Highest Common Factor of 5489, 7652 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 5489, 7652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5489, 7652 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 5489, 7652 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 5489, 7652 is 1.
HCF(5489, 7652) = 1
HCF of 5489, 7652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5489, 7652 is 1.
Highest Common Factor of 5489,7652 is 1
Step 1: Since 7652 > 5489, we apply the division lemma to 7652 and 5489, to get
7652 = 5489 x 1 + 2163
Step 2: Since the reminder 5489 ≠ 0, we apply division lemma to 2163 and 5489, to get
5489 = 2163 x 2 + 1163
Step 3: We consider the new divisor 2163 and the new remainder 1163, and apply the division lemma to get
2163 = 1163 x 1 + 1000
We consider the new divisor 1163 and the new remainder 1000,and apply the division lemma to get
1163 = 1000 x 1 + 163
We consider the new divisor 1000 and the new remainder 163,and apply the division lemma to get
1000 = 163 x 6 + 22
We consider the new divisor 163 and the new remainder 22,and apply the division lemma to get
163 = 22 x 7 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5489 and 7652 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(163,22) = HCF(1000,163) = HCF(1163,1000) = HCF(2163,1163) = HCF(5489,2163) = HCF(7652,5489) .
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Frequently Asked Questions on HCF of 5489, 7652 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 5489, 7652?
Answer: HCF of 5489, 7652 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5489, 7652 using Euclid's Algorithm?
Answer: For arbitrary numbers 5489, 7652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
