Highest Common Factor of 153, 591, 868 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 153, 591, 868 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 153, 591, 868 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 153, 591, 868 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 153, 591, 868 is 1.
HCF(153, 591, 868) = 1
HCF of 153, 591, 868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 153, 591, 868 is 1.
Highest Common Factor of 153,591,868 is 1
Step 1: Since 591 > 153, we apply the division lemma to 591 and 153, to get
591 = 153 x 3 + 132
Step 2: Since the reminder 153 ≠ 0, we apply division lemma to 132 and 153, to get
153 = 132 x 1 + 21
Step 3: We consider the new divisor 132 and the new remainder 21, and apply the division lemma to get
132 = 21 x 6 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 153 and 591 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(132,21) = HCF(153,132) = HCF(591,153) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 868 > 3, we apply the division lemma to 868 and 3, to get
868 = 3 x 289 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 868 is 1
Notice that 1 = HCF(3,1) = HCF(868,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 153, 591, 868 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 153, 591, 868?
Answer: HCF of 153, 591, 868 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 153, 591, 868 using Euclid's Algorithm?
Answer: For arbitrary numbers 153, 591, 868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.