Highest Common Factor of 5972, 8476 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 5972, 8476 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 5972, 8476 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 5972, 8476 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 5972, 8476 is 4.
HCF(5972, 8476) = 4
HCF of 5972, 8476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5972, 8476 is 4.
Highest Common Factor of 5972,8476 is 4
Step 1: Since 8476 > 5972, we apply the division lemma to 8476 and 5972, to get
8476 = 5972 x 1 + 2504
Step 2: Since the reminder 5972 ≠ 0, we apply division lemma to 2504 and 5972, to get
5972 = 2504 x 2 + 964
Step 3: We consider the new divisor 2504 and the new remainder 964, and apply the division lemma to get
2504 = 964 x 2 + 576
We consider the new divisor 964 and the new remainder 576,and apply the division lemma to get
964 = 576 x 1 + 388
We consider the new divisor 576 and the new remainder 388,and apply the division lemma to get
576 = 388 x 1 + 188
We consider the new divisor 388 and the new remainder 188,and apply the division lemma to get
388 = 188 x 2 + 12
We consider the new divisor 188 and the new remainder 12,and apply the division lemma to get
188 = 12 x 15 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 5972 and 8476 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(188,12) = HCF(388,188) = HCF(576,388) = HCF(964,576) = HCF(2504,964) = HCF(5972,2504) = HCF(8476,5972) .
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Frequently Asked Questions on HCF of 5972, 8476 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 5972, 8476?
Answer: HCF of 5972, 8476 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5972, 8476 using Euclid's Algorithm?
Answer: For arbitrary numbers 5972, 8476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.