Highest Common Factor of 786, 4885 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 786, 4885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 786, 4885 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 786, 4885 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 786, 4885 is 1.
HCF(786, 4885) = 1
HCF of 786, 4885 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 786, 4885 is 1.
Highest Common Factor of 786,4885 is 1
Step 1: Since 4885 > 786, we apply the division lemma to 4885 and 786, to get
4885 = 786 x 6 + 169
Step 2: Since the reminder 786 ≠ 0, we apply division lemma to 169 and 786, to get
786 = 169 x 4 + 110
Step 3: We consider the new divisor 169 and the new remainder 110, and apply the division lemma to get
169 = 110 x 1 + 59
We consider the new divisor 110 and the new remainder 59,and apply the division lemma to get
110 = 59 x 1 + 51
We consider the new divisor 59 and the new remainder 51,and apply the division lemma to get
59 = 51 x 1 + 8
We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get
51 = 8 x 6 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 786 and 4885 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(59,51) = HCF(110,59) = HCF(169,110) = HCF(786,169) = HCF(4885,786) .
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Frequently Asked Questions on HCF of 786, 4885 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 786, 4885?
Answer: HCF of 786, 4885 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 786, 4885 using Euclid's Algorithm?
Answer: For arbitrary numbers 786, 4885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.