Highest Common Factor of 588, 386, 256, 497 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 588, 386, 256, 497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 386, 256, 497 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 588, 386, 256, 497 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 588, 386, 256, 497 is 1.
HCF(588, 386, 256, 497) = 1
HCF of 588, 386, 256, 497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 386, 256, 497 is 1.
Highest Common Factor of 588,386,256,497 is 1
Step 1: Since 588 > 386, we apply the division lemma to 588 and 386, to get
588 = 386 x 1 + 202
Step 2: Since the reminder 386 ≠ 0, we apply division lemma to 202 and 386, to get
386 = 202 x 1 + 184
Step 3: We consider the new divisor 202 and the new remainder 184, and apply the division lemma to get
202 = 184 x 1 + 18
We consider the new divisor 184 and the new remainder 18,and apply the division lemma to get
184 = 18 x 10 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 588 and 386 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(184,18) = HCF(202,184) = HCF(386,202) = HCF(588,386) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 256 > 2, we apply the division lemma to 256 and 2, to get
256 = 2 x 128 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 256 is 2
Notice that 2 = HCF(256,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 497 > 2, we apply the division lemma to 497 and 2, to get
497 = 2 x 248 + 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 497 is 1
Notice that 1 = HCF(2,1) = HCF(497,2) .
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Frequently Asked Questions on HCF of 588, 386, 256, 497 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 588, 386, 256, 497?
Answer: HCF of 588, 386, 256, 497 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 386, 256, 497 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 386, 256, 497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.