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, 6894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 6894 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, 6894 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, 6894 is 1.
HCF(703, 6894) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 6894 is 1.
Step 1: Since 6894 > 703, we apply the division lemma to 6894 and 703, to get
6894 = 703 x 9 + 567
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 567 and 703, to get
703 = 567 x 1 + 136
Step 3: We consider the new divisor 567 and the new remainder 136, and apply the division lemma to get
567 = 136 x 4 + 23
We consider the new divisor 136 and the new remainder 23,and apply the division lemma to get
136 = 23 x 5 + 21
We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get
23 = 21 x 1 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 703 and 6894 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(136,23) = HCF(567,136) = HCF(703,567) = HCF(6894,703) .
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, 6894?
Answer: HCF of 703, 6894 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 6894 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 6894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.