Highest Common Factor of 568, 497, 392 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 568, 497, 392 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 497, 392 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 568, 497, 392 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 568, 497, 392 is 1.
HCF(568, 497, 392) = 1
HCF of 568, 497, 392 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 497, 392 is 1.
Highest Common Factor of 568,497,392 is 1
Step 1: Since 568 > 497, we apply the division lemma to 568 and 497, to get
568 = 497 x 1 + 71
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 71 and 497, to get
497 = 71 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 568 and 497 is 71
Notice that 71 = HCF(497,71) = HCF(568,497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 392 > 71, we apply the division lemma to 392 and 71, to get
392 = 71 x 5 + 37
Step 2: Since the reminder 71 ≠ 0, we apply division lemma to 37 and 71, to get
71 = 37 x 1 + 34
Step 3: We consider the new divisor 37 and the new remainder 34, and apply the division lemma to get
37 = 34 x 1 + 3
We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get
34 = 3 x 11 + 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 71 and 392 is 1
Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(71,37) = HCF(392,71) .
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Frequently Asked Questions on HCF of 568, 497, 392 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 568, 497, 392?
Answer: HCF of 568, 497, 392 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 497, 392 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 497, 392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.