Highest Common Factor of 7172, 3831 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 7172, 3831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7172, 3831 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 7172, 3831 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 7172, 3831 is 1.
HCF(7172, 3831) = 1
HCF of 7172, 3831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7172, 3831 is 1.
Highest Common Factor of 7172,3831 is 1
Step 1: Since 7172 > 3831, we apply the division lemma to 7172 and 3831, to get
7172 = 3831 x 1 + 3341
Step 2: Since the reminder 3831 ≠ 0, we apply division lemma to 3341 and 3831, to get
3831 = 3341 x 1 + 490
Step 3: We consider the new divisor 3341 and the new remainder 490, and apply the division lemma to get
3341 = 490 x 6 + 401
We consider the new divisor 490 and the new remainder 401,and apply the division lemma to get
490 = 401 x 1 + 89
We consider the new divisor 401 and the new remainder 89,and apply the division lemma to get
401 = 89 x 4 + 45
We consider the new divisor 89 and the new remainder 45,and apply the division lemma to get
89 = 45 x 1 + 44
We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get
45 = 44 x 1 + 1
We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7172 and 3831 is 1
Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(89,45) = HCF(401,89) = HCF(490,401) = HCF(3341,490) = HCF(3831,3341) = HCF(7172,3831) .
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Frequently Asked Questions on HCF of 7172, 3831 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 7172, 3831?
Answer: HCF of 7172, 3831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7172, 3831 using Euclid's Algorithm?
Answer: For arbitrary numbers 7172, 3831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.