Highest Common Factor of 9989, 3529, 52084 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 9989, 3529, 52084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9989, 3529, 52084 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 9989, 3529, 52084 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 9989, 3529, 52084 is 1.
HCF(9989, 3529, 52084) = 1
HCF of 9989, 3529, 52084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9989, 3529, 52084 is 1.
Highest Common Factor of 9989,3529,52084 is 1
Step 1: Since 9989 > 3529, we apply the division lemma to 9989 and 3529, to get
9989 = 3529 x 2 + 2931
Step 2: Since the reminder 3529 ≠ 0, we apply division lemma to 2931 and 3529, to get
3529 = 2931 x 1 + 598
Step 3: We consider the new divisor 2931 and the new remainder 598, and apply the division lemma to get
2931 = 598 x 4 + 539
We consider the new divisor 598 and the new remainder 539,and apply the division lemma to get
598 = 539 x 1 + 59
We consider the new divisor 539 and the new remainder 59,and apply the division lemma to get
539 = 59 x 9 + 8
We consider the new divisor 59 and the new remainder 8,and apply the division lemma to get
59 = 8 x 7 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
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 9989 and 3529 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(59,8) = HCF(539,59) = HCF(598,539) = HCF(2931,598) = HCF(3529,2931) = HCF(9989,3529) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52084 > 1, we apply the division lemma to 52084 and 1, to get
52084 = 1 x 52084 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52084 is 1
Notice that 1 = HCF(52084,1) .
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Frequently Asked Questions on HCF of 9989, 3529, 52084 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 9989, 3529, 52084?
Answer: HCF of 9989, 3529, 52084 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9989, 3529, 52084 using Euclid's Algorithm?
Answer: For arbitrary numbers 9989, 3529, 52084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
