Highest Common Factor of 588, 703, 235, 636 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 588, 703, 235, 636 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 703, 235, 636 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 588, 703, 235, 636 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 588, 703, 235, 636 is 1.
HCF(588, 703, 235, 636) = 1
HCF of 588, 703, 235, 636 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 703, 235, 636 is 1.
Highest Common Factor of 588,703,235,636 is 1
Step 1: Since 703 > 588, we apply the division lemma to 703 and 588, to get
703 = 588 x 1 + 115
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 115 and 588, to get
588 = 115 x 5 + 13
Step 3: We consider the new divisor 115 and the new remainder 13, and apply the division lemma to get
115 = 13 x 8 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 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 588 and 703 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(115,13) = HCF(588,115) = HCF(703,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 235 > 1, we apply the division lemma to 235 and 1, to get
235 = 1 x 235 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 235 is 1
Notice that 1 = HCF(235,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 636 > 1, we apply the division lemma to 636 and 1, to get
636 = 1 x 636 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 636 is 1
Notice that 1 = HCF(636,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 588, 703, 235, 636 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 588, 703, 235, 636?
Answer: HCF of 588, 703, 235, 636 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 703, 235, 636 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 703, 235, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.