Highest Common Factor of 3732, 4629 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 3732, 4629 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3732, 4629 is 3 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 3732, 4629 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 3732, 4629 is 3.
HCF(3732, 4629) = 3
HCF of 3732, 4629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3732, 4629 is 3.
Highest Common Factor of 3732,4629 is 3
Step 1: Since 4629 > 3732, we apply the division lemma to 4629 and 3732, to get
4629 = 3732 x 1 + 897
Step 2: Since the reminder 3732 ≠ 0, we apply division lemma to 897 and 3732, to get
3732 = 897 x 4 + 144
Step 3: We consider the new divisor 897 and the new remainder 144, and apply the division lemma to get
897 = 144 x 6 + 33
We consider the new divisor 144 and the new remainder 33,and apply the division lemma to get
144 = 33 x 4 + 12
We consider the new divisor 33 and the new remainder 12,and apply the division lemma to get
33 = 12 x 2 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3732 and 4629 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(33,12) = HCF(144,33) = HCF(897,144) = HCF(3732,897) = HCF(4629,3732) .
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Frequently Asked Questions on HCF of 3732, 4629 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 3732, 4629?
Answer: HCF of 3732, 4629 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3732, 4629 using Euclid's Algorithm?
Answer: For arbitrary numbers 3732, 4629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.