Highest Common Factor of 742, 806, 226 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 742, 806, 226 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 742, 806, 226 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 742, 806, 226 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 742, 806, 226 is 2.
HCF(742, 806, 226) = 2
HCF of 742, 806, 226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 742, 806, 226 is 2.
Highest Common Factor of 742,806,226 is 2
Step 1: Since 806 > 742, we apply the division lemma to 806 and 742, to get
806 = 742 x 1 + 64
Step 2: Since the reminder 742 ≠ 0, we apply division lemma to 64 and 742, to get
742 = 64 x 11 + 38
Step 3: We consider the new divisor 64 and the new remainder 38, and apply the division lemma to get
64 = 38 x 1 + 26
We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get
38 = 26 x 1 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 742 and 806 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(64,38) = HCF(742,64) = HCF(806,742) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 226 > 2, we apply the division lemma to 226 and 2, to get
226 = 2 x 113 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 226 is 2
Notice that 2 = HCF(226,2) .
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Frequently Asked Questions on HCF of 742, 806, 226 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 742, 806, 226?
Answer: HCF of 742, 806, 226 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 742, 806, 226 using Euclid's Algorithm?
Answer: For arbitrary numbers 742, 806, 226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.