Highest Common Factor of 873, 4007 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 873, 4007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 873, 4007 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 873, 4007 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 873, 4007 is 1.
HCF(873, 4007) = 1
HCF of 873, 4007 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 873, 4007 is 1.
Highest Common Factor of 873,4007 is 1
Step 1: Since 4007 > 873, we apply the division lemma to 4007 and 873, to get
4007 = 873 x 4 + 515
Step 2: Since the reminder 873 ≠ 0, we apply division lemma to 515 and 873, to get
873 = 515 x 1 + 358
Step 3: We consider the new divisor 515 and the new remainder 358, and apply the division lemma to get
515 = 358 x 1 + 157
We consider the new divisor 358 and the new remainder 157,and apply the division lemma to get
358 = 157 x 2 + 44
We consider the new divisor 157 and the new remainder 44,and apply the division lemma to get
157 = 44 x 3 + 25
We consider the new divisor 44 and the new remainder 25,and apply the division lemma to get
44 = 25 x 1 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 873 and 4007 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(44,25) = HCF(157,44) = HCF(358,157) = HCF(515,358) = HCF(873,515) = HCF(4007,873) .
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Frequently Asked Questions on HCF of 873, 4007 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 873, 4007?
Answer: HCF of 873, 4007 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 873, 4007 using Euclid's Algorithm?
Answer: For arbitrary numbers 873, 4007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.