Highest Common Factor of 4662, 7427 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 4662, 7427 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4662, 7427 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 4662, 7427 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 4662, 7427 is 7.
HCF(4662, 7427) = 7
HCF of 4662, 7427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4662, 7427 is 7.
Highest Common Factor of 4662,7427 is 7
Step 1: Since 7427 > 4662, we apply the division lemma to 7427 and 4662, to get
7427 = 4662 x 1 + 2765
Step 2: Since the reminder 4662 ≠ 0, we apply division lemma to 2765 and 4662, to get
4662 = 2765 x 1 + 1897
Step 3: We consider the new divisor 2765 and the new remainder 1897, and apply the division lemma to get
2765 = 1897 x 1 + 868
We consider the new divisor 1897 and the new remainder 868,and apply the division lemma to get
1897 = 868 x 2 + 161
We consider the new divisor 868 and the new remainder 161,and apply the division lemma to get
868 = 161 x 5 + 63
We consider the new divisor 161 and the new remainder 63,and apply the division lemma to get
161 = 63 x 2 + 35
We consider the new divisor 63 and the new remainder 35,and apply the division lemma to get
63 = 35 x 1 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4662 and 7427 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(63,35) = HCF(161,63) = HCF(868,161) = HCF(1897,868) = HCF(2765,1897) = HCF(4662,2765) = HCF(7427,4662) .
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Frequently Asked Questions on HCF of 4662, 7427 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 4662, 7427?
Answer: HCF of 4662, 7427 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4662, 7427 using Euclid's Algorithm?
Answer: For arbitrary numbers 4662, 7427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.