Highest Common Factor of 616, 93473 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 616, 93473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 93473 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 616, 93473 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 616, 93473 is 1.
HCF(616, 93473) = 1
HCF of 616, 93473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 93473 is 1.
Highest Common Factor of 616,93473 is 1
Step 1: Since 93473 > 616, we apply the division lemma to 93473 and 616, to get
93473 = 616 x 151 + 457
Step 2: Since the reminder 616 ≠ 0, we apply division lemma to 457 and 616, to get
616 = 457 x 1 + 159
Step 3: We consider the new divisor 457 and the new remainder 159, and apply the division lemma to get
457 = 159 x 2 + 139
We consider the new divisor 159 and the new remainder 139,and apply the division lemma to get
159 = 139 x 1 + 20
We consider the new divisor 139 and the new remainder 20,and apply the division lemma to get
139 = 20 x 6 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 616 and 93473 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(139,20) = HCF(159,139) = HCF(457,159) = HCF(616,457) = HCF(93473,616) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 616, 93473 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 616, 93473?
Answer: HCF of 616, 93473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 93473 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 93473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.