Highest Common Factor of 886, 4671 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 886, 4671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 886, 4671 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 886, 4671 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 886, 4671 is 1.
HCF(886, 4671) = 1
HCF of 886, 4671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 886, 4671 is 1.
Highest Common Factor of 886,4671 is 1
Step 1: Since 4671 > 886, we apply the division lemma to 4671 and 886, to get
4671 = 886 x 5 + 241
Step 2: Since the reminder 886 ≠ 0, we apply division lemma to 241 and 886, to get
886 = 241 x 3 + 163
Step 3: We consider the new divisor 241 and the new remainder 163, and apply the division lemma to get
241 = 163 x 1 + 78
We consider the new divisor 163 and the new remainder 78,and apply the division lemma to get
163 = 78 x 2 + 7
We consider the new divisor 78 and the new remainder 7,and apply the division lemma to get
78 = 7 x 11 + 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 886 and 4671 is 1
Notice that 1 = HCF(7,1) = HCF(78,7) = HCF(163,78) = HCF(241,163) = HCF(886,241) = HCF(4671,886) .
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Frequently Asked Questions on HCF of 886, 4671 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 886, 4671?
Answer: HCF of 886, 4671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 886, 4671 using Euclid's Algorithm?
Answer: For arbitrary numbers 886, 4671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.