Highest Common Factor of 824, 2759 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 824, 2759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 2759 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 824, 2759 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 824, 2759 is 1.
HCF(824, 2759) = 1
HCF of 824, 2759 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 824, 2759 is 1.
Highest Common Factor of 824,2759 is 1
Step 1: Since 2759 > 824, we apply the division lemma to 2759 and 824, to get
2759 = 824 x 3 + 287
Step 2: Since the reminder 824 ≠ 0, we apply division lemma to 287 and 824, to get
824 = 287 x 2 + 250
Step 3: We consider the new divisor 287 and the new remainder 250, and apply the division lemma to get
287 = 250 x 1 + 37
We consider the new divisor 250 and the new remainder 37,and apply the division lemma to get
250 = 37 x 6 + 28
We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get
37 = 28 x 1 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 824 and 2759 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(250,37) = HCF(287,250) = HCF(824,287) = HCF(2759,824) .
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Frequently Asked Questions on HCF of 824, 2759 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 824, 2759?
Answer: HCF of 824, 2759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 2759 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 2759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.