Highest Common Factor of 715, 497 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 715, 497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 715, 497 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 715, 497 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 715, 497 is 1.
HCF(715, 497) = 1
HCF of 715, 497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 715, 497 is 1.
Highest Common Factor of 715,497 is 1
Step 1: Since 715 > 497, we apply the division lemma to 715 and 497, to get
715 = 497 x 1 + 218
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 218 and 497, to get
497 = 218 x 2 + 61
Step 3: We consider the new divisor 218 and the new remainder 61, and apply the division lemma to get
218 = 61 x 3 + 35
We consider the new divisor 61 and the new remainder 35,and apply the division lemma to get
61 = 35 x 1 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 715 and 497 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(61,35) = HCF(218,61) = HCF(497,218) = HCF(715,497) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 715, 497 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 715, 497?
Answer: HCF of 715, 497 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 715, 497 using Euclid's Algorithm?
Answer: For arbitrary numbers 715, 497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.