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 4864, 6703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4864, 6703 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 4864, 6703 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 4864, 6703 is 1.
HCF(4864, 6703) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4864, 6703 is 1.
Step 1: Since 6703 > 4864, we apply the division lemma to 6703 and 4864, to get
6703 = 4864 x 1 + 1839
Step 2: Since the reminder 4864 ≠ 0, we apply division lemma to 1839 and 4864, to get
4864 = 1839 x 2 + 1186
Step 3: We consider the new divisor 1839 and the new remainder 1186, and apply the division lemma to get
1839 = 1186 x 1 + 653
We consider the new divisor 1186 and the new remainder 653,and apply the division lemma to get
1186 = 653 x 1 + 533
We consider the new divisor 653 and the new remainder 533,and apply the division lemma to get
653 = 533 x 1 + 120
We consider the new divisor 533 and the new remainder 120,and apply the division lemma to get
533 = 120 x 4 + 53
We consider the new divisor 120 and the new remainder 53,and apply the division lemma to get
120 = 53 x 2 + 14
We consider the new divisor 53 and the new remainder 14,and apply the division lemma to get
53 = 14 x 3 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 4864 and 6703 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(53,14) = HCF(120,53) = HCF(533,120) = HCF(653,533) = HCF(1186,653) = HCF(1839,1186) = HCF(4864,1839) = HCF(6703,4864) .
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 4864, 6703?
Answer: HCF of 4864, 6703 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4864, 6703 using Euclid's Algorithm?
Answer: For arbitrary numbers 4864, 6703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.