Highest Common Factor of 218, 981, 356 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 218, 981, 356 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 218, 981, 356 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 218, 981, 356 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 218, 981, 356 is 1.
HCF(218, 981, 356) = 1
HCF of 218, 981, 356 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 218, 981, 356 is 1.
Highest Common Factor of 218,981,356 is 1
Step 1: Since 981 > 218, we apply the division lemma to 981 and 218, to get
981 = 218 x 4 + 109
Step 2: Since the reminder 218 ≠ 0, we apply division lemma to 109 and 218, to get
218 = 109 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 109, the HCF of 218 and 981 is 109
Notice that 109 = HCF(218,109) = HCF(981,218) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 356 > 109, we apply the division lemma to 356 and 109, to get
356 = 109 x 3 + 29
Step 2: Since the reminder 109 ≠ 0, we apply division lemma to 29 and 109, to get
109 = 29 x 3 + 22
Step 3: We consider the new divisor 29 and the new remainder 22, and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 109 and 356 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(109,29) = HCF(356,109) .
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Frequently Asked Questions on HCF of 218, 981, 356 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 218, 981, 356?
Answer: HCF of 218, 981, 356 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 218, 981, 356 using Euclid's Algorithm?
Answer: For arbitrary numbers 218, 981, 356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.