Highest Common Factor of 382, 524, 61, 604 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 382, 524, 61, 604 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 382, 524, 61, 604 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 382, 524, 61, 604 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 382, 524, 61, 604 is 1.
HCF(382, 524, 61, 604) = 1
HCF of 382, 524, 61, 604 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 382, 524, 61, 604 is 1.
Highest Common Factor of 382,524,61,604 is 1
Step 1: Since 524 > 382, we apply the division lemma to 524 and 382, to get
524 = 382 x 1 + 142
Step 2: Since the reminder 382 ≠ 0, we apply division lemma to 142 and 382, to get
382 = 142 x 2 + 98
Step 3: We consider the new divisor 142 and the new remainder 98, and apply the division lemma to get
142 = 98 x 1 + 44
We consider the new divisor 98 and the new remainder 44,and apply the division lemma to get
98 = 44 x 2 + 10
We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get
44 = 10 x 4 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 382 and 524 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(98,44) = HCF(142,98) = HCF(382,142) = HCF(524,382) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 2, we apply the division lemma to 61 and 2, to get
61 = 2 x 30 + 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 61 is 1
Notice that 1 = HCF(2,1) = HCF(61,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 604 > 1, we apply the division lemma to 604 and 1, to get
604 = 1 x 604 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 604 is 1
Notice that 1 = HCF(604,1) .
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Frequently Asked Questions on HCF of 382, 524, 61, 604 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 382, 524, 61, 604?
Answer: HCF of 382, 524, 61, 604 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 382, 524, 61, 604 using Euclid's Algorithm?
Answer: For arbitrary numbers 382, 524, 61, 604 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.