Highest Common Factor of 567, 814, 773 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 567, 814, 773 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 814, 773 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 567, 814, 773 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 567, 814, 773 is 1.
HCF(567, 814, 773) = 1
HCF of 567, 814, 773 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 814, 773 is 1.
Highest Common Factor of 567,814,773 is 1
Step 1: Since 814 > 567, we apply the division lemma to 814 and 567, to get
814 = 567 x 1 + 247
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 247 and 567, to get
567 = 247 x 2 + 73
Step 3: We consider the new divisor 247 and the new remainder 73, and apply the division lemma to get
247 = 73 x 3 + 28
We consider the new divisor 73 and the new remainder 28,and apply the division lemma to get
73 = 28 x 2 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 567 and 814 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(73,28) = HCF(247,73) = HCF(567,247) = HCF(814,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 773 > 1, we apply the division lemma to 773 and 1, to get
773 = 1 x 773 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 773 is 1
Notice that 1 = HCF(773,1) .
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Frequently Asked Questions on HCF of 567, 814, 773 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 567, 814, 773?
Answer: HCF of 567, 814, 773 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 814, 773 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 814, 773 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.