 9771 ) / 1
LCM(575,9771) = 5618325 / 1
LCM(575,9771) = 5618325
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FAQs on GCF of Fractions of 7472/575, 1520/9771
1. What is the HCF of 7472,1520?
The HCF of 7472,1520 is 16
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 7472/575, 1520/9771?
Answer: GCF of Numerators as per given numbers 7472/575, 1520/9771 is
GCF of Numerators i.e. for 7472,1520 is 16
LCM of denominators i.e. for 575,9771 is 5618325.
Thus, GCF of Fractions is 16/5618325.Finally, GCF of Fractions for 7472/575, 1520/9771 is 16/5618325.