Highest Common Factor of 1219, 5647 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 1219, 5647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1219, 5647 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 1219, 5647 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 1219, 5647 is 1.
HCF(1219, 5647) = 1
HCF of 1219, 5647 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1219, 5647 is 1.
Highest Common Factor of 1219,5647 is 1
Step 1: Since 5647 > 1219, we apply the division lemma to 5647 and 1219, to get
5647 = 1219 x 4 + 771
Step 2: Since the reminder 1219 ≠ 0, we apply division lemma to 771 and 1219, to get
1219 = 771 x 1 + 448
Step 3: We consider the new divisor 771 and the new remainder 448, and apply the division lemma to get
771 = 448 x 1 + 323
We consider the new divisor 448 and the new remainder 323,and apply the division lemma to get
448 = 323 x 1 + 125
We consider the new divisor 323 and the new remainder 125,and apply the division lemma to get
323 = 125 x 2 + 73
We consider the new divisor 125 and the new remainder 73,and apply the division lemma to get
125 = 73 x 1 + 52
We consider the new divisor 73 and the new remainder 52,and apply the division lemma to get
73 = 52 x 1 + 21
We consider the new divisor 52 and the new remainder 21,and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1219 and 5647 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(73,52) = HCF(125,73) = HCF(323,125) = HCF(448,323) = HCF(771,448) = HCF(1219,771) = HCF(5647,1219) .
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Frequently Asked Questions on HCF of 1219, 5647 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 1219, 5647?
Answer: HCF of 1219, 5647 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1219, 5647 using Euclid's Algorithm?
Answer: For arbitrary numbers 1219, 5647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.