GCF of 6618/634, 5886/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6618/634, 5886/565 i.e 6/358210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6618/634, 5886/565.
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 6618/634,5886/565?
Given fractions are 6618/634,5886/565
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 6618/634,5886/565, numerators are 6618,5886
Denominators are 634,565
The GCF of 6618,5886 is 6 .
LCM of 634,565 is 358210.
The greatest common factor of 6618/634,5886/565 = [GCF of 6618,5886]/[LCM of 634,565]= 6/358210
Therefore, the GCF of 6618/634,5886/565 is 6/358210.
To find the highest common factor of 6618,5886, we have to find the factors of both numbers and list the highest common factor.
The factors of 6618 are 1, 2, 3, 6, 1103, 2206, 3309, 6618
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The HCF of 6618,5886 is 6.
Lets's calculate GCF of 6618,5886
| 2 | 6618, 5886 |
| 3 | 3309, 2943 |
| 1103, 981 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6618,5886 By Matching Biggest Common Factor Method
Now, list down the factors of 6618
:1,2,3,6,1103,2206,3309,6618
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Greatest Common Factor
We found the factors 6618,5886 . The biggest common factor number is the GCF number.
So the greatest common factor 6618,5886 is 6.
Lets's calculate LCM of 634,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 358210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/358210
Therefore, the GCF of Fractions 6618/634,5886/565 is 6/358210
Least Common Multiple of 634,565 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 634,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,565) x common factors =1 x 1 = 1
LCM(634,565) = ( 634 × 565 ) / 1
LCM(634,565) = 358210 / 1
LCM(634,565) = 358210
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FAQs on GCF of Fractions of 6618/634, 5886/565
1. What is the HCF of 6618,5886?
The HCF of 6618,5886 is 6
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 6618/634, 5886/565?
Answer: GCF of Numerators as per given numbers 6618/634, 5886/565 is
GCF of Numerators i.e. for 6618,5886 is 6
LCM of denominators i.e. for 634,565 is 358210.
Thus, GCF of Fractions is 6/358210.Finally, GCF of Fractions for 6618/634, 5886/565 is 6/358210.