Highest Common Factor of 4773, 5989 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 4773, 5989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4773, 5989 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 4773, 5989 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 4773, 5989 is 1.
HCF(4773, 5989) = 1
HCF of 4773, 5989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4773, 5989 is 1.
Highest Common Factor of 4773,5989 is 1
Step 1: Since 5989 > 4773, we apply the division lemma to 5989 and 4773, to get
5989 = 4773 x 1 + 1216
Step 2: Since the reminder 4773 ≠ 0, we apply division lemma to 1216 and 4773, to get
4773 = 1216 x 3 + 1125
Step 3: We consider the new divisor 1216 and the new remainder 1125, and apply the division lemma to get
1216 = 1125 x 1 + 91
We consider the new divisor 1125 and the new remainder 91,and apply the division lemma to get
1125 = 91 x 12 + 33
We consider the new divisor 91 and the new remainder 33,and apply the division lemma to get
91 = 33 x 2 + 25
We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4773 and 5989 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(91,33) = HCF(1125,91) = HCF(1216,1125) = HCF(4773,1216) = HCF(5989,4773) .
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Frequently Asked Questions on HCF of 4773, 5989 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 4773, 5989?
Answer: HCF of 4773, 5989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4773, 5989 using Euclid's Algorithm?
Answer: For arbitrary numbers 4773, 5989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.