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 835, 588, 728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 835, 588, 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 835, 588, 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 835, 588, 728 is 1.
HCF(835, 588, 728) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 835, 588, 728 is 1.
Step 1: Since 835 > 588, we apply the division lemma to 835 and 588, to get
835 = 588 x 1 + 247
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 247 and 588, to get
588 = 247 x 2 + 94
Step 3: We consider the new divisor 247 and the new remainder 94, and apply the division lemma to get
247 = 94 x 2 + 59
We consider the new divisor 94 and the new remainder 59,and apply the division lemma to get
94 = 59 x 1 + 35
We consider the new divisor 59 and the new remainder 35,and apply the division lemma to get
59 = 35 x 1 + 24
We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get
35 = 24 x 1 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 588 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(59,35) = HCF(94,59) = HCF(247,94) = HCF(588,247) = HCF(835,588) .
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 835, 588, 728?
Answer: HCF of 835, 588, 728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 835, 588, 728 using Euclid's Algorithm?
Answer: For arbitrary numbers 835, 588, 728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.