Highest Common Factor of 3348, 6388 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 3348, 6388 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3348, 6388 is 4 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 3348, 6388 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 3348, 6388 is 4.
HCF(3348, 6388) = 4
HCF of 3348, 6388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3348, 6388 is 4.
Highest Common Factor of 3348,6388 is 4
Step 1: Since 6388 > 3348, we apply the division lemma to 6388 and 3348, to get
6388 = 3348 x 1 + 3040
Step 2: Since the reminder 3348 ≠ 0, we apply division lemma to 3040 and 3348, to get
3348 = 3040 x 1 + 308
Step 3: We consider the new divisor 3040 and the new remainder 308, and apply the division lemma to get
3040 = 308 x 9 + 268
We consider the new divisor 308 and the new remainder 268,and apply the division lemma to get
308 = 268 x 1 + 40
We consider the new divisor 268 and the new remainder 40,and apply the division lemma to get
268 = 40 x 6 + 28
We consider the new divisor 40 and the new remainder 28,and apply the division lemma to get
40 = 28 x 1 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3348 and 6388 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(40,28) = HCF(268,40) = HCF(308,268) = HCF(3040,308) = HCF(3348,3040) = HCF(6388,3348) .
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Frequently Asked Questions on HCF of 3348, 6388 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 3348, 6388?
Answer: HCF of 3348, 6388 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3348, 6388 using Euclid's Algorithm?
Answer: For arbitrary numbers 3348, 6388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.