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 7543, 6906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7543, 6906 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 7543, 6906 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 7543, 6906 is 1.
HCF(7543, 6906) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7543, 6906 is 1.
Step 1: Since 7543 > 6906, we apply the division lemma to 7543 and 6906, to get
7543 = 6906 x 1 + 637
Step 2: Since the reminder 6906 ≠ 0, we apply division lemma to 637 and 6906, to get
6906 = 637 x 10 + 536
Step 3: We consider the new divisor 637 and the new remainder 536, and apply the division lemma to get
637 = 536 x 1 + 101
We consider the new divisor 536 and the new remainder 101,and apply the division lemma to get
536 = 101 x 5 + 31
We consider the new divisor 101 and the new remainder 31,and apply the division lemma to get
101 = 31 x 3 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7543 and 6906 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(101,31) = HCF(536,101) = HCF(637,536) = HCF(6906,637) = HCF(7543,6906) .
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 7543, 6906?
Answer: HCF of 7543, 6906 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7543, 6906 using Euclid's Algorithm?
Answer: For arbitrary numbers 7543, 6906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.