Highest Common Factor of 482, 793 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 482, 793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 482, 793 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 482, 793 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 482, 793 is 1.
HCF(482, 793) = 1
HCF of 482, 793 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 482, 793 is 1.
Highest Common Factor of 482,793 is 1
Step 1: Since 793 > 482, we apply the division lemma to 793 and 482, to get
793 = 482 x 1 + 311
Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 311 and 482, to get
482 = 311 x 1 + 171
Step 3: We consider the new divisor 311 and the new remainder 171, and apply the division lemma to get
311 = 171 x 1 + 140
We consider the new divisor 171 and the new remainder 140,and apply the division lemma to get
171 = 140 x 1 + 31
We consider the new divisor 140 and the new remainder 31,and apply the division lemma to get
140 = 31 x 4 + 16
We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get
31 = 16 x 1 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 482 and 793 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(140,31) = HCF(171,140) = HCF(311,171) = HCF(482,311) = HCF(793,482) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 482, 793 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 482, 793?
Answer: HCF of 482, 793 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 482, 793 using Euclid's Algorithm?
Answer: For arbitrary numbers 482, 793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.