GCF of 656/83, 820/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 656/83, 820/547 i.e 164/45401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/83, 820/547.
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 656/83,820/547?
Given fractions are 656/83,820/547
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 656/83,820/547, numerators are 656,820
Denominators are 83,547
The GCF of 656,820 is 164 .
LCM of 83,547 is 45401.
The greatest common factor of 656/83,820/547 = [GCF of 656,820]/[LCM of 83,547]= 164/45401
Therefore, the GCF of 656/83,820/547 is 164/45401.
To find the highest common factor of 656,820, we have to find the factors of both numbers and list the highest common factor.
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The HCF of 656,820 is 164.
Lets's calculate GCF of 656,820
| 2 | 656, 820 |
| 2 | 328, 410 |
| 41 | 164, 205 |
| 4, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 41 = 164
Greatest Common Factor of 656,820 By Matching Biggest Common Factor Method
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 656,820 . The biggest common factor number is the GCF number.
So the greatest common factor 656,820 is 164.
Lets's calculate LCM of 83,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 45401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 164/45401
Therefore, the GCF of Fractions 656/83,820/547 is 164/45401
Least Common Multiple of 83,547 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 83,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,547) x common factors =1 x 1 = 1
LCM(83,547) = ( 83 × 547 ) / 1
LCM(83,547) = 45401 / 1
LCM(83,547) = 45401
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FAQs on GCF of Fractions of 656/83, 820/547
1. What is the HCF of 656,820?
The HCF of 656,820 is 164
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 656/83, 820/547?
Answer: GCF of Numerators as per given numbers 656/83, 820/547 is
GCF of Numerators i.e. for 656,820 is 164
LCM of denominators i.e. for 83,547 is 45401.
Thus, GCF of Fractions is 164/45401.Finally, GCF of Fractions for 656/83, 820/547 is 164/45401.