Highest Common Factor of 1323, 2606, 30965 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 1323, 2606, 30965 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1323, 2606, 30965 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 1323, 2606, 30965 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 1323, 2606, 30965 is 1.
HCF(1323, 2606, 30965) = 1
HCF of 1323, 2606, 30965 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1323, 2606, 30965 is 1.
Highest Common Factor of 1323,2606,30965 is 1
Step 1: Since 2606 > 1323, we apply the division lemma to 2606 and 1323, to get
2606 = 1323 x 1 + 1283
Step 2: Since the reminder 1323 ≠ 0, we apply division lemma to 1283 and 1323, to get
1323 = 1283 x 1 + 40
Step 3: We consider the new divisor 1283 and the new remainder 40, and apply the division lemma to get
1283 = 40 x 32 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1323 and 2606 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(1283,40) = HCF(1323,1283) = HCF(2606,1323) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 30965 > 1, we apply the division lemma to 30965 and 1, to get
30965 = 1 x 30965 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30965 is 1
Notice that 1 = HCF(30965,1) .
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Frequently Asked Questions on HCF of 1323, 2606, 30965 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 1323, 2606, 30965?
Answer: HCF of 1323, 2606, 30965 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1323, 2606, 30965 using Euclid's Algorithm?
Answer: For arbitrary numbers 1323, 2606, 30965 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.