Highest Common Factor of 8402, 4751 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 8402, 4751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8402, 4751 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 8402, 4751 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 8402, 4751 is 1.
HCF(8402, 4751) = 1
HCF of 8402, 4751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8402, 4751 is 1.
Highest Common Factor of 8402,4751 is 1
Step 1: Since 8402 > 4751, we apply the division lemma to 8402 and 4751, to get
8402 = 4751 x 1 + 3651
Step 2: Since the reminder 4751 ≠ 0, we apply division lemma to 3651 and 4751, to get
4751 = 3651 x 1 + 1100
Step 3: We consider the new divisor 3651 and the new remainder 1100, and apply the division lemma to get
3651 = 1100 x 3 + 351
We consider the new divisor 1100 and the new remainder 351,and apply the division lemma to get
1100 = 351 x 3 + 47
We consider the new divisor 351 and the new remainder 47,and apply the division lemma to get
351 = 47 x 7 + 22
We consider the new divisor 47 and the new remainder 22,and apply the division lemma to get
47 = 22 x 2 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8402 and 4751 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(47,22) = HCF(351,47) = HCF(1100,351) = HCF(3651,1100) = HCF(4751,3651) = HCF(8402,4751) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8402, 4751 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 8402, 4751?
Answer: HCF of 8402, 4751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8402, 4751 using Euclid's Algorithm?
Answer: For arbitrary numbers 8402, 4751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.