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 627, 68861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 627, 68861 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 627, 68861 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 627, 68861 is 1.
HCF(627, 68861) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 627, 68861 is 1.
Step 1: Since 68861 > 627, we apply the division lemma to 68861 and 627, to get
68861 = 627 x 109 + 518
Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 518 and 627, to get
627 = 518 x 1 + 109
Step 3: We consider the new divisor 518 and the new remainder 109, and apply the division lemma to get
518 = 109 x 4 + 82
We consider the new divisor 109 and the new remainder 82,and apply the division lemma to get
109 = 82 x 1 + 27
We consider the new divisor 82 and the new remainder 27,and apply the division lemma to get
82 = 27 x 3 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 627 and 68861 is 1
Notice that 1 = HCF(27,1) = HCF(82,27) = HCF(109,82) = HCF(518,109) = HCF(627,518) = HCF(68861,627) .
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 627, 68861?
Answer: HCF of 627, 68861 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 627, 68861 using Euclid's Algorithm?
Answer: For arbitrary numbers 627, 68861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.