Highest Common Factor of 849, 631 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 849, 631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 631 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 849, 631 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 849, 631 is 1.
HCF(849, 631) = 1
HCF of 849, 631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 631 is 1.
Highest Common Factor of 849,631 is 1
Step 1: Since 849 > 631, we apply the division lemma to 849 and 631, to get
849 = 631 x 1 + 218
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 218 and 631, to get
631 = 218 x 2 + 195
Step 3: We consider the new divisor 218 and the new remainder 195, and apply the division lemma to get
218 = 195 x 1 + 23
We consider the new divisor 195 and the new remainder 23,and apply the division lemma to get
195 = 23 x 8 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 849 and 631 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(195,23) = HCF(218,195) = HCF(631,218) = HCF(849,631) .
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Frequently Asked Questions on HCF of 849, 631 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 849, 631?
Answer: HCF of 849, 631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 631 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.