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 703, 4706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 4706 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 703, 4706 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 703, 4706 is 1.
HCF(703, 4706) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 4706 is 1.
Step 1: Since 4706 > 703, we apply the division lemma to 4706 and 703, to get
4706 = 703 x 6 + 488
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 488 and 703, to get
703 = 488 x 1 + 215
Step 3: We consider the new divisor 488 and the new remainder 215, and apply the division lemma to get
488 = 215 x 2 + 58
We consider the new divisor 215 and the new remainder 58,and apply the division lemma to get
215 = 58 x 3 + 41
We consider the new divisor 58 and the new remainder 41,and apply the division lemma to get
58 = 41 x 1 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 703 and 4706 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(58,41) = HCF(215,58) = HCF(488,215) = HCF(703,488) = HCF(4706,703) .
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 703, 4706?
Answer: HCF of 703, 4706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 4706 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 4706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.