Highest Common Factor of 394, 697, 86 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 394, 697, 86 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 394, 697, 86 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 394, 697, 86 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 394, 697, 86 is 1.
HCF(394, 697, 86) = 1
HCF of 394, 697, 86 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 394, 697, 86 is 1.
Highest Common Factor of 394,697,86 is 1
Step 1: Since 697 > 394, we apply the division lemma to 697 and 394, to get
697 = 394 x 1 + 303
Step 2: Since the reminder 394 ≠ 0, we apply division lemma to 303 and 394, to get
394 = 303 x 1 + 91
Step 3: We consider the new divisor 303 and the new remainder 91, and apply the division lemma to get
303 = 91 x 3 + 30
We consider the new divisor 91 and the new remainder 30,and apply the division lemma to get
91 = 30 x 3 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 394 and 697 is 1
Notice that 1 = HCF(30,1) = HCF(91,30) = HCF(303,91) = HCF(394,303) = HCF(697,394) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86 > 1, we apply the division lemma to 86 and 1, to get
86 = 1 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86 is 1
Notice that 1 = HCF(86,1) .
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Frequently Asked Questions on HCF of 394, 697, 86 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 394, 697, 86?
Answer: HCF of 394, 697, 86 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 394, 697, 86 using Euclid's Algorithm?
Answer: For arbitrary numbers 394, 697, 86 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.