Highest Common Factor of 8276, 3527 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 8276, 3527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8276, 3527 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 8276, 3527 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 8276, 3527 is 1.
HCF(8276, 3527) = 1
HCF of 8276, 3527 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8276, 3527 is 1.
Highest Common Factor of 8276,3527 is 1
Step 1: Since 8276 > 3527, we apply the division lemma to 8276 and 3527, to get
8276 = 3527 x 2 + 1222
Step 2: Since the reminder 3527 ≠ 0, we apply division lemma to 1222 and 3527, to get
3527 = 1222 x 2 + 1083
Step 3: We consider the new divisor 1222 and the new remainder 1083, and apply the division lemma to get
1222 = 1083 x 1 + 139
We consider the new divisor 1083 and the new remainder 139,and apply the division lemma to get
1083 = 139 x 7 + 110
We consider the new divisor 139 and the new remainder 110,and apply the division lemma to get
139 = 110 x 1 + 29
We consider the new divisor 110 and the new remainder 29,and apply the division lemma to get
110 = 29 x 3 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8276 and 3527 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(110,29) = HCF(139,110) = HCF(1083,139) = HCF(1222,1083) = HCF(3527,1222) = HCF(8276,3527) .
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Frequently Asked Questions on HCF of 8276, 3527 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 8276, 3527?
Answer: HCF of 8276, 3527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8276, 3527 using Euclid's Algorithm?
Answer: For arbitrary numbers 8276, 3527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.