Highest Common Factor of 8871, 3790 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 8871, 3790 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8871, 3790 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 8871, 3790 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 8871, 3790 is 1.
HCF(8871, 3790) = 1
HCF of 8871, 3790 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8871, 3790 is 1.
Highest Common Factor of 8871,3790 is 1
Step 1: Since 8871 > 3790, we apply the division lemma to 8871 and 3790, to get
8871 = 3790 x 2 + 1291
Step 2: Since the reminder 3790 ≠ 0, we apply division lemma to 1291 and 3790, to get
3790 = 1291 x 2 + 1208
Step 3: We consider the new divisor 1291 and the new remainder 1208, and apply the division lemma to get
1291 = 1208 x 1 + 83
We consider the new divisor 1208 and the new remainder 83,and apply the division lemma to get
1208 = 83 x 14 + 46
We consider the new divisor 83 and the new remainder 46,and apply the division lemma to get
83 = 46 x 1 + 37
We consider the new divisor 46 and the new remainder 37,and apply the division lemma to get
46 = 37 x 1 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8871 and 3790 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(46,37) = HCF(83,46) = HCF(1208,83) = HCF(1291,1208) = HCF(3790,1291) = HCF(8871,3790) .
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Frequently Asked Questions on HCF of 8871, 3790 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 8871, 3790?
Answer: HCF of 8871, 3790 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8871, 3790 using Euclid's Algorithm?
Answer: For arbitrary numbers 8871, 3790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.