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 717, 434, 728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 717, 434, 728 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 717, 434, 728 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 717, 434, 728 is 1.
HCF(717, 434, 728) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 717, 434, 728 is 1.
Step 1: Since 717 > 434, we apply the division lemma to 717 and 434, to get
717 = 434 x 1 + 283
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 283 and 434, to get
434 = 283 x 1 + 151
Step 3: We consider the new divisor 283 and the new remainder 151, and apply the division lemma to get
283 = 151 x 1 + 132
We consider the new divisor 151 and the new remainder 132,and apply the division lemma to get
151 = 132 x 1 + 19
We consider the new divisor 132 and the new remainder 19,and apply the division lemma to get
132 = 19 x 6 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 717 and 434 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(132,19) = HCF(151,132) = HCF(283,151) = HCF(434,283) = HCF(717,434) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 728 > 1, we apply the division lemma to 728 and 1, to get
728 = 1 x 728 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 728 is 1
Notice that 1 = HCF(728,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 717, 434, 728?
Answer: HCF of 717, 434, 728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 717, 434, 728 using Euclid's Algorithm?
Answer: For arbitrary numbers 717, 434, 728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.