Highest Common Factor of 4896, 6817 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 4896, 6817 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 4896, 6817 is 17 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 4896, 6817 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 4896, 6817 is 17.
HCF(4896, 6817) = 17
HCF of 4896, 6817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4896, 6817 is 17.
Highest Common Factor of 4896,6817 is 17
Step 1: Since 6817 > 4896, we apply the division lemma to 6817 and 4896, to get
6817 = 4896 x 1 + 1921
Step 2: Since the reminder 4896 ≠ 0, we apply division lemma to 1921 and 4896, to get
4896 = 1921 x 2 + 1054
Step 3: We consider the new divisor 1921 and the new remainder 1054, and apply the division lemma to get
1921 = 1054 x 1 + 867
We consider the new divisor 1054 and the new remainder 867,and apply the division lemma to get
1054 = 867 x 1 + 187
We consider the new divisor 867 and the new remainder 187,and apply the division lemma to get
867 = 187 x 4 + 119
We consider the new divisor 187 and the new remainder 119,and apply the division lemma to get
187 = 119 x 1 + 68
We consider the new divisor 119 and the new remainder 68,and apply the division lemma to get
119 = 68 x 1 + 51
We consider the new divisor 68 and the new remainder 51,and apply the division lemma to get
68 = 51 x 1 + 17
We consider the new divisor 51 and the new remainder 17,and apply the division lemma to get
51 = 17 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 4896 and 6817 is 17
Notice that 17 = HCF(51,17) = HCF(68,51) = HCF(119,68) = HCF(187,119) = HCF(867,187) = HCF(1054,867) = HCF(1921,1054) = HCF(4896,1921) = HCF(6817,4896) .
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Frequently Asked Questions on HCF of 4896, 6817 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 4896, 6817?
Answer: HCF of 4896, 6817 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4896, 6817 using Euclid's Algorithm?
Answer: For arbitrary numbers 4896, 6817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.