Highest Common Factor of 8176, 4255 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 8176, 4255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8176, 4255 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 8176, 4255 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 8176, 4255 is 1.
HCF(8176, 4255) = 1
HCF of 8176, 4255 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8176, 4255 is 1.
Highest Common Factor of 8176,4255 is 1
Step 1: Since 8176 > 4255, we apply the division lemma to 8176 and 4255, to get
8176 = 4255 x 1 + 3921
Step 2: Since the reminder 4255 ≠ 0, we apply division lemma to 3921 and 4255, to get
4255 = 3921 x 1 + 334
Step 3: We consider the new divisor 3921 and the new remainder 334, and apply the division lemma to get
3921 = 334 x 11 + 247
We consider the new divisor 334 and the new remainder 247,and apply the division lemma to get
334 = 247 x 1 + 87
We consider the new divisor 247 and the new remainder 87,and apply the division lemma to get
247 = 87 x 2 + 73
We consider the new divisor 87 and the new remainder 73,and apply the division lemma to get
87 = 73 x 1 + 14
We consider the new divisor 73 and the new remainder 14,and apply the division lemma to get
73 = 14 x 5 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8176 and 4255 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(73,14) = HCF(87,73) = HCF(247,87) = HCF(334,247) = HCF(3921,334) = HCF(4255,3921) = HCF(8176,4255) .
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Frequently Asked Questions on HCF of 8176, 4255 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 8176, 4255?
Answer: HCF of 8176, 4255 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8176, 4255 using Euclid's Algorithm?
Answer: For arbitrary numbers 8176, 4255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.