Highest Common Factor of 462, 4207 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 462, 4207 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 462, 4207 is 7 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 462, 4207 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 462, 4207 is 7.
HCF(462, 4207) = 7
HCF of 462, 4207 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 462, 4207 is 7.
Highest Common Factor of 462,4207 is 7
Step 1: Since 4207 > 462, we apply the division lemma to 4207 and 462, to get
4207 = 462 x 9 + 49
Step 2: Since the reminder 462 ≠ 0, we apply division lemma to 49 and 462, to get
462 = 49 x 9 + 21
Step 3: We consider the new divisor 49 and the new remainder 21, and apply the division lemma to get
49 = 21 x 2 + 7
We consider the new divisor 21 and the new remainder 7, and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 462 and 4207 is 7
Notice that 7 = HCF(21,7) = HCF(49,21) = HCF(462,49) = HCF(4207,462) .
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Frequently Asked Questions on HCF of 462, 4207 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 462, 4207?
Answer: HCF of 462, 4207 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 462, 4207 using Euclid's Algorithm?
Answer: For arbitrary numbers 462, 4207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.