Highest Common Factor of 3164, 2281 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 3164, 2281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3164, 2281 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 3164, 2281 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 3164, 2281 is 1.
HCF(3164, 2281) = 1
HCF of 3164, 2281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3164, 2281 is 1.
Highest Common Factor of 3164,2281 is 1
Step 1: Since 3164 > 2281, we apply the division lemma to 3164 and 2281, to get
3164 = 2281 x 1 + 883
Step 2: Since the reminder 2281 ≠ 0, we apply division lemma to 883 and 2281, to get
2281 = 883 x 2 + 515
Step 3: We consider the new divisor 883 and the new remainder 515, and apply the division lemma to get
883 = 515 x 1 + 368
We consider the new divisor 515 and the new remainder 368,and apply the division lemma to get
515 = 368 x 1 + 147
We consider the new divisor 368 and the new remainder 147,and apply the division lemma to get
368 = 147 x 2 + 74
We consider the new divisor 147 and the new remainder 74,and apply the division lemma to get
147 = 74 x 1 + 73
We consider the new divisor 74 and the new remainder 73,and apply the division lemma to get
74 = 73 x 1 + 1
We consider the new divisor 73 and the new remainder 1,and apply the division lemma to get
73 = 1 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3164 and 2281 is 1
Notice that 1 = HCF(73,1) = HCF(74,73) = HCF(147,74) = HCF(368,147) = HCF(515,368) = HCF(883,515) = HCF(2281,883) = HCF(3164,2281) .
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Frequently Asked Questions on HCF of 3164, 2281 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 3164, 2281?
Answer: HCF of 3164, 2281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3164, 2281 using Euclid's Algorithm?
Answer: For arbitrary numbers 3164, 2281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.