Highest Common Factor of 3781, 9670 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 3781, 9670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3781, 9670 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 3781, 9670 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 3781, 9670 is 1.
HCF(3781, 9670) = 1
HCF of 3781, 9670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3781, 9670 is 1.
Highest Common Factor of 3781,9670 is 1
Step 1: Since 9670 > 3781, we apply the division lemma to 9670 and 3781, to get
9670 = 3781 x 2 + 2108
Step 2: Since the reminder 3781 ≠ 0, we apply division lemma to 2108 and 3781, to get
3781 = 2108 x 1 + 1673
Step 3: We consider the new divisor 2108 and the new remainder 1673, and apply the division lemma to get
2108 = 1673 x 1 + 435
We consider the new divisor 1673 and the new remainder 435,and apply the division lemma to get
1673 = 435 x 3 + 368
We consider the new divisor 435 and the new remainder 368,and apply the division lemma to get
435 = 368 x 1 + 67
We consider the new divisor 368 and the new remainder 67,and apply the division lemma to get
368 = 67 x 5 + 33
We consider the new divisor 67 and the new remainder 33,and apply the division lemma to get
67 = 33 x 2 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3781 and 9670 is 1
Notice that 1 = HCF(33,1) = HCF(67,33) = HCF(368,67) = HCF(435,368) = HCF(1673,435) = HCF(2108,1673) = HCF(3781,2108) = HCF(9670,3781) .
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Frequently Asked Questions on HCF of 3781, 9670 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 3781, 9670?
Answer: HCF of 3781, 9670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3781, 9670 using Euclid's Algorithm?
Answer: For arbitrary numbers 3781, 9670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.