Highest Common Factor of 434, 591, 193 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 434, 591, 193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 434, 591, 193 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 434, 591, 193 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 434, 591, 193 is 1.
HCF(434, 591, 193) = 1
HCF of 434, 591, 193 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 434, 591, 193 is 1.
Highest Common Factor of 434,591,193 is 1
Step 1: Since 591 > 434, we apply the division lemma to 591 and 434, to get
591 = 434 x 1 + 157
Step 2: Since the reminder 434 ≠ 0, we apply division lemma to 157 and 434, to get
434 = 157 x 2 + 120
Step 3: We consider the new divisor 157 and the new remainder 120, and apply the division lemma to get
157 = 120 x 1 + 37
We consider the new divisor 120 and the new remainder 37,and apply the division lemma to get
120 = 37 x 3 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 434 and 591 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(120,37) = HCF(157,120) = HCF(434,157) = HCF(591,434) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 193 > 1, we apply the division lemma to 193 and 1, to get
193 = 1 x 193 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 193 is 1
Notice that 1 = HCF(193,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 434, 591, 193 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 434, 591, 193?
Answer: HCF of 434, 591, 193 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 434, 591, 193 using Euclid's Algorithm?
Answer: For arbitrary numbers 434, 591, 193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.