Highest Common Factor of 3440, 6529 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 3440, 6529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3440, 6529 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 3440, 6529 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 3440, 6529 is 1.
HCF(3440, 6529) = 1
HCF of 3440, 6529 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3440, 6529 is 1.
Highest Common Factor of 3440,6529 is 1
Step 1: Since 6529 > 3440, we apply the division lemma to 6529 and 3440, to get
6529 = 3440 x 1 + 3089
Step 2: Since the reminder 3440 ≠ 0, we apply division lemma to 3089 and 3440, to get
3440 = 3089 x 1 + 351
Step 3: We consider the new divisor 3089 and the new remainder 351, and apply the division lemma to get
3089 = 351 x 8 + 281
We consider the new divisor 351 and the new remainder 281,and apply the division lemma to get
351 = 281 x 1 + 70
We consider the new divisor 281 and the new remainder 70,and apply the division lemma to get
281 = 70 x 4 + 1
We consider the new divisor 70 and the new remainder 1,and apply the division lemma to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3440 and 6529 is 1
Notice that 1 = HCF(70,1) = HCF(281,70) = HCF(351,281) = HCF(3089,351) = HCF(3440,3089) = HCF(6529,3440) .
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Frequently Asked Questions on HCF of 3440, 6529 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 3440, 6529?
Answer: HCF of 3440, 6529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3440, 6529 using Euclid's Algorithm?
Answer: For arbitrary numbers 3440, 6529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.