Highest Common Factor of 697, 448, 323 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 697, 448, 323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 697, 448, 323 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 697, 448, 323 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 697, 448, 323 is 1.
HCF(697, 448, 323) = 1
HCF of 697, 448, 323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 697, 448, 323 is 1.
Highest Common Factor of 697,448,323 is 1
Step 1: Since 697 > 448, we apply the division lemma to 697 and 448, to get
697 = 448 x 1 + 249
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 249 and 448, to get
448 = 249 x 1 + 199
Step 3: We consider the new divisor 249 and the new remainder 199, and apply the division lemma to get
249 = 199 x 1 + 50
We consider the new divisor 199 and the new remainder 50,and apply the division lemma to get
199 = 50 x 3 + 49
We consider the new divisor 50 and the new remainder 49,and apply the division lemma to get
50 = 49 x 1 + 1
We consider the new divisor 49 and the new remainder 1,and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 697 and 448 is 1
Notice that 1 = HCF(49,1) = HCF(50,49) = HCF(199,50) = HCF(249,199) = HCF(448,249) = HCF(697,448) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 323 > 1, we apply the division lemma to 323 and 1, to get
323 = 1 x 323 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 323 is 1
Notice that 1 = HCF(323,1) .
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Frequently Asked Questions on HCF of 697, 448, 323 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 697, 448, 323?
Answer: HCF of 697, 448, 323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 697, 448, 323 using Euclid's Algorithm?
Answer: For arbitrary numbers 697, 448, 323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.