Highest Common Factor of 4614, 1692 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 4614, 1692 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4614, 1692 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 4614, 1692 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 4614, 1692 is 6.
HCF(4614, 1692) = 6
HCF of 4614, 1692 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4614, 1692 is 6.
Highest Common Factor of 4614,1692 is 6
Step 1: Since 4614 > 1692, we apply the division lemma to 4614 and 1692, to get
4614 = 1692 x 2 + 1230
Step 2: Since the reminder 1692 ≠ 0, we apply division lemma to 1230 and 1692, to get
1692 = 1230 x 1 + 462
Step 3: We consider the new divisor 1230 and the new remainder 462, and apply the division lemma to get
1230 = 462 x 2 + 306
We consider the new divisor 462 and the new remainder 306,and apply the division lemma to get
462 = 306 x 1 + 156
We consider the new divisor 306 and the new remainder 156,and apply the division lemma to get
306 = 156 x 1 + 150
We consider the new divisor 156 and the new remainder 150,and apply the division lemma to get
156 = 150 x 1 + 6
We consider the new divisor 150 and the new remainder 6,and apply the division lemma to get
150 = 6 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4614 and 1692 is 6
Notice that 6 = HCF(150,6) = HCF(156,150) = HCF(306,156) = HCF(462,306) = HCF(1230,462) = HCF(1692,1230) = HCF(4614,1692) .
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Frequently Asked Questions on HCF of 4614, 1692 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 4614, 1692?
Answer: HCF of 4614, 1692 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4614, 1692 using Euclid's Algorithm?
Answer: For arbitrary numbers 4614, 1692 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.