Highest Common Factor of 3357, 5856 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 3357, 5856 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3357, 5856 is 3 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 3357, 5856 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 3357, 5856 is 3.
HCF(3357, 5856) = 3
HCF of 3357, 5856 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3357, 5856 is 3.
Highest Common Factor of 3357,5856 is 3
Step 1: Since 5856 > 3357, we apply the division lemma to 5856 and 3357, to get
5856 = 3357 x 1 + 2499
Step 2: Since the reminder 3357 ≠ 0, we apply division lemma to 2499 and 3357, to get
3357 = 2499 x 1 + 858
Step 3: We consider the new divisor 2499 and the new remainder 858, and apply the division lemma to get
2499 = 858 x 2 + 783
We consider the new divisor 858 and the new remainder 783,and apply the division lemma to get
858 = 783 x 1 + 75
We consider the new divisor 783 and the new remainder 75,and apply the division lemma to get
783 = 75 x 10 + 33
We consider the new divisor 75 and the new remainder 33,and apply the division lemma to get
75 = 33 x 2 + 9
We consider the new divisor 33 and the new remainder 9,and apply the division lemma to get
33 = 9 x 3 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3357 and 5856 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(33,9) = HCF(75,33) = HCF(783,75) = HCF(858,783) = HCF(2499,858) = HCF(3357,2499) = HCF(5856,3357) .
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Frequently Asked Questions on HCF of 3357, 5856 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 3357, 5856?
Answer: HCF of 3357, 5856 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3357, 5856 using Euclid's Algorithm?
Answer: For arbitrary numbers 3357, 5856 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.