Highest Common Factor of 5594, 5069 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 5594, 5069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5594, 5069 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 5594, 5069 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 5594, 5069 is 1.
HCF(5594, 5069) = 1
HCF of 5594, 5069 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5594, 5069 is 1.
Highest Common Factor of 5594,5069 is 1
Step 1: Since 5594 > 5069, we apply the division lemma to 5594 and 5069, to get
5594 = 5069 x 1 + 525
Step 2: Since the reminder 5069 ≠ 0, we apply division lemma to 525 and 5069, to get
5069 = 525 x 9 + 344
Step 3: We consider the new divisor 525 and the new remainder 344, and apply the division lemma to get
525 = 344 x 1 + 181
We consider the new divisor 344 and the new remainder 181,and apply the division lemma to get
344 = 181 x 1 + 163
We consider the new divisor 181 and the new remainder 163,and apply the division lemma to get
181 = 163 x 1 + 18
We consider the new divisor 163 and the new remainder 18,and apply the division lemma to get
163 = 18 x 9 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5594 and 5069 is 1
Notice that 1 = HCF(18,1) = HCF(163,18) = HCF(181,163) = HCF(344,181) = HCF(525,344) = HCF(5069,525) = HCF(5594,5069) .
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Frequently Asked Questions on HCF of 5594, 5069 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 5594, 5069?
Answer: HCF of 5594, 5069 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5594, 5069 using Euclid's Algorithm?
Answer: For arbitrary numbers 5594, 5069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.