Highest Common Factor of 570, 160, 353 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 570, 160, 353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 570, 160, 353 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 570, 160, 353 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 570, 160, 353 is 1.
HCF(570, 160, 353) = 1
HCF of 570, 160, 353 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 570, 160, 353 is 1.
Highest Common Factor of 570,160,353 is 1
Step 1: Since 570 > 160, we apply the division lemma to 570 and 160, to get
570 = 160 x 3 + 90
Step 2: Since the reminder 160 ≠ 0, we apply division lemma to 90 and 160, to get
160 = 90 x 1 + 70
Step 3: We consider the new divisor 90 and the new remainder 70, and apply the division lemma to get
90 = 70 x 1 + 20
We consider the new divisor 70 and the new remainder 20,and apply the division lemma to get
70 = 20 x 3 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 570 and 160 is 10
Notice that 10 = HCF(20,10) = HCF(70,20) = HCF(90,70) = HCF(160,90) = HCF(570,160) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 353 > 10, we apply the division lemma to 353 and 10, to get
353 = 10 x 35 + 3
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 3 and 10, to get
10 = 3 x 3 + 1
Step 3: 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 10 and 353 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(353,10) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 570, 160, 353 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 570, 160, 353?
Answer: HCF of 570, 160, 353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 570, 160, 353 using Euclid's Algorithm?
Answer: For arbitrary numbers 570, 160, 353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.