Highest Common Factor of 6348, 3555 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 6348, 3555 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6348, 3555 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 6348, 3555 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 6348, 3555 is 3.
HCF(6348, 3555) = 3
HCF of 6348, 3555 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6348, 3555 is 3.
Highest Common Factor of 6348,3555 is 3
Step 1: Since 6348 > 3555, we apply the division lemma to 6348 and 3555, to get
6348 = 3555 x 1 + 2793
Step 2: Since the reminder 3555 ≠ 0, we apply division lemma to 2793 and 3555, to get
3555 = 2793 x 1 + 762
Step 3: We consider the new divisor 2793 and the new remainder 762, and apply the division lemma to get
2793 = 762 x 3 + 507
We consider the new divisor 762 and the new remainder 507,and apply the division lemma to get
762 = 507 x 1 + 255
We consider the new divisor 507 and the new remainder 255,and apply the division lemma to get
507 = 255 x 1 + 252
We consider the new divisor 255 and the new remainder 252,and apply the division lemma to get
255 = 252 x 1 + 3
We consider the new divisor 252 and the new remainder 3,and apply the division lemma to get
252 = 3 x 84 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6348 and 3555 is 3
Notice that 3 = HCF(252,3) = HCF(255,252) = HCF(507,255) = HCF(762,507) = HCF(2793,762) = HCF(3555,2793) = HCF(6348,3555) .
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Frequently Asked Questions on HCF of 6348, 3555 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 6348, 3555?
Answer: HCF of 6348, 3555 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6348, 3555 using Euclid's Algorithm?
Answer: For arbitrary numbers 6348, 3555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.