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 8717, 7082 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8717, 7082 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 8717, 7082 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 8717, 7082 is 1.
HCF(8717, 7082) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8717, 7082 is 1.
Step 1: Since 8717 > 7082, we apply the division lemma to 8717 and 7082, to get
8717 = 7082 x 1 + 1635
Step 2: Since the reminder 7082 ≠ 0, we apply division lemma to 1635 and 7082, to get
7082 = 1635 x 4 + 542
Step 3: We consider the new divisor 1635 and the new remainder 542, and apply the division lemma to get
1635 = 542 x 3 + 9
We consider the new divisor 542 and the new remainder 9,and apply the division lemma to get
542 = 9 x 60 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 8717 and 7082 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(542,9) = HCF(1635,542) = HCF(7082,1635) = HCF(8717,7082) .
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 8717, 7082?
Answer: HCF of 8717, 7082 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8717, 7082 using Euclid's Algorithm?
Answer: For arbitrary numbers 8717, 7082 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.