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 743, 531, 441, 68 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 743, 531, 441, 68 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 743, 531, 441, 68 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 743, 531, 441, 68 is 1.
HCF(743, 531, 441, 68) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 743, 531, 441, 68 is 1.
Step 1: Since 743 > 531, we apply the division lemma to 743 and 531, to get
743 = 531 x 1 + 212
Step 2: Since the reminder 531 ≠ 0, we apply division lemma to 212 and 531, to get
531 = 212 x 2 + 107
Step 3: We consider the new divisor 212 and the new remainder 107, and apply the division lemma to get
212 = 107 x 1 + 105
We consider the new divisor 107 and the new remainder 105,and apply the division lemma to get
107 = 105 x 1 + 2
We consider the new divisor 105 and the new remainder 2,and apply the division lemma to get
105 = 2 x 52 + 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 743 and 531 is 1
Notice that 1 = HCF(2,1) = HCF(105,2) = HCF(107,105) = HCF(212,107) = HCF(531,212) = HCF(743,531) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 1, we apply the division lemma to 441 and 1, to get
441 = 1 x 441 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 441 is 1
Notice that 1 = HCF(441,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68 > 1, we apply the division lemma to 68 and 1, to get
68 = 1 x 68 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68 is 1
Notice that 1 = HCF(68,1) .
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 743, 531, 441, 68?
Answer: HCF of 743, 531, 441, 68 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 743, 531, 441, 68 using Euclid's Algorithm?
Answer: For arbitrary numbers 743, 531, 441, 68 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.