Highest Common Factor of 1369, 8624, 44321 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 1369, 8624, 44321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1369, 8624, 44321 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 1369, 8624, 44321 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 1369, 8624, 44321 is 1.
HCF(1369, 8624, 44321) = 1
HCF of 1369, 8624, 44321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1369, 8624, 44321 is 1.
Highest Common Factor of 1369,8624,44321 is 1
Step 1: Since 8624 > 1369, we apply the division lemma to 8624 and 1369, to get
8624 = 1369 x 6 + 410
Step 2: Since the reminder 1369 ≠ 0, we apply division lemma to 410 and 1369, to get
1369 = 410 x 3 + 139
Step 3: We consider the new divisor 410 and the new remainder 139, and apply the division lemma to get
410 = 139 x 2 + 132
We consider the new divisor 139 and the new remainder 132,and apply the division lemma to get
139 = 132 x 1 + 7
We consider the new divisor 132 and the new remainder 7,and apply the division lemma to get
132 = 7 x 18 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1369 and 8624 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(132,7) = HCF(139,132) = HCF(410,139) = HCF(1369,410) = HCF(8624,1369) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44321 > 1, we apply the division lemma to 44321 and 1, to get
44321 = 1 x 44321 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44321 is 1
Notice that 1 = HCF(44321,1) .
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Frequently Asked Questions on HCF of 1369, 8624, 44321 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 1369, 8624, 44321?
Answer: HCF of 1369, 8624, 44321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1369, 8624, 44321 using Euclid's Algorithm?
Answer: For arbitrary numbers 1369, 8624, 44321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.