Highest Common Factor of 438, 8981 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 438, 8981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 438, 8981 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 438, 8981 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 438, 8981 is 1.
HCF(438, 8981) = 1
HCF of 438, 8981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 438, 8981 is 1.
Highest Common Factor of 438,8981 is 1
Step 1: Since 8981 > 438, we apply the division lemma to 8981 and 438, to get
8981 = 438 x 20 + 221
Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 221 and 438, to get
438 = 221 x 1 + 217
Step 3: We consider the new divisor 221 and the new remainder 217, and apply the division lemma to get
221 = 217 x 1 + 4
We consider the new divisor 217 and the new remainder 4,and apply the division lemma to get
217 = 4 x 54 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 438 and 8981 is 1
Notice that 1 = HCF(4,1) = HCF(217,4) = HCF(221,217) = HCF(438,221) = HCF(8981,438) .
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Frequently Asked Questions on HCF of 438, 8981 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 438, 8981?
Answer: HCF of 438, 8981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 438, 8981 using Euclid's Algorithm?
Answer: For arbitrary numbers 438, 8981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.