Highest Common Factor of 1291, 1019, 28884 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 1291, 1019, 28884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1291, 1019, 28884 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 1291, 1019, 28884 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 1291, 1019, 28884 is 1.
HCF(1291, 1019, 28884) = 1
HCF of 1291, 1019, 28884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1291, 1019, 28884 is 1.
Highest Common Factor of 1291,1019,28884 is 1
Step 1: Since 1291 > 1019, we apply the division lemma to 1291 and 1019, to get
1291 = 1019 x 1 + 272
Step 2: Since the reminder 1019 ≠ 0, we apply division lemma to 272 and 1019, to get
1019 = 272 x 3 + 203
Step 3: We consider the new divisor 272 and the new remainder 203, and apply the division lemma to get
272 = 203 x 1 + 69
We consider the new divisor 203 and the new remainder 69,and apply the division lemma to get
203 = 69 x 2 + 65
We consider the new divisor 69 and the new remainder 65,and apply the division lemma to get
69 = 65 x 1 + 4
We consider the new divisor 65 and the new remainder 4,and apply the division lemma to get
65 = 4 x 16 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1291 and 1019 is 1
Notice that 1 = HCF(4,1) = HCF(65,4) = HCF(69,65) = HCF(203,69) = HCF(272,203) = HCF(1019,272) = HCF(1291,1019) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28884 > 1, we apply the division lemma to 28884 and 1, to get
28884 = 1 x 28884 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28884 is 1
Notice that 1 = HCF(28884,1) .
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Frequently Asked Questions on HCF of 1291, 1019, 28884 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 1291, 1019, 28884?
Answer: HCF of 1291, 1019, 28884 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1291, 1019, 28884 using Euclid's Algorithm?
Answer: For arbitrary numbers 1291, 1019, 28884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.