Highest Common Factor of 364, 262, 810 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 364, 262, 810 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 364, 262, 810 is 2 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 364, 262, 810 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 364, 262, 810 is 2.
HCF(364, 262, 810) = 2
HCF of 364, 262, 810 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 364, 262, 810 is 2.
Highest Common Factor of 364,262,810 is 2
Step 1: Since 364 > 262, we apply the division lemma to 364 and 262, to get
364 = 262 x 1 + 102
Step 2: Since the reminder 262 ≠ 0, we apply division lemma to 102 and 262, to get
262 = 102 x 2 + 58
Step 3: We consider the new divisor 102 and the new remainder 58, and apply the division lemma to get
102 = 58 x 1 + 44
We consider the new divisor 58 and the new remainder 44,and apply the division lemma to get
58 = 44 x 1 + 14
We consider the new divisor 44 and the new remainder 14,and apply the division lemma to get
44 = 14 x 3 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 364 and 262 is 2
Notice that 2 = HCF(14,2) = HCF(44,14) = HCF(58,44) = HCF(102,58) = HCF(262,102) = HCF(364,262) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 810 > 2, we apply the division lemma to 810 and 2, to get
810 = 2 x 405 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 810 is 2
Notice that 2 = HCF(810,2) .
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Frequently Asked Questions on HCF of 364, 262, 810 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 364, 262, 810?
Answer: HCF of 364, 262, 810 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 364, 262, 810 using Euclid's Algorithm?
Answer: For arbitrary numbers 364, 262, 810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.