GCF of 9020/915, 3664/8958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9020/915, 3664/8958 i.e 4/2732190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9020/915, 3664/8958.
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 9020/915,3664/8958?
Given fractions are 9020/915,3664/8958
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 9020/915,3664/8958, numerators are 9020,3664
Denominators are 915,8958
The GCF of 9020,3664 is 4 .
LCM of 915,8958 is 2732190.
The greatest common factor of 9020/915,3664/8958 = [GCF of 9020,3664]/[LCM of 915,8958]= 4/2732190
Therefore, the GCF of 9020/915,3664/8958 is 4/2732190.
To find the highest common factor of 9020,3664, we have to find the factors of both numbers and list the highest common factor.
The factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020
The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664
The HCF of 9020,3664 is 4.
Lets's calculate GCF of 9020,3664
| 2 | 9020, 3664 |
| 2 | 4510, 1832 |
| 2255, 916 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9020,3664 By Matching Biggest Common Factor Method
Now, list down the factors of 9020
:1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020
Now, list down the factors of 3664
:1,2,4,8,16,229,458,916,1832,3664
Greatest Common Factor
We found the factors 9020,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 9020,3664 is 4.
Lets's calculate LCM of 915,8958
| 3 | 915, 8958 |
| 305, 2986 |
∴ So the LCM of the given numbers is 3 x 305 x 2986 = 2732190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2732190
Therefore, the GCF of Fractions 9020/915,3664/8958 is 4/2732190
Least Common Multiple of 915,8958 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 915,8958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,8958) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(915,8958) x common factors =3 x 1 = 3
LCM(915,8958) = ( 915 × 8958 ) / 3
LCM(915,8958) = 8196570 / 3
LCM(915,8958) = 2732190
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FAQs on GCF of Fractions of 9020/915, 3664/8958
1. What is the HCF of 9020,3664?
The HCF of 9020,3664 is 4
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 9020/915, 3664/8958?
Answer: GCF of Numerators as per given numbers 9020/915, 3664/8958 is
GCF of Numerators i.e. for 9020,3664 is 4
LCM of denominators i.e. for 915,8958 is 2732190.
Thus, GCF of Fractions is 4/2732190.Finally, GCF of Fractions for 9020/915, 3664/8958 is 4/2732190.