Highest Common Factor of 618, 4062, 8580 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 618, 4062, 8580 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 618, 4062, 8580 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 618, 4062, 8580 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 618, 4062, 8580 is 6.
HCF(618, 4062, 8580) = 6
HCF of 618, 4062, 8580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 618, 4062, 8580 is 6.
Highest Common Factor of 618,4062,8580 is 6
Step 1: Since 4062 > 618, we apply the division lemma to 4062 and 618, to get
4062 = 618 x 6 + 354
Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 354 and 618, to get
618 = 354 x 1 + 264
Step 3: We consider the new divisor 354 and the new remainder 264, and apply the division lemma to get
354 = 264 x 1 + 90
We consider the new divisor 264 and the new remainder 90,and apply the division lemma to get
264 = 90 x 2 + 84
We consider the new divisor 90 and the new remainder 84,and apply the division lemma to get
90 = 84 x 1 + 6
We consider the new divisor 84 and the new remainder 6,and apply the division lemma to get
84 = 6 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 618 and 4062 is 6
Notice that 6 = HCF(84,6) = HCF(90,84) = HCF(264,90) = HCF(354,264) = HCF(618,354) = HCF(4062,618) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8580 > 6, we apply the division lemma to 8580 and 6, to get
8580 = 6 x 1430 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 6 and 8580 is 6
Notice that 6 = HCF(8580,6) .
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Frequently Asked Questions on HCF of 618, 4062, 8580 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 618, 4062, 8580?
Answer: HCF of 618, 4062, 8580 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 618, 4062, 8580 using Euclid's Algorithm?
Answer: For arbitrary numbers 618, 4062, 8580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.