Highest Common Factor of 604, 43620 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 604, 43620 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 604, 43620 is 4 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 604, 43620 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 604, 43620 is 4.
HCF(604, 43620) = 4
HCF of 604, 43620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 604, 43620 is 4.
Highest Common Factor of 604,43620 is 4
Step 1: Since 43620 > 604, we apply the division lemma to 43620 and 604, to get
43620 = 604 x 72 + 132
Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 132 and 604, to get
604 = 132 x 4 + 76
Step 3: We consider the new divisor 132 and the new remainder 76, and apply the division lemma to get
132 = 76 x 1 + 56
We consider the new divisor 76 and the new remainder 56,and apply the division lemma to get
76 = 56 x 1 + 20
We consider the new divisor 56 and the new remainder 20,and apply the division lemma to get
56 = 20 x 2 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 604 and 43620 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(56,20) = HCF(76,56) = HCF(132,76) = HCF(604,132) = HCF(43620,604) .
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Frequently Asked Questions on HCF of 604, 43620 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 604, 43620?
Answer: HCF of 604, 43620 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 604, 43620 using Euclid's Algorithm?
Answer: For arbitrary numbers 604, 43620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.