Highest Common Factor of 319, 934, 288, 57 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, 934, 288, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 319, 934, 288, 57 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, 934, 288, 57 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, 934, 288, 57 is 1.
HCF(319, 934, 288, 57) = 1
HCF of 319, 934, 288, 57 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, 934, 288, 57 is 1.
Highest Common Factor of 319,934,288,57 is 1
Step 1: Since 934 > 319, we apply the division lemma to 934 and 319, to get
934 = 319 x 2 + 296
Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 296 and 319, to get
319 = 296 x 1 + 23
Step 3: We consider the new divisor 296 and the new remainder 23, and apply the division lemma to get
296 = 23 x 12 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 934 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(296,23) = HCF(319,296) = HCF(934,319) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 288 > 1, we apply the division lemma to 288 and 1, to get
288 = 1 x 288 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 288 is 1
Notice that 1 = HCF(288,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1
Notice that 1 = HCF(57,1) .
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Frequently Asked Questions on HCF of 319, 934, 288, 57 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, 934, 288, 57?
Answer: HCF of 319, 934, 288, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 319, 934, 288, 57 using Euclid's Algorithm?
Answer: For arbitrary numbers 319, 934, 288, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.