GCF of 1565/716, 8906/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1565/716, 8906/820 i.e 1/146780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1565/716, 8906/820.
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 1565/716,8906/820?
Given fractions are 1565/716,8906/820
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 1565/716,8906/820, numerators are 1565,8906
Denominators are 716,820
The GCF of 1565,8906 is 1 .
LCM of 716,820 is 146780.
The greatest common factor of 1565/716,8906/820 = [GCF of 1565,8906]/[LCM of 716,820]= 1/146780
Therefore, the GCF of 1565/716,8906/820 is 1/146780.
To find the highest common factor of 1565,8906, we have to find the factors of both numbers and list the highest common factor.
The factors of 1565 are 1, 5, 313, 1565
The factors of 8906 are 1, 2, 61, 73, 122, 146, 4453, 8906
The HCF of 1565,8906 is 1.
Lets's calculate GCF of 1565,8906
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1565,8906 By Matching Biggest Common Factor Method
Now, list down the factors of 1565
:1,5,313,1565
Now, list down the factors of 8906
:1,2,61,73,122,146,4453,8906
Greatest Common Factor
We found the factors 1565,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 1565,8906 is 1.
Lets's calculate LCM of 716,820
| 2 | 716, 820 |
| 2 | 358, 410 |
| 179, 205 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 205 = 146780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146780
Therefore, the GCF of Fractions 1565/716,8906/820 is 1/146780
Least Common Multiple of 716,820 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 716,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,820) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(716,820) x common factors =4 x 1 = 4
LCM(716,820) = ( 716 × 820 ) / 4
LCM(716,820) = 587120 / 4
LCM(716,820) = 146780
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FAQs on GCF of Fractions of 1565/716, 8906/820
1. What is the HCF of 1565,8906?
The HCF of 1565,8906 is 1
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 1565/716, 8906/820?
Answer: GCF of Numerators as per given numbers 1565/716, 8906/820 is
GCF of Numerators i.e. for 1565,8906 is 1
LCM of denominators i.e. for 716,820 is 146780.
Thus, GCF of Fractions is 1/146780.Finally, GCF of Fractions for 1565/716, 8906/820 is 1/146780.