Highest Common Factor of 4205, 739 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 4205, 739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4205, 739 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 4205, 739 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 4205, 739 is 1.
HCF(4205, 739) = 1
HCF of 4205, 739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4205, 739 is 1.
Highest Common Factor of 4205,739 is 1
Step 1: Since 4205 > 739, we apply the division lemma to 4205 and 739, to get
4205 = 739 x 5 + 510
Step 2: Since the reminder 739 ≠ 0, we apply division lemma to 510 and 739, to get
739 = 510 x 1 + 229
Step 3: We consider the new divisor 510 and the new remainder 229, and apply the division lemma to get
510 = 229 x 2 + 52
We consider the new divisor 229 and the new remainder 52,and apply the division lemma to get
229 = 52 x 4 + 21
We consider the new divisor 52 and the new remainder 21,and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4205 and 739 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(229,52) = HCF(510,229) = HCF(739,510) = HCF(4205,739) .
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Frequently Asked Questions on HCF of 4205, 739 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 4205, 739?
Answer: HCF of 4205, 739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4205, 739 using Euclid's Algorithm?
Answer: For arbitrary numbers 4205, 739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.