Highest Common Factor of 1802, 8513 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 1802, 8513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1802, 8513 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 1802, 8513 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 1802, 8513 is 1.
HCF(1802, 8513) = 1
HCF of 1802, 8513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1802, 8513 is 1.
Highest Common Factor of 1802,8513 is 1
Step 1: Since 8513 > 1802, we apply the division lemma to 8513 and 1802, to get
8513 = 1802 x 4 + 1305
Step 2: Since the reminder 1802 ≠ 0, we apply division lemma to 1305 and 1802, to get
1802 = 1305 x 1 + 497
Step 3: We consider the new divisor 1305 and the new remainder 497, and apply the division lemma to get
1305 = 497 x 2 + 311
We consider the new divisor 497 and the new remainder 311,and apply the division lemma to get
497 = 311 x 1 + 186
We consider the new divisor 311 and the new remainder 186,and apply the division lemma to get
311 = 186 x 1 + 125
We consider the new divisor 186 and the new remainder 125,and apply the division lemma to get
186 = 125 x 1 + 61
We consider the new divisor 125 and the new remainder 61,and apply the division lemma to get
125 = 61 x 2 + 3
We consider the new divisor 61 and the new remainder 3,and apply the division lemma to get
61 = 3 x 20 + 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 1802 and 8513 is 1
Notice that 1 = HCF(3,1) = HCF(61,3) = HCF(125,61) = HCF(186,125) = HCF(311,186) = HCF(497,311) = HCF(1305,497) = HCF(1802,1305) = HCF(8513,1802) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1802, 8513 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 1802, 8513?
Answer: HCF of 1802, 8513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1802, 8513 using Euclid's Algorithm?
Answer: For arbitrary numbers 1802, 8513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.