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 593, 361, 971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 593, 361, 971 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 593, 361, 971 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 593, 361, 971 is 1.
HCF(593, 361, 971) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 593, 361, 971 is 1.
Step 1: Since 593 > 361, we apply the division lemma to 593 and 361, to get
593 = 361 x 1 + 232
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 232 and 361, to get
361 = 232 x 1 + 129
Step 3: We consider the new divisor 232 and the new remainder 129, and apply the division lemma to get
232 = 129 x 1 + 103
We consider the new divisor 129 and the new remainder 103,and apply the division lemma to get
129 = 103 x 1 + 26
We consider the new divisor 103 and the new remainder 26,and apply the division lemma to get
103 = 26 x 3 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 593 and 361 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(103,26) = HCF(129,103) = HCF(232,129) = HCF(361,232) = HCF(593,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 971 > 1, we apply the division lemma to 971 and 1, to get
971 = 1 x 971 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 971 is 1
Notice that 1 = HCF(971,1) .
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 593, 361, 971?
Answer: HCF of 593, 361, 971 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 593, 361, 971 using Euclid's Algorithm?
Answer: For arbitrary numbers 593, 361, 971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.