Highest Common Factor of 3529, 7034 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 3529, 7034 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3529, 7034 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 3529, 7034 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 3529, 7034 is 1.
HCF(3529, 7034) = 1
HCF of 3529, 7034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3529, 7034 is 1.
Highest Common Factor of 3529,7034 is 1
Step 1: Since 7034 > 3529, we apply the division lemma to 7034 and 3529, to get
7034 = 3529 x 1 + 3505
Step 2: Since the reminder 3529 ≠ 0, we apply division lemma to 3505 and 3529, to get
3529 = 3505 x 1 + 24
Step 3: We consider the new divisor 3505 and the new remainder 24, and apply the division lemma to get
3505 = 24 x 146 + 1
We consider the new divisor 24 and the new remainder 1, and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3529 and 7034 is 1
Notice that 1 = HCF(24,1) = HCF(3505,24) = HCF(3529,3505) = HCF(7034,3529) .
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Frequently Asked Questions on HCF of 3529, 7034 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 3529, 7034?
Answer: HCF of 3529, 7034 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3529, 7034 using Euclid's Algorithm?
Answer: For arbitrary numbers 3529, 7034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.