Highest Common Factor of 289, 424, 161, 53 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 289, 424, 161, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 289, 424, 161, 53 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 289, 424, 161, 53 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 289, 424, 161, 53 is 1.
HCF(289, 424, 161, 53) = 1
HCF of 289, 424, 161, 53 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 289, 424, 161, 53 is 1.
Highest Common Factor of 289,424,161,53 is 1
Step 1: Since 424 > 289, we apply the division lemma to 424 and 289, to get
424 = 289 x 1 + 135
Step 2: Since the reminder 289 ≠ 0, we apply division lemma to 135 and 289, to get
289 = 135 x 2 + 19
Step 3: We consider the new divisor 135 and the new remainder 19, and apply the division lemma to get
135 = 19 x 7 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 289 and 424 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(135,19) = HCF(289,135) = HCF(424,289) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 161 > 1, we apply the division lemma to 161 and 1, to get
161 = 1 x 161 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 161 is 1
Notice that 1 = HCF(161,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53 > 1, we apply the division lemma to 53 and 1, to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53 is 1
Notice that 1 = HCF(53,1) .
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Frequently Asked Questions on HCF of 289, 424, 161, 53 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 289, 424, 161, 53?
Answer: HCF of 289, 424, 161, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 289, 424, 161, 53 using Euclid's Algorithm?
Answer: For arbitrary numbers 289, 424, 161, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.