Highest Common Factor of 9029, 3725 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 9029, 3725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9029, 3725 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 9029, 3725 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 9029, 3725 is 1.
HCF(9029, 3725) = 1
HCF of 9029, 3725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9029, 3725 is 1.
Highest Common Factor of 9029,3725 is 1
Step 1: Since 9029 > 3725, we apply the division lemma to 9029 and 3725, to get
9029 = 3725 x 2 + 1579
Step 2: Since the reminder 3725 ≠ 0, we apply division lemma to 1579 and 3725, to get
3725 = 1579 x 2 + 567
Step 3: We consider the new divisor 1579 and the new remainder 567, and apply the division lemma to get
1579 = 567 x 2 + 445
We consider the new divisor 567 and the new remainder 445,and apply the division lemma to get
567 = 445 x 1 + 122
We consider the new divisor 445 and the new remainder 122,and apply the division lemma to get
445 = 122 x 3 + 79
We consider the new divisor 122 and the new remainder 79,and apply the division lemma to get
122 = 79 x 1 + 43
We consider the new divisor 79 and the new remainder 43,and apply the division lemma to get
79 = 43 x 1 + 36
We consider the new divisor 43 and the new remainder 36,and apply the division lemma to get
43 = 36 x 1 + 7
We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get
36 = 7 x 5 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9029 and 3725 is 1
Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(43,36) = HCF(79,43) = HCF(122,79) = HCF(445,122) = HCF(567,445) = HCF(1579,567) = HCF(3725,1579) = HCF(9029,3725) .
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Frequently Asked Questions on HCF of 9029, 3725 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 9029, 3725?
Answer: HCF of 9029, 3725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9029, 3725 using Euclid's Algorithm?
Answer: For arbitrary numbers 9029, 3725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.