Highest Common Factor of 358, 8921 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 358, 8921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 358, 8921 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 358, 8921 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 358, 8921 is 1.
HCF(358, 8921) = 1
HCF of 358, 8921 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 358, 8921 is 1.
Highest Common Factor of 358,8921 is 1
Step 1: Since 8921 > 358, we apply the division lemma to 8921 and 358, to get
8921 = 358 x 24 + 329
Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 329 and 358, to get
358 = 329 x 1 + 29
Step 3: We consider the new divisor 329 and the new remainder 29, and apply the division lemma to get
329 = 29 x 11 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 358 and 8921 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(329,29) = HCF(358,329) = HCF(8921,358) .
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Frequently Asked Questions on HCF of 358, 8921 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 358, 8921?
Answer: HCF of 358, 8921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 358, 8921 using Euclid's Algorithm?
Answer: For arbitrary numbers 358, 8921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.