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 592, 805, 174 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 592, 805, 174 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 592, 805, 174 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 592, 805, 174 is 1.
HCF(592, 805, 174) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 592, 805, 174 is 1.
Step 1: Since 805 > 592, we apply the division lemma to 805 and 592, to get
805 = 592 x 1 + 213
Step 2: Since the reminder 592 ≠ 0, we apply division lemma to 213 and 592, to get
592 = 213 x 2 + 166
Step 3: We consider the new divisor 213 and the new remainder 166, and apply the division lemma to get
213 = 166 x 1 + 47
We consider the new divisor 166 and the new remainder 47,and apply the division lemma to get
166 = 47 x 3 + 25
We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get
47 = 25 x 1 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 592 and 805 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(166,47) = HCF(213,166) = HCF(592,213) = HCF(805,592) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 174 > 1, we apply the division lemma to 174 and 1, to get
174 = 1 x 174 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 174 is 1
Notice that 1 = HCF(174,1) .
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 592, 805, 174?
Answer: HCF of 592, 805, 174 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 592, 805, 174 using Euclid's Algorithm?
Answer: For arbitrary numbers 592, 805, 174 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.