Highest Common Factor of 4932, 8353 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 4932, 8353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4932, 8353 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 4932, 8353 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 4932, 8353 is 1.
HCF(4932, 8353) = 1
HCF of 4932, 8353 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4932, 8353 is 1.
Highest Common Factor of 4932,8353 is 1
Step 1: Since 8353 > 4932, we apply the division lemma to 8353 and 4932, to get
8353 = 4932 x 1 + 3421
Step 2: Since the reminder 4932 ≠ 0, we apply division lemma to 3421 and 4932, to get
4932 = 3421 x 1 + 1511
Step 3: We consider the new divisor 3421 and the new remainder 1511, and apply the division lemma to get
3421 = 1511 x 2 + 399
We consider the new divisor 1511 and the new remainder 399,and apply the division lemma to get
1511 = 399 x 3 + 314
We consider the new divisor 399 and the new remainder 314,and apply the division lemma to get
399 = 314 x 1 + 85
We consider the new divisor 314 and the new remainder 85,and apply the division lemma to get
314 = 85 x 3 + 59
We consider the new divisor 85 and the new remainder 59,and apply the division lemma to get
85 = 59 x 1 + 26
We consider the new divisor 59 and the new remainder 26,and apply the division lemma to get
59 = 26 x 2 + 7
We consider the new divisor 26 and the new remainder 7,and apply the division lemma to get
26 = 7 x 3 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 4932 and 8353 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(26,7) = HCF(59,26) = HCF(85,59) = HCF(314,85) = HCF(399,314) = HCF(1511,399) = HCF(3421,1511) = HCF(4932,3421) = HCF(8353,4932) .
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Frequently Asked Questions on HCF of 4932, 8353 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 4932, 8353?
Answer: HCF of 4932, 8353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4932, 8353 using Euclid's Algorithm?
Answer: For arbitrary numbers 4932, 8353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.