Highest Common Factor of 4365, 579 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 4365, 579 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4365, 579 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 4365, 579 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 4365, 579 is 3.
HCF(4365, 579) = 3
HCF of 4365, 579 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4365, 579 is 3.
Highest Common Factor of 4365,579 is 3
Step 1: Since 4365 > 579, we apply the division lemma to 4365 and 579, to get
4365 = 579 x 7 + 312
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 312 and 579, to get
579 = 312 x 1 + 267
Step 3: We consider the new divisor 312 and the new remainder 267, and apply the division lemma to get
312 = 267 x 1 + 45
We consider the new divisor 267 and the new remainder 45,and apply the division lemma to get
267 = 45 x 5 + 42
We consider the new divisor 45 and the new remainder 42,and apply the division lemma to get
45 = 42 x 1 + 3
We consider the new divisor 42 and the new remainder 3,and apply the division lemma to get
42 = 3 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4365 and 579 is 3
Notice that 3 = HCF(42,3) = HCF(45,42) = HCF(267,45) = HCF(312,267) = HCF(579,312) = HCF(4365,579) .
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Frequently Asked Questions on HCF of 4365, 579 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 4365, 579?
Answer: HCF of 4365, 579 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4365, 579 using Euclid's Algorithm?
Answer: For arbitrary numbers 4365, 579 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.