Highest Common Factor of 322, 15313 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 322, 15313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 322, 15313 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 322, 15313 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 322, 15313 is 1.
HCF(322, 15313) = 1
HCF of 322, 15313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 322, 15313 is 1.
Highest Common Factor of 322,15313 is 1
Step 1: Since 15313 > 322, we apply the division lemma to 15313 and 322, to get
15313 = 322 x 47 + 179
Step 2: Since the reminder 322 ≠ 0, we apply division lemma to 179 and 322, to get
322 = 179 x 1 + 143
Step 3: We consider the new divisor 179 and the new remainder 143, and apply the division lemma to get
179 = 143 x 1 + 36
We consider the new divisor 143 and the new remainder 36,and apply the division lemma to get
143 = 36 x 3 + 35
We consider the new divisor 36 and the new remainder 35,and apply the division lemma to get
36 = 35 x 1 + 1
We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 322 and 15313 is 1
Notice that 1 = HCF(35,1) = HCF(36,35) = HCF(143,36) = HCF(179,143) = HCF(322,179) = HCF(15313,322) .
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Frequently Asked Questions on HCF of 322, 15313 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 322, 15313?
Answer: HCF of 322, 15313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 322, 15313 using Euclid's Algorithm?
Answer: For arbitrary numbers 322, 15313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
