Highest Common Factor of 566, 774, 808 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 566, 774, 808 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 566, 774, 808 is 2 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 566, 774, 808 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 566, 774, 808 is 2.
HCF(566, 774, 808) = 2
HCF of 566, 774, 808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 566, 774, 808 is 2.
Highest Common Factor of 566,774,808 is 2
Step 1: Since 774 > 566, we apply the division lemma to 774 and 566, to get
774 = 566 x 1 + 208
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 208 and 566, to get
566 = 208 x 2 + 150
Step 3: We consider the new divisor 208 and the new remainder 150, and apply the division lemma to get
208 = 150 x 1 + 58
We consider the new divisor 150 and the new remainder 58,and apply the division lemma to get
150 = 58 x 2 + 34
We consider the new divisor 58 and the new remainder 34,and apply the division lemma to get
58 = 34 x 1 + 24
We consider the new divisor 34 and the new remainder 24,and apply the division lemma to get
34 = 24 x 1 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 566 and 774 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(34,24) = HCF(58,34) = HCF(150,58) = HCF(208,150) = HCF(566,208) = HCF(774,566) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 808 > 2, we apply the division lemma to 808 and 2, to get
808 = 2 x 404 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 808 is 2
Notice that 2 = HCF(808,2) .
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Frequently Asked Questions on HCF of 566, 774, 808 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 566, 774, 808?
Answer: HCF of 566, 774, 808 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 566, 774, 808 using Euclid's Algorithm?
Answer: For arbitrary numbers 566, 774, 808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
