Highest Common Factor of 4917, 5598, 60089 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 4917, 5598, 60089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4917, 5598, 60089 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 4917, 5598, 60089 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 4917, 5598, 60089 is 1.
HCF(4917, 5598, 60089) = 1
HCF of 4917, 5598, 60089 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4917, 5598, 60089 is 1.
Highest Common Factor of 4917,5598,60089 is 1
Step 1: Since 5598 > 4917, we apply the division lemma to 5598 and 4917, to get
5598 = 4917 x 1 + 681
Step 2: Since the reminder 4917 ≠ 0, we apply division lemma to 681 and 4917, to get
4917 = 681 x 7 + 150
Step 3: We consider the new divisor 681 and the new remainder 150, and apply the division lemma to get
681 = 150 x 4 + 81
We consider the new divisor 150 and the new remainder 81,and apply the division lemma to get
150 = 81 x 1 + 69
We consider the new divisor 81 and the new remainder 69,and apply the division lemma to get
81 = 69 x 1 + 12
We consider the new divisor 69 and the new remainder 12,and apply the division lemma to get
69 = 12 x 5 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4917 and 5598 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(69,12) = HCF(81,69) = HCF(150,81) = HCF(681,150) = HCF(4917,681) = HCF(5598,4917) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60089 > 3, we apply the division lemma to 60089 and 3, to get
60089 = 3 x 20029 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 60089 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(60089,3) .
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Frequently Asked Questions on HCF of 4917, 5598, 60089 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 4917, 5598, 60089?
Answer: HCF of 4917, 5598, 60089 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4917, 5598, 60089 using Euclid's Algorithm?
Answer: For arbitrary numbers 4917, 5598, 60089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
