Highest Common Factor of 256, 906, 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 256, 906, 226 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 256, 906, 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 256, 906, 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 256, 906, 226 is 2.
HCF(256, 906, 226) = 2
HCF of 256, 906, 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 256, 906, 226 is 2.
Highest Common Factor of 256,906,226 is 2
Step 1: Since 906 > 256, we apply the division lemma to 906 and 256, to get
906 = 256 x 3 + 138
Step 2: Since the reminder 256 ≠ 0, we apply division lemma to 138 and 256, to get
256 = 138 x 1 + 118
Step 3: We consider the new divisor 138 and the new remainder 118, and apply the division lemma to get
138 = 118 x 1 + 20
We consider the new divisor 118 and the new remainder 20,and apply the division lemma to get
118 = 20 x 5 + 18
We consider the new divisor 20 and the new remainder 18,and apply the division lemma to get
20 = 18 x 1 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 256 and 906 is 2
Notice that 2 = HCF(18,2) = HCF(20,18) = HCF(118,20) = HCF(138,118) = HCF(256,138) = HCF(906,256) .
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 256, 906, 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 256, 906, 226?
Answer: HCF of 256, 906, 226 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 256, 906, 226 using Euclid's Algorithm?
Answer: For arbitrary numbers 256, 906, 226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.