GCF of 9040/407, 9702/552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9040/407, 9702/552 i.e 2/224664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9040/407, 9702/552.
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 9040/407,9702/552?
Given fractions are 9040/407,9702/552
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 9040/407,9702/552, numerators are 9040,9702
Denominators are 407,552
The GCF of 9040,9702 is 2 .
LCM of 407,552 is 224664.
The greatest common factor of 9040/407,9702/552 = [GCF of 9040,9702]/[LCM of 407,552]= 2/224664
Therefore, the GCF of 9040/407,9702/552 is 2/224664.
To find the highest common factor of 9040,9702, we have to find the factors of both numbers and list the highest common factor.
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The factors of 9702 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702
The HCF of 9040,9702 is 2.
Lets's calculate GCF of 9040,9702
| 2 | 9040, 9702 |
| 4520, 4851 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9040,9702 By Matching Biggest Common Factor Method
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Now, list down the factors of 9702
:1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702
Greatest Common Factor
We found the factors 9040,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,9702 is 2.
Lets's calculate LCM of 407,552
Given numbers has no common factors except 1. So, there LCM is their product i.e 224664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224664
Therefore, the GCF of Fractions 9040/407,9702/552 is 2/224664
Least Common Multiple of 407,552 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 407,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,552) x common factors =1 x 1 = 1
LCM(407,552) = ( 407 × 552 ) / 1
LCM(407,552) = 224664 / 1
LCM(407,552) = 224664
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FAQs on GCF of Fractions of 9040/407, 9702/552
1. What is the HCF of 9040,9702?
The HCF of 9040,9702 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 9040/407, 9702/552?
Answer: GCF of Numerators as per given numbers 9040/407, 9702/552 is
GCF of Numerators i.e. for 9040,9702 is 2
LCM of denominators i.e. for 407,552 is 224664.
Thus, GCF of Fractions is 2/224664.Finally, GCF of Fractions for 9040/407, 9702/552 is 2/224664.