Highest Common Factor of 438, 8302 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, 8302 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 438, 8302 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 438, 8302 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, 8302 is 2.
HCF(438, 8302) = 2
HCF of 438, 8302 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, 8302 is 2.
Highest Common Factor of 438,8302 is 2
Step 1: Since 8302 > 438, we apply the division lemma to 8302 and 438, to get
8302 = 438 x 18 + 418
Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 418 and 438, to get
438 = 418 x 1 + 20
Step 3: We consider the new divisor 418 and the new remainder 20, and apply the division lemma to get
418 = 20 x 20 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 438 and 8302 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(418,20) = HCF(438,418) = HCF(8302,438) .
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Frequently Asked Questions on HCF of 438, 8302 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, 8302?
Answer: HCF of 438, 8302 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 438, 8302 using Euclid's Algorithm?
Answer: For arbitrary numbers 438, 8302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.