Highest Common Factor of 3352, 8184 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 3352, 8184 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 3352, 8184 is 8 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 3352, 8184 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 3352, 8184 is 8.
HCF(3352, 8184) = 8
HCF of 3352, 8184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3352, 8184 is 8.
Highest Common Factor of 3352,8184 is 8
Step 1: Since 8184 > 3352, we apply the division lemma to 8184 and 3352, to get
8184 = 3352 x 2 + 1480
Step 2: Since the reminder 3352 ≠ 0, we apply division lemma to 1480 and 3352, to get
3352 = 1480 x 2 + 392
Step 3: We consider the new divisor 1480 and the new remainder 392, and apply the division lemma to get
1480 = 392 x 3 + 304
We consider the new divisor 392 and the new remainder 304,and apply the division lemma to get
392 = 304 x 1 + 88
We consider the new divisor 304 and the new remainder 88,and apply the division lemma to get
304 = 88 x 3 + 40
We consider the new divisor 88 and the new remainder 40,and apply the division lemma to get
88 = 40 x 2 + 8
We consider the new divisor 40 and the new remainder 8,and apply the division lemma to get
40 = 8 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3352 and 8184 is 8
Notice that 8 = HCF(40,8) = HCF(88,40) = HCF(304,88) = HCF(392,304) = HCF(1480,392) = HCF(3352,1480) = HCF(8184,3352) .
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Frequently Asked Questions on HCF of 3352, 8184 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 3352, 8184?
Answer: HCF of 3352, 8184 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3352, 8184 using Euclid's Algorithm?
Answer: For arbitrary numbers 3352, 8184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.