Highest Common Factor of 3486, 6744 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 3486, 6744 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 3486, 6744 is 6 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 3486, 6744 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 3486, 6744 is 6.
HCF(3486, 6744) = 6
HCF of 3486, 6744 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3486, 6744 is 6.
Highest Common Factor of 3486,6744 is 6
Step 1: Since 6744 > 3486, we apply the division lemma to 6744 and 3486, to get
6744 = 3486 x 1 + 3258
Step 2: Since the reminder 3486 ≠ 0, we apply division lemma to 3258 and 3486, to get
3486 = 3258 x 1 + 228
Step 3: We consider the new divisor 3258 and the new remainder 228, and apply the division lemma to get
3258 = 228 x 14 + 66
We consider the new divisor 228 and the new remainder 66,and apply the division lemma to get
228 = 66 x 3 + 30
We consider the new divisor 66 and the new remainder 30,and apply the division lemma to get
66 = 30 x 2 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3486 and 6744 is 6
Notice that 6 = HCF(30,6) = HCF(66,30) = HCF(228,66) = HCF(3258,228) = HCF(3486,3258) = HCF(6744,3486) .
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Frequently Asked Questions on HCF of 3486, 6744 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 3486, 6744?
Answer: HCF of 3486, 6744 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3486, 6744 using Euclid's Algorithm?
Answer: For arbitrary numbers 3486, 6744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.