Highest Common Factor of 4256, 8281 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 4256, 8281 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4256, 8281 is 7 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 4256, 8281 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 4256, 8281 is 7.
HCF(4256, 8281) = 7
HCF of 4256, 8281 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4256, 8281 is 7.
Highest Common Factor of 4256,8281 is 7
Step 1: Since 8281 > 4256, we apply the division lemma to 8281 and 4256, to get
8281 = 4256 x 1 + 4025
Step 2: Since the reminder 4256 ≠ 0, we apply division lemma to 4025 and 4256, to get
4256 = 4025 x 1 + 231
Step 3: We consider the new divisor 4025 and the new remainder 231, and apply the division lemma to get
4025 = 231 x 17 + 98
We consider the new divisor 231 and the new remainder 98,and apply the division lemma to get
231 = 98 x 2 + 35
We consider the new divisor 98 and the new remainder 35,and apply the division lemma to get
98 = 35 x 2 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4256 and 8281 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(98,35) = HCF(231,98) = HCF(4025,231) = HCF(4256,4025) = HCF(8281,4256) .
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Frequently Asked Questions on HCF of 4256, 8281 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 4256, 8281?
Answer: HCF of 4256, 8281 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4256, 8281 using Euclid's Algorithm?
Answer: For arbitrary numbers 4256, 8281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.