Highest Common Factor of 2346, 2555, 73218 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 2346, 2555, 73218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2346, 2555, 73218 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 2346, 2555, 73218 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 2346, 2555, 73218 is 1.
HCF(2346, 2555, 73218) = 1
HCF of 2346, 2555, 73218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2346, 2555, 73218 is 1.
Highest Common Factor of 2346,2555,73218 is 1
Step 1: Since 2555 > 2346, we apply the division lemma to 2555 and 2346, to get
2555 = 2346 x 1 + 209
Step 2: Since the reminder 2346 ≠ 0, we apply division lemma to 209 and 2346, to get
2346 = 209 x 11 + 47
Step 3: We consider the new divisor 209 and the new remainder 47, and apply the division lemma to get
209 = 47 x 4 + 21
We consider the new divisor 47 and the new remainder 21,and apply the division lemma to get
47 = 21 x 2 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2346 and 2555 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(47,21) = HCF(209,47) = HCF(2346,209) = HCF(2555,2346) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73218 > 1, we apply the division lemma to 73218 and 1, to get
73218 = 1 x 73218 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73218 is 1
Notice that 1 = HCF(73218,1) .
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Frequently Asked Questions on HCF of 2346, 2555, 73218 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 2346, 2555, 73218?
Answer: HCF of 2346, 2555, 73218 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2346, 2555, 73218 using Euclid's Algorithm?
Answer: For arbitrary numbers 2346, 2555, 73218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.