Highest Common Factor of 4071, 8788 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 4071, 8788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4071, 8788 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 4071, 8788 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 4071, 8788 is 1.
HCF(4071, 8788) = 1
HCF of 4071, 8788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4071, 8788 is 1.
Highest Common Factor of 4071,8788 is 1
Step 1: Since 8788 > 4071, we apply the division lemma to 8788 and 4071, to get
8788 = 4071 x 2 + 646
Step 2: Since the reminder 4071 ≠ 0, we apply division lemma to 646 and 4071, to get
4071 = 646 x 6 + 195
Step 3: We consider the new divisor 646 and the new remainder 195, and apply the division lemma to get
646 = 195 x 3 + 61
We consider the new divisor 195 and the new remainder 61,and apply the division lemma to get
195 = 61 x 3 + 12
We consider the new divisor 61 and the new remainder 12,and apply the division lemma to get
61 = 12 x 5 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4071 and 8788 is 1
Notice that 1 = HCF(12,1) = HCF(61,12) = HCF(195,61) = HCF(646,195) = HCF(4071,646) = HCF(8788,4071) .
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Frequently Asked Questions on HCF of 4071, 8788 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 4071, 8788?
Answer: HCF of 4071, 8788 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4071, 8788 using Euclid's Algorithm?
Answer: For arbitrary numbers 4071, 8788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.