Highest Common Factor of 486, 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 486, 6154 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 486, 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 486, 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 486, 6154 is 2.
HCF(486, 6154) = 2
HCF of 486, 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 486, 6154 is 2.
Highest Common Factor of 486,6154 is 2
Step 1: Since 6154 > 486, we apply the division lemma to 6154 and 486, to get
6154 = 486 x 12 + 322
Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 322 and 486, to get
486 = 322 x 1 + 164
Step 3: We consider the new divisor 322 and the new remainder 164, and apply the division lemma to get
322 = 164 x 1 + 158
We consider the new divisor 164 and the new remainder 158,and apply the division lemma to get
164 = 158 x 1 + 6
We consider the new divisor 158 and the new remainder 6,and apply the division lemma to get
158 = 6 x 26 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 486 and 6154 is 2
Notice that 2 = HCF(6,2) = HCF(158,6) = HCF(164,158) = HCF(322,164) = HCF(486,322) = HCF(6154,486) .
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Frequently Asked Questions on HCF of 486, 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 486, 6154?
Answer: HCF of 486, 6154 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 486, 6154 using Euclid's Algorithm?
Answer: For arbitrary numbers 486, 6154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.