Highest Common Factor of 618, 6013, 8747 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, 6013, 8747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 618, 6013, 8747 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 618, 6013, 8747 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, 6013, 8747 is 1.
HCF(618, 6013, 8747) = 1
HCF of 618, 6013, 8747 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, 6013, 8747 is 1.
Highest Common Factor of 618,6013,8747 is 1
Step 1: Since 6013 > 618, we apply the division lemma to 6013 and 618, to get
6013 = 618 x 9 + 451
Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 451 and 618, to get
618 = 451 x 1 + 167
Step 3: We consider the new divisor 451 and the new remainder 167, and apply the division lemma to get
451 = 167 x 2 + 117
We consider the new divisor 167 and the new remainder 117,and apply the division lemma to get
167 = 117 x 1 + 50
We consider the new divisor 117 and the new remainder 50,and apply the division lemma to get
117 = 50 x 2 + 17
We consider the new divisor 50 and the new remainder 17,and apply the division lemma to get
50 = 17 x 2 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 618 and 6013 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(50,17) = HCF(117,50) = HCF(167,117) = HCF(451,167) = HCF(618,451) = HCF(6013,618) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8747 > 1, we apply the division lemma to 8747 and 1, to get
8747 = 1 x 8747 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8747 is 1
Notice that 1 = HCF(8747,1) .
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Frequently Asked Questions on HCF of 618, 6013, 8747 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, 6013, 8747?
Answer: HCF of 618, 6013, 8747 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 618, 6013, 8747 using Euclid's Algorithm?
Answer: For arbitrary numbers 618, 6013, 8747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.