Highest Common Factor of 4179, 4010 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 4179, 4010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4179, 4010 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 4179, 4010 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 4179, 4010 is 1.
HCF(4179, 4010) = 1
HCF of 4179, 4010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4179, 4010 is 1.
Highest Common Factor of 4179,4010 is 1
Step 1: Since 4179 > 4010, we apply the division lemma to 4179 and 4010, to get
4179 = 4010 x 1 + 169
Step 2: Since the reminder 4010 ≠ 0, we apply division lemma to 169 and 4010, to get
4010 = 169 x 23 + 123
Step 3: We consider the new divisor 169 and the new remainder 123, and apply the division lemma to get
169 = 123 x 1 + 46
We consider the new divisor 123 and the new remainder 46,and apply the division lemma to get
123 = 46 x 2 + 31
We consider the new divisor 46 and the new remainder 31,and apply the division lemma to get
46 = 31 x 1 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4179 and 4010 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(46,31) = HCF(123,46) = HCF(169,123) = HCF(4010,169) = HCF(4179,4010) .
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Frequently Asked Questions on HCF of 4179, 4010 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 4179, 4010?
Answer: HCF of 4179, 4010 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4179, 4010 using Euclid's Algorithm?
Answer: For arbitrary numbers 4179, 4010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.