Highest Common Factor of 319, 197, 29, 521 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 319, 197, 29, 521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 319, 197, 29, 521 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 319, 197, 29, 521 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 319, 197, 29, 521 is 1.
HCF(319, 197, 29, 521) = 1
HCF of 319, 197, 29, 521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 319, 197, 29, 521 is 1.
Highest Common Factor of 319,197,29,521 is 1
Step 1: Since 319 > 197, we apply the division lemma to 319 and 197, to get
319 = 197 x 1 + 122
Step 2: Since the reminder 197 ≠ 0, we apply division lemma to 122 and 197, to get
197 = 122 x 1 + 75
Step 3: We consider the new divisor 122 and the new remainder 75, and apply the division lemma to get
122 = 75 x 1 + 47
We consider the new divisor 75 and the new remainder 47,and apply the division lemma to get
75 = 47 x 1 + 28
We consider the new divisor 47 and the new remainder 28,and apply the division lemma to get
47 = 28 x 1 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 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 319 and 197 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(47,28) = HCF(75,47) = HCF(122,75) = HCF(197,122) = HCF(319,197) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1
Notice that 1 = HCF(29,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 521 > 1, we apply the division lemma to 521 and 1, to get
521 = 1 x 521 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 521 is 1
Notice that 1 = HCF(521,1) .
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Frequently Asked Questions on HCF of 319, 197, 29, 521 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 319, 197, 29, 521?
Answer: HCF of 319, 197, 29, 521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 319, 197, 29, 521 using Euclid's Algorithm?
Answer: For arbitrary numbers 319, 197, 29, 521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.