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 4706, 5981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4706, 5981 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 4706, 5981 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 4706, 5981 is 1.
HCF(4706, 5981) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4706, 5981 is 1.
Step 1: Since 5981 > 4706, we apply the division lemma to 5981 and 4706, to get
5981 = 4706 x 1 + 1275
Step 2: Since the reminder 4706 ≠ 0, we apply division lemma to 1275 and 4706, to get
4706 = 1275 x 3 + 881
Step 3: We consider the new divisor 1275 and the new remainder 881, and apply the division lemma to get
1275 = 881 x 1 + 394
We consider the new divisor 881 and the new remainder 394,and apply the division lemma to get
881 = 394 x 2 + 93
We consider the new divisor 394 and the new remainder 93,and apply the division lemma to get
394 = 93 x 4 + 22
We consider the new divisor 93 and the new remainder 22,and apply the division lemma to get
93 = 22 x 4 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4706 and 5981 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(93,22) = HCF(394,93) = HCF(881,394) = HCF(1275,881) = HCF(4706,1275) = HCF(5981,4706) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4706, 5981?
Answer: HCF of 4706, 5981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4706, 5981 using Euclid's Algorithm?
Answer: For arbitrary numbers 4706, 5981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.