Highest Common Factor of 3770, 1029 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 3770, 1029 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3770, 1029 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 3770, 1029 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 3770, 1029 is 1.
HCF(3770, 1029) = 1
HCF of 3770, 1029 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3770, 1029 is 1.
Highest Common Factor of 3770,1029 is 1
Step 1: Since 3770 > 1029, we apply the division lemma to 3770 and 1029, to get
3770 = 1029 x 3 + 683
Step 2: Since the reminder 1029 ≠ 0, we apply division lemma to 683 and 1029, to get
1029 = 683 x 1 + 346
Step 3: We consider the new divisor 683 and the new remainder 346, and apply the division lemma to get
683 = 346 x 1 + 337
We consider the new divisor 346 and the new remainder 337,and apply the division lemma to get
346 = 337 x 1 + 9
We consider the new divisor 337 and the new remainder 9,and apply the division lemma to get
337 = 9 x 37 + 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 3770 and 1029 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(337,9) = HCF(346,337) = HCF(683,346) = HCF(1029,683) = HCF(3770,1029) .
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Frequently Asked Questions on HCF of 3770, 1029 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 3770, 1029?
Answer: HCF of 3770, 1029 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3770, 1029 using Euclid's Algorithm?
Answer: For arbitrary numbers 3770, 1029 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.