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 861, 55579 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 861, 55579 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 861, 55579 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 861, 55579 is 1.
HCF(861, 55579) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 861, 55579 is 1.
Step 1: Since 55579 > 861, we apply the division lemma to 55579 and 861, to get
55579 = 861 x 64 + 475
Step 2: Since the reminder 861 ≠ 0, we apply division lemma to 475 and 861, to get
861 = 475 x 1 + 386
Step 3: We consider the new divisor 475 and the new remainder 386, and apply the division lemma to get
475 = 386 x 1 + 89
We consider the new divisor 386 and the new remainder 89,and apply the division lemma to get
386 = 89 x 4 + 30
We consider the new divisor 89 and the new remainder 30,and apply the division lemma to get
89 = 30 x 2 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 861 and 55579 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(89,30) = HCF(386,89) = HCF(475,386) = HCF(861,475) = HCF(55579,861) .
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 861, 55579?
Answer: HCF of 861, 55579 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 861, 55579 using Euclid's Algorithm?
Answer: For arbitrary numbers 861, 55579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.