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 809, 593, 42, 418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 809, 593, 42, 418 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 809, 593, 42, 418 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 809, 593, 42, 418 is 1.
HCF(809, 593, 42, 418) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 809, 593, 42, 418 is 1.
Step 1: Since 809 > 593, we apply the division lemma to 809 and 593, to get
809 = 593 x 1 + 216
Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 216 and 593, to get
593 = 216 x 2 + 161
Step 3: We consider the new divisor 216 and the new remainder 161, and apply the division lemma to get
216 = 161 x 1 + 55
We consider the new divisor 161 and the new remainder 55,and apply the division lemma to get
161 = 55 x 2 + 51
We consider the new divisor 55 and the new remainder 51,and apply the division lemma to get
55 = 51 x 1 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 809 and 593 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(55,51) = HCF(161,55) = HCF(216,161) = HCF(593,216) = HCF(809,593) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 42 > 1, we apply the division lemma to 42 and 1, to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42 is 1
Notice that 1 = HCF(42,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 418 > 1, we apply the division lemma to 418 and 1, to get
418 = 1 x 418 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 418 is 1
Notice that 1 = HCF(418,1) .
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 809, 593, 42, 418?
Answer: HCF of 809, 593, 42, 418 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 809, 593, 42, 418 using Euclid's Algorithm?
Answer: For arbitrary numbers 809, 593, 42, 418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.