Highest Common Factor of 6408, 3612 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 6408, 3612 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 6408, 3612 is 12 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 6408, 3612 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 6408, 3612 is 12.
HCF(6408, 3612) = 12
HCF of 6408, 3612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6408, 3612 is 12.
Highest Common Factor of 6408,3612 is 12
Step 1: Since 6408 > 3612, we apply the division lemma to 6408 and 3612, to get
6408 = 3612 x 1 + 2796
Step 2: Since the reminder 3612 ≠ 0, we apply division lemma to 2796 and 3612, to get
3612 = 2796 x 1 + 816
Step 3: We consider the new divisor 2796 and the new remainder 816, and apply the division lemma to get
2796 = 816 x 3 + 348
We consider the new divisor 816 and the new remainder 348,and apply the division lemma to get
816 = 348 x 2 + 120
We consider the new divisor 348 and the new remainder 120,and apply the division lemma to get
348 = 120 x 2 + 108
We consider the new divisor 120 and the new remainder 108,and apply the division lemma to get
120 = 108 x 1 + 12
We consider the new divisor 108 and the new remainder 12,and apply the division lemma to get
108 = 12 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 6408 and 3612 is 12
Notice that 12 = HCF(108,12) = HCF(120,108) = HCF(348,120) = HCF(816,348) = HCF(2796,816) = HCF(3612,2796) = HCF(6408,3612) .
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Frequently Asked Questions on HCF of 6408, 3612 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 6408, 3612?
Answer: HCF of 6408, 3612 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6408, 3612 using Euclid's Algorithm?
Answer: For arbitrary numbers 6408, 3612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.