Highest Common Factor of 4671, 8837 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 4671, 8837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4671, 8837 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 4671, 8837 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 4671, 8837 is 1.
HCF(4671, 8837) = 1
HCF of 4671, 8837 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4671, 8837 is 1.
Highest Common Factor of 4671,8837 is 1
Step 1: Since 8837 > 4671, we apply the division lemma to 8837 and 4671, to get
8837 = 4671 x 1 + 4166
Step 2: Since the reminder 4671 ≠ 0, we apply division lemma to 4166 and 4671, to get
4671 = 4166 x 1 + 505
Step 3: We consider the new divisor 4166 and the new remainder 505, and apply the division lemma to get
4166 = 505 x 8 + 126
We consider the new divisor 505 and the new remainder 126,and apply the division lemma to get
505 = 126 x 4 + 1
We consider the new divisor 126 and the new remainder 1,and apply the division lemma to get
126 = 1 x 126 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4671 and 8837 is 1
Notice that 1 = HCF(126,1) = HCF(505,126) = HCF(4166,505) = HCF(4671,4166) = HCF(8837,4671) .
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Frequently Asked Questions on HCF of 4671, 8837 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 4671, 8837?
Answer: HCF of 4671, 8837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4671, 8837 using Euclid's Algorithm?
Answer: For arbitrary numbers 4671, 8837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.