Highest Common Factor of 3216, 4204, 72672 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 3216, 4204, 72672 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3216, 4204, 72672 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 3216, 4204, 72672 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 3216, 4204, 72672 is 4.
HCF(3216, 4204, 72672) = 4
HCF of 3216, 4204, 72672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3216, 4204, 72672 is 4.
Highest Common Factor of 3216,4204,72672 is 4
Step 1: Since 4204 > 3216, we apply the division lemma to 4204 and 3216, to get
4204 = 3216 x 1 + 988
Step 2: Since the reminder 3216 ≠ 0, we apply division lemma to 988 and 3216, to get
3216 = 988 x 3 + 252
Step 3: We consider the new divisor 988 and the new remainder 252, and apply the division lemma to get
988 = 252 x 3 + 232
We consider the new divisor 252 and the new remainder 232,and apply the division lemma to get
252 = 232 x 1 + 20
We consider the new divisor 232 and the new remainder 20,and apply the division lemma to get
232 = 20 x 11 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 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 3216 and 4204 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(232,20) = HCF(252,232) = HCF(988,252) = HCF(3216,988) = HCF(4204,3216) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 72672 > 4, we apply the division lemma to 72672 and 4, to get
72672 = 4 x 18168 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 72672 is 4
Notice that 4 = HCF(72672,4) .
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Frequently Asked Questions on HCF of 3216, 4204, 72672 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 3216, 4204, 72672?
Answer: HCF of 3216, 4204, 72672 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3216, 4204, 72672 using Euclid's Algorithm?
Answer: For arbitrary numbers 3216, 4204, 72672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.