Highest Common Factor of 573, 8179 using Euclid's algorithm
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 573, 8179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 573, 8179 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 573, 8179 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 573, 8179 is 1.
HCF(573, 8179) = 1
HCF of 573, 8179 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 573, 8179 is 1.
Highest Common Factor of 573,8179 is 1
Step 1: Since 8179 > 573, we apply the division lemma to 8179 and 573, to get
8179 = 573 x 14 + 157
Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 157 and 573, to get
573 = 157 x 3 + 102
Step 3: We consider the new divisor 157 and the new remainder 102, and apply the division lemma to get
157 = 102 x 1 + 55
We consider the new divisor 102 and the new remainder 55,and apply the division lemma to get
102 = 55 x 1 + 47
We consider the new divisor 55 and the new remainder 47,and apply the division lemma to get
55 = 47 x 1 + 8
We consider the new divisor 47 and the new remainder 8,and apply the division lemma to get
47 = 8 x 5 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 573 and 8179 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(47,8) = HCF(55,47) = HCF(102,55) = HCF(157,102) = HCF(573,157) = HCF(8179,573) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 573, 8179 using Euclid's Algorithm
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 573, 8179?
Answer: HCF of 573, 8179 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 573, 8179 using Euclid's Algorithm?
Answer: For arbitrary numbers 573, 8179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.