Highest Common Factor of 9234, 8429 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 9234, 8429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9234, 8429 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 9234, 8429 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 9234, 8429 is 1.
HCF(9234, 8429) = 1
HCF of 9234, 8429 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9234, 8429 is 1.
Highest Common Factor of 9234,8429 is 1
Step 1: Since 9234 > 8429, we apply the division lemma to 9234 and 8429, to get
9234 = 8429 x 1 + 805
Step 2: Since the reminder 8429 ≠ 0, we apply division lemma to 805 and 8429, to get
8429 = 805 x 10 + 379
Step 3: We consider the new divisor 805 and the new remainder 379, and apply the division lemma to get
805 = 379 x 2 + 47
We consider the new divisor 379 and the new remainder 47,and apply the division lemma to get
379 = 47 x 8 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9234 and 8429 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(379,47) = HCF(805,379) = HCF(8429,805) = HCF(9234,8429) .
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Frequently Asked Questions on HCF of 9234, 8429 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 9234, 8429?
Answer: HCF of 9234, 8429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9234, 8429 using Euclid's Algorithm?
Answer: For arbitrary numbers 9234, 8429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.