Highest Common Factor of 884, 3201 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 884, 3201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 3201 is 1 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 884, 3201 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 884, 3201 is 1.
HCF(884, 3201) = 1
HCF of 884, 3201 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 884, 3201 is 1.
Highest Common Factor of 884,3201 is 1
Step 1: Since 3201 > 884, we apply the division lemma to 3201 and 884, to get
3201 = 884 x 3 + 549
Step 2: Since the reminder 884 ≠ 0, we apply division lemma to 549 and 884, to get
884 = 549 x 1 + 335
Step 3: We consider the new divisor 549 and the new remainder 335, and apply the division lemma to get
549 = 335 x 1 + 214
We consider the new divisor 335 and the new remainder 214,and apply the division lemma to get
335 = 214 x 1 + 121
We consider the new divisor 214 and the new remainder 121,and apply the division lemma to get
214 = 121 x 1 + 93
We consider the new divisor 121 and the new remainder 93,and apply the division lemma to get
121 = 93 x 1 + 28
We consider the new divisor 93 and the new remainder 28,and apply the division lemma to get
93 = 28 x 3 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 884 and 3201 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(93,28) = HCF(121,93) = HCF(214,121) = HCF(335,214) = HCF(549,335) = HCF(884,549) = HCF(3201,884) .
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Frequently Asked Questions on HCF of 884, 3201 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 884, 3201?
Answer: HCF of 884, 3201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 3201 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 3201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.