Highest Common Factor of 4166, 6154 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 4166, 6154 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4166, 6154 is 2 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 4166, 6154 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 4166, 6154 is 2.
HCF(4166, 6154) = 2
HCF of 4166, 6154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4166, 6154 is 2.
Highest Common Factor of 4166,6154 is 2
Step 1: Since 6154 > 4166, we apply the division lemma to 6154 and 4166, to get
6154 = 4166 x 1 + 1988
Step 2: Since the reminder 4166 ≠ 0, we apply division lemma to 1988 and 4166, to get
4166 = 1988 x 2 + 190
Step 3: We consider the new divisor 1988 and the new remainder 190, and apply the division lemma to get
1988 = 190 x 10 + 88
We consider the new divisor 190 and the new remainder 88,and apply the division lemma to get
190 = 88 x 2 + 14
We consider the new divisor 88 and the new remainder 14,and apply the division lemma to get
88 = 14 x 6 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4166 and 6154 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(88,14) = HCF(190,88) = HCF(1988,190) = HCF(4166,1988) = HCF(6154,4166) .
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Frequently Asked Questions on HCF of 4166, 6154 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 4166, 6154?
Answer: HCF of 4166, 6154 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4166, 6154 using Euclid's Algorithm?
Answer: For arbitrary numbers 4166, 6154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
