Highest Common Factor of 4328, 6685 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 4328, 6685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4328, 6685 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 4328, 6685 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 4328, 6685 is 1.
HCF(4328, 6685) = 1
HCF of 4328, 6685 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4328, 6685 is 1.
Highest Common Factor of 4328,6685 is 1
Step 1: Since 6685 > 4328, we apply the division lemma to 6685 and 4328, to get
6685 = 4328 x 1 + 2357
Step 2: Since the reminder 4328 ≠ 0, we apply division lemma to 2357 and 4328, to get
4328 = 2357 x 1 + 1971
Step 3: We consider the new divisor 2357 and the new remainder 1971, and apply the division lemma to get
2357 = 1971 x 1 + 386
We consider the new divisor 1971 and the new remainder 386,and apply the division lemma to get
1971 = 386 x 5 + 41
We consider the new divisor 386 and the new remainder 41,and apply the division lemma to get
386 = 41 x 9 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4328 and 6685 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(386,41) = HCF(1971,386) = HCF(2357,1971) = HCF(4328,2357) = HCF(6685,4328) .
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Frequently Asked Questions on HCF of 4328, 6685 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 4328, 6685?
Answer: HCF of 4328, 6685 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4328, 6685 using Euclid's Algorithm?
Answer: For arbitrary numbers 4328, 6685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.