Highest Common Factor of 4787, 6424 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 4787, 6424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4787, 6424 is 1 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 4787, 6424 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 4787, 6424 is 1.
HCF(4787, 6424) = 1
HCF of 4787, 6424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4787, 6424 is 1.
Highest Common Factor of 4787,6424 is 1
Step 1: Since 6424 > 4787, we apply the division lemma to 6424 and 4787, to get
6424 = 4787 x 1 + 1637
Step 2: Since the reminder 4787 ≠ 0, we apply division lemma to 1637 and 4787, to get
4787 = 1637 x 2 + 1513
Step 3: We consider the new divisor 1637 and the new remainder 1513, and apply the division lemma to get
1637 = 1513 x 1 + 124
We consider the new divisor 1513 and the new remainder 124,and apply the division lemma to get
1513 = 124 x 12 + 25
We consider the new divisor 124 and the new remainder 25,and apply the division lemma to get
124 = 25 x 4 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4787 and 6424 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(124,25) = HCF(1513,124) = HCF(1637,1513) = HCF(4787,1637) = HCF(6424,4787) .
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Frequently Asked Questions on HCF of 4787, 6424 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 4787, 6424?
Answer: HCF of 4787, 6424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4787, 6424 using Euclid's Algorithm?
Answer: For arbitrary numbers 4787, 6424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.