Highest Common Factor of 816, 1173, 4564 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 816, 1173, 4564 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 816, 1173, 4564 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 816, 1173, 4564 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 816, 1173, 4564 is 1.
HCF(816, 1173, 4564) = 1
HCF of 816, 1173, 4564 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 816, 1173, 4564 is 1.
Highest Common Factor of 816,1173,4564 is 1
Step 1: Since 1173 > 816, we apply the division lemma to 1173 and 816, to get
1173 = 816 x 1 + 357
Step 2: Since the reminder 816 ≠ 0, we apply division lemma to 357 and 816, to get
816 = 357 x 2 + 102
Step 3: We consider the new divisor 357 and the new remainder 102, and apply the division lemma to get
357 = 102 x 3 + 51
We consider the new divisor 102 and the new remainder 51, and apply the division lemma to get
102 = 51 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 51, the HCF of 816 and 1173 is 51
Notice that 51 = HCF(102,51) = HCF(357,102) = HCF(816,357) = HCF(1173,816) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4564 > 51, we apply the division lemma to 4564 and 51, to get
4564 = 51 x 89 + 25
Step 2: Since the reminder 51 ≠ 0, we apply division lemma to 25 and 51, to get
51 = 25 x 2 + 1
Step 3: We consider the new divisor 25 and the new remainder 1, and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 51 and 4564 is 1
Notice that 1 = HCF(25,1) = HCF(51,25) = HCF(4564,51) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 816, 1173, 4564 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 816, 1173, 4564?
Answer: HCF of 816, 1173, 4564 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 816, 1173, 4564 using Euclid's Algorithm?
Answer: For arbitrary numbers 816, 1173, 4564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.