Highest Common Factor of 1309, 1824 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 1309, 1824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1309, 1824 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 1309, 1824 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 1309, 1824 is 1.
HCF(1309, 1824) = 1
HCF of 1309, 1824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1309, 1824 is 1.
Highest Common Factor of 1309,1824 is 1
Step 1: Since 1824 > 1309, we apply the division lemma to 1824 and 1309, to get
1824 = 1309 x 1 + 515
Step 2: Since the reminder 1309 ≠ 0, we apply division lemma to 515 and 1309, to get
1309 = 515 x 2 + 279
Step 3: We consider the new divisor 515 and the new remainder 279, and apply the division lemma to get
515 = 279 x 1 + 236
We consider the new divisor 279 and the new remainder 236,and apply the division lemma to get
279 = 236 x 1 + 43
We consider the new divisor 236 and the new remainder 43,and apply the division lemma to get
236 = 43 x 5 + 21
We consider the new divisor 43 and the new remainder 21,and apply the division lemma to get
43 = 21 x 2 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1309 and 1824 is 1
Notice that 1 = HCF(21,1) = HCF(43,21) = HCF(236,43) = HCF(279,236) = HCF(515,279) = HCF(1309,515) = HCF(1824,1309) .
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Frequently Asked Questions on HCF of 1309, 1824 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 1309, 1824?
Answer: HCF of 1309, 1824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1309, 1824 using Euclid's Algorithm?
Answer: For arbitrary numbers 1309, 1824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.