Highest Common Factor of 6288, 3495 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 6288, 3495 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6288, 3495 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 6288, 3495 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 6288, 3495 is 3.
HCF(6288, 3495) = 3
HCF of 6288, 3495 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6288, 3495 is 3.
Highest Common Factor of 6288,3495 is 3
Step 1: Since 6288 > 3495, we apply the division lemma to 6288 and 3495, to get
6288 = 3495 x 1 + 2793
Step 2: Since the reminder 3495 ≠ 0, we apply division lemma to 2793 and 3495, to get
3495 = 2793 x 1 + 702
Step 3: We consider the new divisor 2793 and the new remainder 702, and apply the division lemma to get
2793 = 702 x 3 + 687
We consider the new divisor 702 and the new remainder 687,and apply the division lemma to get
702 = 687 x 1 + 15
We consider the new divisor 687 and the new remainder 15,and apply the division lemma to get
687 = 15 x 45 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6288 and 3495 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(687,15) = HCF(702,687) = HCF(2793,702) = HCF(3495,2793) = HCF(6288,3495) .
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Frequently Asked Questions on HCF of 6288, 3495 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 6288, 3495?
Answer: HCF of 6288, 3495 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6288, 3495 using Euclid's Algorithm?
Answer: For arbitrary numbers 6288, 3495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.