Highest Common Factor of 5535, 6783 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 5535, 6783 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5535, 6783 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 5535, 6783 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 5535, 6783 is 3.
HCF(5535, 6783) = 3
HCF of 5535, 6783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5535, 6783 is 3.
Highest Common Factor of 5535,6783 is 3
Step 1: Since 6783 > 5535, we apply the division lemma to 6783 and 5535, to get
6783 = 5535 x 1 + 1248
Step 2: Since the reminder 5535 ≠ 0, we apply division lemma to 1248 and 5535, to get
5535 = 1248 x 4 + 543
Step 3: We consider the new divisor 1248 and the new remainder 543, and apply the division lemma to get
1248 = 543 x 2 + 162
We consider the new divisor 543 and the new remainder 162,and apply the division lemma to get
543 = 162 x 3 + 57
We consider the new divisor 162 and the new remainder 57,and apply the division lemma to get
162 = 57 x 2 + 48
We consider the new divisor 57 and the new remainder 48,and apply the division lemma to get
57 = 48 x 1 + 9
We consider the new divisor 48 and the new remainder 9,and apply the division lemma to get
48 = 9 x 5 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5535 and 6783 is 3
Notice that 3 = HCF(9,3) = HCF(48,9) = HCF(57,48) = HCF(162,57) = HCF(543,162) = HCF(1248,543) = HCF(5535,1248) = HCF(6783,5535) .
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Frequently Asked Questions on HCF of 5535, 6783 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 5535, 6783?
Answer: HCF of 5535, 6783 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5535, 6783 using Euclid's Algorithm?
Answer: For arbitrary numbers 5535, 6783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.