Highest Common Factor of 827, 7267, 8592 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 827, 7267, 8592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 827, 7267, 8592 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 827, 7267, 8592 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 827, 7267, 8592 is 1.
HCF(827, 7267, 8592) = 1
HCF of 827, 7267, 8592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 827, 7267, 8592 is 1.
Highest Common Factor of 827,7267,8592 is 1
Step 1: Since 7267 > 827, we apply the division lemma to 7267 and 827, to get
7267 = 827 x 8 + 651
Step 2: Since the reminder 827 ≠ 0, we apply division lemma to 651 and 827, to get
827 = 651 x 1 + 176
Step 3: We consider the new divisor 651 and the new remainder 176, and apply the division lemma to get
651 = 176 x 3 + 123
We consider the new divisor 176 and the new remainder 123,and apply the division lemma to get
176 = 123 x 1 + 53
We consider the new divisor 123 and the new remainder 53,and apply the division lemma to get
123 = 53 x 2 + 17
We consider the new divisor 53 and the new remainder 17,and apply the division lemma to get
53 = 17 x 3 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 827 and 7267 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(53,17) = HCF(123,53) = HCF(176,123) = HCF(651,176) = HCF(827,651) = HCF(7267,827) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8592 > 1, we apply the division lemma to 8592 and 1, to get
8592 = 1 x 8592 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8592 is 1
Notice that 1 = HCF(8592,1) .
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Frequently Asked Questions on HCF of 827, 7267, 8592 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 827, 7267, 8592?
Answer: HCF of 827, 7267, 8592 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 827, 7267, 8592 using Euclid's Algorithm?
Answer: For arbitrary numbers 827, 7267, 8592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.