Highest Common Factor of 716, 395, 170 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 716, 395, 170 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 716, 395, 170 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 716, 395, 170 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 716, 395, 170 is 1.
HCF(716, 395, 170) = 1
HCF of 716, 395, 170 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 716, 395, 170 is 1.
Highest Common Factor of 716,395,170 is 1
Step 1: Since 716 > 395, we apply the division lemma to 716 and 395, to get
716 = 395 x 1 + 321
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 321 and 395, to get
395 = 321 x 1 + 74
Step 3: We consider the new divisor 321 and the new remainder 74, and apply the division lemma to get
321 = 74 x 4 + 25
We consider the new divisor 74 and the new remainder 25,and apply the division lemma to get
74 = 25 x 2 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 716 and 395 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(74,25) = HCF(321,74) = HCF(395,321) = HCF(716,395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 170 > 1, we apply the division lemma to 170 and 1, to get
170 = 1 x 170 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 170 is 1
Notice that 1 = HCF(170,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 716, 395, 170 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 716, 395, 170?
Answer: HCF of 716, 395, 170 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 716, 395, 170 using Euclid's Algorithm?
Answer: For arbitrary numbers 716, 395, 170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.