Highest Common Factor of 4751, 5821 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 4751, 5821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4751, 5821 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 4751, 5821 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 4751, 5821 is 1.
HCF(4751, 5821) = 1
HCF of 4751, 5821 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4751, 5821 is 1.
Highest Common Factor of 4751,5821 is 1
Step 1: Since 5821 > 4751, we apply the division lemma to 5821 and 4751, to get
5821 = 4751 x 1 + 1070
Step 2: Since the reminder 4751 ≠ 0, we apply division lemma to 1070 and 4751, to get
4751 = 1070 x 4 + 471
Step 3: We consider the new divisor 1070 and the new remainder 471, and apply the division lemma to get
1070 = 471 x 2 + 128
We consider the new divisor 471 and the new remainder 128,and apply the division lemma to get
471 = 128 x 3 + 87
We consider the new divisor 128 and the new remainder 87,and apply the division lemma to get
128 = 87 x 1 + 41
We consider the new divisor 87 and the new remainder 41,and apply the division lemma to get
87 = 41 x 2 + 5
We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get
41 = 5 x 8 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4751 and 5821 is 1
Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(87,41) = HCF(128,87) = HCF(471,128) = HCF(1070,471) = HCF(4751,1070) = HCF(5821,4751) .
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Frequently Asked Questions on HCF of 4751, 5821 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 4751, 5821?
Answer: HCF of 4751, 5821 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4751, 5821 using Euclid's Algorithm?
Answer: For arbitrary numbers 4751, 5821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.