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 686, 69544 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 686, 69544 is 2 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 686, 69544 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 686, 69544 is 2.
HCF(686, 69544) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 686, 69544 is 2.
Step 1: Since 69544 > 686, we apply the division lemma to 69544 and 686, to get
69544 = 686 x 101 + 258
Step 2: Since the reminder 686 ≠ 0, we apply division lemma to 258 and 686, to get
686 = 258 x 2 + 170
Step 3: We consider the new divisor 258 and the new remainder 170, and apply the division lemma to get
258 = 170 x 1 + 88
We consider the new divisor 170 and the new remainder 88,and apply the division lemma to get
170 = 88 x 1 + 82
We consider the new divisor 88 and the new remainder 82,and apply the division lemma to get
88 = 82 x 1 + 6
We consider the new divisor 82 and the new remainder 6,and apply the division lemma to get
82 = 6 x 13 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 686 and 69544 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(82,6) = HCF(88,82) = HCF(170,88) = HCF(258,170) = HCF(686,258) = HCF(69544,686) .
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 686, 69544?
Answer: HCF of 686, 69544 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 686, 69544 using Euclid's Algorithm?
Answer: For arbitrary numbers 686, 69544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.