Highest Common Factor of 861, 632, 56 using Euclid's algorithm
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, 632, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 861, 632, 56 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, 632, 56 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, 632, 56 is 1.
HCF(861, 632, 56) = 1
HCF of 861, 632, 56 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 861, 632, 56 is 1.
Highest Common Factor of 861,632,56 is 1
Step 1: Since 861 > 632, we apply the division lemma to 861 and 632, to get
861 = 632 x 1 + 229
Step 2: Since the reminder 632 ≠ 0, we apply division lemma to 229 and 632, to get
632 = 229 x 2 + 174
Step 3: We consider the new divisor 229 and the new remainder 174, and apply the division lemma to get
229 = 174 x 1 + 55
We consider the new divisor 174 and the new remainder 55,and apply the division lemma to get
174 = 55 x 3 + 9
We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get
55 = 9 x 6 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 861 and 632 is 1
Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(174,55) = HCF(229,174) = HCF(632,229) = HCF(861,632) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1
Notice that 1 = HCF(56,1) .
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Frequently Asked Questions on HCF of 861, 632, 56 using Euclid's Algorithm
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, 632, 56?
Answer: HCF of 861, 632, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 861, 632, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 861, 632, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.