Highest Common Factor of 4705, 6434 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 4705, 6434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4705, 6434 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 4705, 6434 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 4705, 6434 is 1.
HCF(4705, 6434) = 1
HCF of 4705, 6434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4705, 6434 is 1.
Highest Common Factor of 4705,6434 is 1
Step 1: Since 6434 > 4705, we apply the division lemma to 6434 and 4705, to get
6434 = 4705 x 1 + 1729
Step 2: Since the reminder 4705 ≠ 0, we apply division lemma to 1729 and 4705, to get
4705 = 1729 x 2 + 1247
Step 3: We consider the new divisor 1729 and the new remainder 1247, and apply the division lemma to get
1729 = 1247 x 1 + 482
We consider the new divisor 1247 and the new remainder 482,and apply the division lemma to get
1247 = 482 x 2 + 283
We consider the new divisor 482 and the new remainder 283,and apply the division lemma to get
482 = 283 x 1 + 199
We consider the new divisor 283 and the new remainder 199,and apply the division lemma to get
283 = 199 x 1 + 84
We consider the new divisor 199 and the new remainder 84,and apply the division lemma to get
199 = 84 x 2 + 31
We consider the new divisor 84 and the new remainder 31,and apply the division lemma to get
84 = 31 x 2 + 22
We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get
31 = 22 x 1 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4705 and 6434 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(84,31) = HCF(199,84) = HCF(283,199) = HCF(482,283) = HCF(1247,482) = HCF(1729,1247) = HCF(4705,1729) = HCF(6434,4705) .
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Frequently Asked Questions on HCF of 4705, 6434 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 4705, 6434?
Answer: HCF of 4705, 6434 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4705, 6434 using Euclid's Algorithm?
Answer: For arbitrary numbers 4705, 6434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.