Highest Common Factor of 3231, 7853 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 3231, 7853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3231, 7853 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 3231, 7853 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 3231, 7853 is 1.
HCF(3231, 7853) = 1
HCF of 3231, 7853 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3231, 7853 is 1.
Highest Common Factor of 3231,7853 is 1
Step 1: Since 7853 > 3231, we apply the division lemma to 7853 and 3231, to get
7853 = 3231 x 2 + 1391
Step 2: Since the reminder 3231 ≠ 0, we apply division lemma to 1391 and 3231, to get
3231 = 1391 x 2 + 449
Step 3: We consider the new divisor 1391 and the new remainder 449, and apply the division lemma to get
1391 = 449 x 3 + 44
We consider the new divisor 449 and the new remainder 44,and apply the division lemma to get
449 = 44 x 10 + 9
We consider the new divisor 44 and the new remainder 9,and apply the division lemma to get
44 = 9 x 4 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3231 and 7853 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(44,9) = HCF(449,44) = HCF(1391,449) = HCF(3231,1391) = HCF(7853,3231) .
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Frequently Asked Questions on HCF of 3231, 7853 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 3231, 7853?
Answer: HCF of 3231, 7853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3231, 7853 using Euclid's Algorithm?
Answer: For arbitrary numbers 3231, 7853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.