Highest Common Factor of 4164, 8118 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 4164, 8118 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4164, 8118 is 6 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 4164, 8118 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 4164, 8118 is 6.
HCF(4164, 8118) = 6
HCF of 4164, 8118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4164, 8118 is 6.
Highest Common Factor of 4164,8118 is 6
Step 1: Since 8118 > 4164, we apply the division lemma to 8118 and 4164, to get
8118 = 4164 x 1 + 3954
Step 2: Since the reminder 4164 ≠ 0, we apply division lemma to 3954 and 4164, to get
4164 = 3954 x 1 + 210
Step 3: We consider the new divisor 3954 and the new remainder 210, and apply the division lemma to get
3954 = 210 x 18 + 174
We consider the new divisor 210 and the new remainder 174,and apply the division lemma to get
210 = 174 x 1 + 36
We consider the new divisor 174 and the new remainder 36,and apply the division lemma to get
174 = 36 x 4 + 30
We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get
36 = 30 x 1 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4164 and 8118 is 6
Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(174,36) = HCF(210,174) = HCF(3954,210) = HCF(4164,3954) = HCF(8118,4164) .
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Frequently Asked Questions on HCF of 4164, 8118 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 4164, 8118?
Answer: HCF of 4164, 8118 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4164, 8118 using Euclid's Algorithm?
Answer: For arbitrary numbers 4164, 8118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.