Highest Common Factor of 8132, 7363 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 8132, 7363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8132, 7363 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 8132, 7363 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 8132, 7363 is 1.
HCF(8132, 7363) = 1
HCF of 8132, 7363 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8132, 7363 is 1.
Highest Common Factor of 8132,7363 is 1
Step 1: Since 8132 > 7363, we apply the division lemma to 8132 and 7363, to get
8132 = 7363 x 1 + 769
Step 2: Since the reminder 7363 ≠ 0, we apply division lemma to 769 and 7363, to get
7363 = 769 x 9 + 442
Step 3: We consider the new divisor 769 and the new remainder 442, and apply the division lemma to get
769 = 442 x 1 + 327
We consider the new divisor 442 and the new remainder 327,and apply the division lemma to get
442 = 327 x 1 + 115
We consider the new divisor 327 and the new remainder 115,and apply the division lemma to get
327 = 115 x 2 + 97
We consider the new divisor 115 and the new remainder 97,and apply the division lemma to get
115 = 97 x 1 + 18
We consider the new divisor 97 and the new remainder 18,and apply the division lemma to get
97 = 18 x 5 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8132 and 7363 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(97,18) = HCF(115,97) = HCF(327,115) = HCF(442,327) = HCF(769,442) = HCF(7363,769) = HCF(8132,7363) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8132, 7363 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 8132, 7363?
Answer: HCF of 8132, 7363 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8132, 7363 using Euclid's Algorithm?
Answer: For arbitrary numbers 8132, 7363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.