Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 566, 447, 863, 917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 566, 447, 863, 917 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 566, 447, 863, 917 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 566, 447, 863, 917 is 1.
HCF(566, 447, 863, 917) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 566, 447, 863, 917 is 1.
Step 1: Since 566 > 447, we apply the division lemma to 566 and 447, to get
566 = 447 x 1 + 119
Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 119 and 447, to get
447 = 119 x 3 + 90
Step 3: We consider the new divisor 119 and the new remainder 90, and apply the division lemma to get
119 = 90 x 1 + 29
We consider the new divisor 90 and the new remainder 29,and apply the division lemma to get
90 = 29 x 3 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 566 and 447 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(90,29) = HCF(119,90) = HCF(447,119) = HCF(566,447) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 863 > 1, we apply the division lemma to 863 and 1, to get
863 = 1 x 863 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 863 is 1
Notice that 1 = HCF(863,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 917 > 1, we apply the division lemma to 917 and 1, to get
917 = 1 x 917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 917 is 1
Notice that 1 = HCF(917,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 566, 447, 863, 917?
Answer: HCF of 566, 447, 863, 917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 566, 447, 863, 917 using Euclid's Algorithm?
Answer: For arbitrary numbers 566, 447, 863, 917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.