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 738, 1763, 1044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 738, 1763, 1044 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 738, 1763, 1044 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 738, 1763, 1044 is 1.
HCF(738, 1763, 1044) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 738, 1763, 1044 is 1.
Step 1: Since 1763 > 738, we apply the division lemma to 1763 and 738, to get
1763 = 738 x 2 + 287
Step 2: Since the reminder 738 ≠ 0, we apply division lemma to 287 and 738, to get
738 = 287 x 2 + 164
Step 3: We consider the new divisor 287 and the new remainder 164, and apply the division lemma to get
287 = 164 x 1 + 123
We consider the new divisor 164 and the new remainder 123,and apply the division lemma to get
164 = 123 x 1 + 41
We consider the new divisor 123 and the new remainder 41,and apply the division lemma to get
123 = 41 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 738 and 1763 is 41
Notice that 41 = HCF(123,41) = HCF(164,123) = HCF(287,164) = HCF(738,287) = HCF(1763,738) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1044 > 41, we apply the division lemma to 1044 and 41, to get
1044 = 41 x 25 + 19
Step 2: Since the reminder 41 ≠ 0, we apply division lemma to 19 and 41, to get
41 = 19 x 2 + 3
Step 3: We consider the new divisor 19 and the new remainder 3, and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 41 and 1044 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(1044,41) .
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 738, 1763, 1044?
Answer: HCF of 738, 1763, 1044 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 738, 1763, 1044 using Euclid's Algorithm?
Answer: For arbitrary numbers 738, 1763, 1044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.