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 763, 327, 394 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 763, 327, 394 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 763, 327, 394 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 763, 327, 394 is 1.
HCF(763, 327, 394) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 763, 327, 394 is 1.
Step 1: Since 763 > 327, we apply the division lemma to 763 and 327, to get
763 = 327 x 2 + 109
Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 109 and 327, to get
327 = 109 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 109, the HCF of 763 and 327 is 109
Notice that 109 = HCF(327,109) = HCF(763,327) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 394 > 109, we apply the division lemma to 394 and 109, to get
394 = 109 x 3 + 67
Step 2: Since the reminder 109 ≠ 0, we apply division lemma to 67 and 109, to get
109 = 67 x 1 + 42
Step 3: We consider the new divisor 67 and the new remainder 42, and apply the division lemma to get
67 = 42 x 1 + 25
We consider the new divisor 42 and the new remainder 25,and apply the division lemma to get
42 = 25 x 1 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 109 and 394 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(42,25) = HCF(67,42) = HCF(109,67) = HCF(394,109) .
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 763, 327, 394?
Answer: HCF of 763, 327, 394 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 763, 327, 394 using Euclid's Algorithm?
Answer: For arbitrary numbers 763, 327, 394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.