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 772, 894, 511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 894, 511 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 772, 894, 511 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 772, 894, 511 is 1.
HCF(772, 894, 511) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 894, 511 is 1.
Step 1: Since 894 > 772, we apply the division lemma to 894 and 772, to get
894 = 772 x 1 + 122
Step 2: Since the reminder 772 ≠ 0, we apply division lemma to 122 and 772, to get
772 = 122 x 6 + 40
Step 3: We consider the new divisor 122 and the new remainder 40, and apply the division lemma to get
122 = 40 x 3 + 2
We consider the new divisor 40 and the new remainder 2, and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 772 and 894 is 2
Notice that 2 = HCF(40,2) = HCF(122,40) = HCF(772,122) = HCF(894,772) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 511 > 2, we apply the division lemma to 511 and 2, to get
511 = 2 x 255 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 511 is 1
Notice that 1 = HCF(2,1) = HCF(511,2) .
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 772, 894, 511?
Answer: HCF of 772, 894, 511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 894, 511 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 894, 511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.