Highest Common Factor of 4089, 5595 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 4089, 5595 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4089, 5595 is 3 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 4089, 5595 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 4089, 5595 is 3.
HCF(4089, 5595) = 3
HCF of 4089, 5595 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4089, 5595 is 3.
Highest Common Factor of 4089,5595 is 3
Step 1: Since 5595 > 4089, we apply the division lemma to 5595 and 4089, to get
5595 = 4089 x 1 + 1506
Step 2: Since the reminder 4089 ≠ 0, we apply division lemma to 1506 and 4089, to get
4089 = 1506 x 2 + 1077
Step 3: We consider the new divisor 1506 and the new remainder 1077, and apply the division lemma to get
1506 = 1077 x 1 + 429
We consider the new divisor 1077 and the new remainder 429,and apply the division lemma to get
1077 = 429 x 2 + 219
We consider the new divisor 429 and the new remainder 219,and apply the division lemma to get
429 = 219 x 1 + 210
We consider the new divisor 219 and the new remainder 210,and apply the division lemma to get
219 = 210 x 1 + 9
We consider the new divisor 210 and the new remainder 9,and apply the division lemma to get
210 = 9 x 23 + 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 4089 and 5595 is 3
Notice that 3 = HCF(9,3) = HCF(210,9) = HCF(219,210) = HCF(429,219) = HCF(1077,429) = HCF(1506,1077) = HCF(4089,1506) = HCF(5595,4089) .
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Frequently Asked Questions on HCF of 4089, 5595 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 4089, 5595?
Answer: HCF of 4089, 5595 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4089, 5595 using Euclid's Algorithm?
Answer: For arbitrary numbers 4089, 5595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
