Highest Common Factor of 319, 178, 893 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, 178, 893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 319, 178, 893 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, 178, 893 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, 178, 893 is 1.
HCF(319, 178, 893) = 1
HCF of 319, 178, 893 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, 178, 893 is 1.
Highest Common Factor of 319,178,893 is 1
Step 1: Since 319 > 178, we apply the division lemma to 319 and 178, to get
319 = 178 x 1 + 141
Step 2: Since the reminder 178 ≠ 0, we apply division lemma to 141 and 178, to get
178 = 141 x 1 + 37
Step 3: We consider the new divisor 141 and the new remainder 37, and apply the division lemma to get
141 = 37 x 3 + 30
We consider the new divisor 37 and the new remainder 30,and apply the division lemma to get
37 = 30 x 1 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 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 178 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(141,37) = HCF(178,141) = HCF(319,178) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 893 > 1, we apply the division lemma to 893 and 1, to get
893 = 1 x 893 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 893 is 1
Notice that 1 = HCF(893,1) .
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Frequently Asked Questions on HCF of 319, 178, 893 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, 178, 893?
Answer: HCF of 319, 178, 893 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 319, 178, 893 using Euclid's Algorithm?
Answer: For arbitrary numbers 319, 178, 893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.