Highest Common Factor of 3324, 3808 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 3324, 3808 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3324, 3808 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 3324, 3808 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 3324, 3808 is 4.
HCF(3324, 3808) = 4
HCF of 3324, 3808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3324, 3808 is 4.
Highest Common Factor of 3324,3808 is 4
Step 1: Since 3808 > 3324, we apply the division lemma to 3808 and 3324, to get
3808 = 3324 x 1 + 484
Step 2: Since the reminder 3324 ≠ 0, we apply division lemma to 484 and 3324, to get
3324 = 484 x 6 + 420
Step 3: We consider the new divisor 484 and the new remainder 420, and apply the division lemma to get
484 = 420 x 1 + 64
We consider the new divisor 420 and the new remainder 64,and apply the division lemma to get
420 = 64 x 6 + 36
We consider the new divisor 64 and the new remainder 36,and apply the division lemma to get
64 = 36 x 1 + 28
We consider the new divisor 36 and the new remainder 28,and apply the division lemma to get
36 = 28 x 1 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3324 and 3808 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(64,36) = HCF(420,64) = HCF(484,420) = HCF(3324,484) = HCF(3808,3324) .
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Frequently Asked Questions on HCF of 3324, 3808 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 3324, 3808?
Answer: HCF of 3324, 3808 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3324, 3808 using Euclid's Algorithm?
Answer: For arbitrary numbers 3324, 3808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.