Highest Common Factor of 6178, 1659 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 6178, 1659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6178, 1659 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 6178, 1659 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 6178, 1659 is 1.
HCF(6178, 1659) = 1
HCF of 6178, 1659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6178, 1659 is 1.
Highest Common Factor of 6178,1659 is 1
Step 1: Since 6178 > 1659, we apply the division lemma to 6178 and 1659, to get
6178 = 1659 x 3 + 1201
Step 2: Since the reminder 1659 ≠ 0, we apply division lemma to 1201 and 1659, to get
1659 = 1201 x 1 + 458
Step 3: We consider the new divisor 1201 and the new remainder 458, and apply the division lemma to get
1201 = 458 x 2 + 285
We consider the new divisor 458 and the new remainder 285,and apply the division lemma to get
458 = 285 x 1 + 173
We consider the new divisor 285 and the new remainder 173,and apply the division lemma to get
285 = 173 x 1 + 112
We consider the new divisor 173 and the new remainder 112,and apply the division lemma to get
173 = 112 x 1 + 61
We consider the new divisor 112 and the new remainder 61,and apply the division lemma to get
112 = 61 x 1 + 51
We consider the new divisor 61 and the new remainder 51,and apply the division lemma to get
61 = 51 x 1 + 10
We consider the new divisor 51 and the new remainder 10,and apply the division lemma to get
51 = 10 x 5 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6178 and 1659 is 1
Notice that 1 = HCF(10,1) = HCF(51,10) = HCF(61,51) = HCF(112,61) = HCF(173,112) = HCF(285,173) = HCF(458,285) = HCF(1201,458) = HCF(1659,1201) = HCF(6178,1659) .
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Frequently Asked Questions on HCF of 6178, 1659 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 6178, 1659?
Answer: HCF of 6178, 1659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6178, 1659 using Euclid's Algorithm?
Answer: For arbitrary numbers 6178, 1659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
