Highest Common Factor of 366, 26218 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 366, 26218 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 366, 26218 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 366, 26218 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 366, 26218 is 2.
HCF(366, 26218) = 2
HCF of 366, 26218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 366, 26218 is 2.
Highest Common Factor of 366,26218 is 2
Step 1: Since 26218 > 366, we apply the division lemma to 26218 and 366, to get
26218 = 366 x 71 + 232
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 232 and 366, to get
366 = 232 x 1 + 134
Step 3: We consider the new divisor 232 and the new remainder 134, and apply the division lemma to get
232 = 134 x 1 + 98
We consider the new divisor 134 and the new remainder 98,and apply the division lemma to get
134 = 98 x 1 + 36
We consider the new divisor 98 and the new remainder 36,and apply the division lemma to get
98 = 36 x 2 + 26
We consider the new divisor 36 and the new remainder 26,and apply the division lemma to get
36 = 26 x 1 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 366 and 26218 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(36,26) = HCF(98,36) = HCF(134,98) = HCF(232,134) = HCF(366,232) = HCF(26218,366) .
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Frequently Asked Questions on HCF of 366, 26218 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 366, 26218?
Answer: HCF of 366, 26218 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 366, 26218 using Euclid's Algorithm?
Answer: For arbitrary numbers 366, 26218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.