Highest Common Factor of 836, 64853 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 836, 64853 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 64853 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 836, 64853 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 836, 64853 is 1.
HCF(836, 64853) = 1
HCF of 836, 64853 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 64853 is 1.
Highest Common Factor of 836,64853 is 1
Step 1: Since 64853 > 836, we apply the division lemma to 64853 and 836, to get
64853 = 836 x 77 + 481
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 481 and 836, to get
836 = 481 x 1 + 355
Step 3: We consider the new divisor 481 and the new remainder 355, and apply the division lemma to get
481 = 355 x 1 + 126
We consider the new divisor 355 and the new remainder 126,and apply the division lemma to get
355 = 126 x 2 + 103
We consider the new divisor 126 and the new remainder 103,and apply the division lemma to get
126 = 103 x 1 + 23
We consider the new divisor 103 and the new remainder 23,and apply the division lemma to get
103 = 23 x 4 + 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 836 and 64853 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(103,23) = HCF(126,103) = HCF(355,126) = HCF(481,355) = HCF(836,481) = HCF(64853,836) .
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Frequently Asked Questions on HCF of 836, 64853 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 836, 64853?
Answer: HCF of 836, 64853 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 64853 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 64853 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
