GCF of 8948/562, 9020/4965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8948/562, 9020/4965 i.e 4/2790330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8948/562, 9020/4965.
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 8948/562,9020/4965?
Given fractions are 8948/562,9020/4965
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 8948/562,9020/4965, numerators are 8948,9020
Denominators are 562,4965
The GCF of 8948,9020 is 4 .
LCM of 562,4965 is 2790330.
The greatest common factor of 8948/562,9020/4965 = [GCF of 8948,9020]/[LCM of 562,4965]= 4/2790330
Therefore, the GCF of 8948/562,9020/4965 is 4/2790330.
To find the highest common factor of 8948,9020, we have to find the factors of both numbers and list the highest common factor.
The factors of 8948 are 1, 2, 4, 2237, 4474, 8948
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 HCF of 8948,9020 is 4.
Lets's calculate GCF of 8948,9020
| 2 | 8948, 9020 |
| 2 | 4474, 4510 |
| 2237, 2255 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8948,9020 By Matching Biggest Common Factor Method
Now, list down the factors of 8948
:1,2,4,2237,4474,8948
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
Greatest Common Factor
We found the factors 8948,9020 . The biggest common factor number is the GCF number.
So the greatest common factor 8948,9020 is 4.
Lets's calculate LCM of 562,4965
Given numbers has no common factors except 1. So, there LCM is their product i.e 2790330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2790330
Therefore, the GCF of Fractions 8948/562,9020/4965 is 4/2790330
Least Common Multiple of 562,4965 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 562,4965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,4965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,4965) x common factors =1 x 1 = 1
LCM(562,4965) = ( 562 × 4965 ) / 1
LCM(562,4965) = 2790330 / 1
LCM(562,4965) = 2790330
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FAQs on GCF of Fractions of 8948/562, 9020/4965
1. What is the HCF of 8948,9020?
The HCF of 8948,9020 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 8948/562, 9020/4965?
Answer: GCF of Numerators as per given numbers 8948/562, 9020/4965 is
GCF of Numerators i.e. for 8948,9020 is 4
LCM of denominators i.e. for 562,4965 is 2790330.
Thus, GCF of Fractions is 4/2790330.Finally, GCF of Fractions for 8948/562, 9020/4965 is 4/2790330.