Highest Common Factor of 494, 573, 21, 156 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 494, 573, 21, 156 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 494, 573, 21, 156 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 494, 573, 21, 156 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 494, 573, 21, 156 is 1.
HCF(494, 573, 21, 156) = 1
HCF of 494, 573, 21, 156 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 494, 573, 21, 156 is 1.
Highest Common Factor of 494,573,21,156 is 1
Step 1: Since 573 > 494, we apply the division lemma to 573 and 494, to get
573 = 494 x 1 + 79
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 79 and 494, to get
494 = 79 x 6 + 20
Step 3: We consider the new divisor 79 and the new remainder 20, and apply the division lemma to get
79 = 20 x 3 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 494 and 573 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(79,20) = HCF(494,79) = HCF(573,494) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 21 > 1, we apply the division lemma to 21 and 1, to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21 is 1
Notice that 1 = HCF(21,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 156 > 1, we apply the division lemma to 156 and 1, to get
156 = 1 x 156 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 156 is 1
Notice that 1 = HCF(156,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 494, 573, 21, 156 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 494, 573, 21, 156?
Answer: HCF of 494, 573, 21, 156 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 494, 573, 21, 156 using Euclid's Algorithm?
Answer: For arbitrary numbers 494, 573, 21, 156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.