Highest Common Factor of 4819, 7462 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 4819, 7462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4819, 7462 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 4819, 7462 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 4819, 7462 is 1.
HCF(4819, 7462) = 1
HCF of 4819, 7462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4819, 7462 is 1.
Highest Common Factor of 4819,7462 is 1
Step 1: Since 7462 > 4819, we apply the division lemma to 7462 and 4819, to get
7462 = 4819 x 1 + 2643
Step 2: Since the reminder 4819 ≠ 0, we apply division lemma to 2643 and 4819, to get
4819 = 2643 x 1 + 2176
Step 3: We consider the new divisor 2643 and the new remainder 2176, and apply the division lemma to get
2643 = 2176 x 1 + 467
We consider the new divisor 2176 and the new remainder 467,and apply the division lemma to get
2176 = 467 x 4 + 308
We consider the new divisor 467 and the new remainder 308,and apply the division lemma to get
467 = 308 x 1 + 159
We consider the new divisor 308 and the new remainder 159,and apply the division lemma to get
308 = 159 x 1 + 149
We consider the new divisor 159 and the new remainder 149,and apply the division lemma to get
159 = 149 x 1 + 10
We consider the new divisor 149 and the new remainder 10,and apply the division lemma to get
149 = 10 x 14 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4819 and 7462 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(149,10) = HCF(159,149) = HCF(308,159) = HCF(467,308) = HCF(2176,467) = HCF(2643,2176) = HCF(4819,2643) = HCF(7462,4819) .
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Frequently Asked Questions on HCF of 4819, 7462 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 4819, 7462?
Answer: HCF of 4819, 7462 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4819, 7462 using Euclid's Algorithm?
Answer: For arbitrary numbers 4819, 7462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.