Highest Common Factor of 319, 817, 904, 353 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, 817, 904, 353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 319, 817, 904, 353 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, 817, 904, 353 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, 817, 904, 353 is 1.
HCF(319, 817, 904, 353) = 1
HCF of 319, 817, 904, 353 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, 817, 904, 353 is 1.
Highest Common Factor of 319,817,904,353 is 1
Step 1: Since 817 > 319, we apply the division lemma to 817 and 319, to get
817 = 319 x 2 + 179
Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 179 and 319, to get
319 = 179 x 1 + 140
Step 3: We consider the new divisor 179 and the new remainder 140, and apply the division lemma to get
179 = 140 x 1 + 39
We consider the new divisor 140 and the new remainder 39,and apply the division lemma to get
140 = 39 x 3 + 23
We consider the new divisor 39 and the new remainder 23,and apply the division lemma to get
39 = 23 x 1 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 319 and 817 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(39,23) = HCF(140,39) = HCF(179,140) = HCF(319,179) = HCF(817,319) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 904 > 1, we apply the division lemma to 904 and 1, to get
904 = 1 x 904 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 904 is 1
Notice that 1 = HCF(904,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 353 > 1, we apply the division lemma to 353 and 1, to get
353 = 1 x 353 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 353 is 1
Notice that 1 = HCF(353,1) .
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Frequently Asked Questions on HCF of 319, 817, 904, 353 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, 817, 904, 353?
Answer: HCF of 319, 817, 904, 353 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 319, 817, 904, 353 using Euclid's Algorithm?
Answer: For arbitrary numbers 319, 817, 904, 353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.