Highest Common Factor of 9302, 4911 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 9302, 4911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9302, 4911 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 9302, 4911 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 9302, 4911 is 1.
HCF(9302, 4911) = 1
HCF of 9302, 4911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9302, 4911 is 1.
Highest Common Factor of 9302,4911 is 1
Step 1: Since 9302 > 4911, we apply the division lemma to 9302 and 4911, to get
9302 = 4911 x 1 + 4391
Step 2: Since the reminder 4911 ≠ 0, we apply division lemma to 4391 and 4911, to get
4911 = 4391 x 1 + 520
Step 3: We consider the new divisor 4391 and the new remainder 520, and apply the division lemma to get
4391 = 520 x 8 + 231
We consider the new divisor 520 and the new remainder 231,and apply the division lemma to get
520 = 231 x 2 + 58
We consider the new divisor 231 and the new remainder 58,and apply the division lemma to get
231 = 58 x 3 + 57
We consider the new divisor 58 and the new remainder 57,and apply the division lemma to get
58 = 57 x 1 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9302 and 4911 is 1
Notice that 1 = HCF(57,1) = HCF(58,57) = HCF(231,58) = HCF(520,231) = HCF(4391,520) = HCF(4911,4391) = HCF(9302,4911) .
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Frequently Asked Questions on HCF of 9302, 4911 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 9302, 4911?
Answer: HCF of 9302, 4911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9302, 4911 using Euclid's Algorithm?
Answer: For arbitrary numbers 9302, 4911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.