Highest Common Factor of 602, 368, 571 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 602, 368, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 368, 571 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 602, 368, 571 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 602, 368, 571 is 1.
HCF(602, 368, 571) = 1
HCF of 602, 368, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 368, 571 is 1.
Highest Common Factor of 602,368,571 is 1
Step 1: Since 602 > 368, we apply the division lemma to 602 and 368, to get
602 = 368 x 1 + 234
Step 2: Since the reminder 368 ≠ 0, we apply division lemma to 234 and 368, to get
368 = 234 x 1 + 134
Step 3: We consider the new divisor 234 and the new remainder 134, and apply the division lemma to get
234 = 134 x 1 + 100
We consider the new divisor 134 and the new remainder 100,and apply the division lemma to get
134 = 100 x 1 + 34
We consider the new divisor 100 and the new remainder 34,and apply the division lemma to get
100 = 34 x 2 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 602 and 368 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(100,34) = HCF(134,100) = HCF(234,134) = HCF(368,234) = HCF(602,368) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 571 > 2, we apply the division lemma to 571 and 2, to get
571 = 2 x 285 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(571,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 602, 368, 571 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 602, 368, 571?
Answer: HCF of 602, 368, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 368, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 368, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.