Highest Common Factor of 4032, 6906 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 4032, 6906 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4032, 6906 is 6 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 4032, 6906 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 4032, 6906 is 6.
HCF(4032, 6906) = 6
HCF of 4032, 6906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4032, 6906 is 6.
Highest Common Factor of 4032,6906 is 6
Step 1: Since 6906 > 4032, we apply the division lemma to 6906 and 4032, to get
6906 = 4032 x 1 + 2874
Step 2: Since the reminder 4032 ≠ 0, we apply division lemma to 2874 and 4032, to get
4032 = 2874 x 1 + 1158
Step 3: We consider the new divisor 2874 and the new remainder 1158, and apply the division lemma to get
2874 = 1158 x 2 + 558
We consider the new divisor 1158 and the new remainder 558,and apply the division lemma to get
1158 = 558 x 2 + 42
We consider the new divisor 558 and the new remainder 42,and apply the division lemma to get
558 = 42 x 13 + 12
We consider the new divisor 42 and the new remainder 12,and apply the division lemma to get
42 = 12 x 3 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4032 and 6906 is 6
Notice that 6 = HCF(12,6) = HCF(42,12) = HCF(558,42) = HCF(1158,558) = HCF(2874,1158) = HCF(4032,2874) = HCF(6906,4032) .
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Frequently Asked Questions on HCF of 4032, 6906 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 4032, 6906?
Answer: HCF of 4032, 6906 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4032, 6906 using Euclid's Algorithm?
Answer: For arbitrary numbers 4032, 6906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.