Highest Common Factor of 379, 897, 569 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 379, 897, 569 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 379, 897, 569 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 379, 897, 569 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 379, 897, 569 is 1.
HCF(379, 897, 569) = 1
HCF of 379, 897, 569 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 379, 897, 569 is 1.
Highest Common Factor of 379,897,569 is 1
Step 1: Since 897 > 379, we apply the division lemma to 897 and 379, to get
897 = 379 x 2 + 139
Step 2: Since the reminder 379 ≠ 0, we apply division lemma to 139 and 379, to get
379 = 139 x 2 + 101
Step 3: We consider the new divisor 139 and the new remainder 101, and apply the division lemma to get
139 = 101 x 1 + 38
We consider the new divisor 101 and the new remainder 38,and apply the division lemma to get
101 = 38 x 2 + 25
We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get
38 = 25 x 1 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 379 and 897 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(101,38) = HCF(139,101) = HCF(379,139) = HCF(897,379) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 569 > 1, we apply the division lemma to 569 and 1, to get
569 = 1 x 569 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 569 is 1
Notice that 1 = HCF(569,1) .
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Frequently Asked Questions on HCF of 379, 897, 569 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 379, 897, 569?
Answer: HCF of 379, 897, 569 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 379, 897, 569 using Euclid's Algorithm?
Answer: For arbitrary numbers 379, 897, 569 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
