Highest Common Factor of 931, 648, 328 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 931, 648, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 931, 648, 328 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 931, 648, 328 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 931, 648, 328 is 1.
HCF(931, 648, 328) = 1
HCF of 931, 648, 328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 931, 648, 328 is 1.
Highest Common Factor of 931,648,328 is 1
Step 1: Since 931 > 648, we apply the division lemma to 931 and 648, to get
931 = 648 x 1 + 283
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 283 and 648, to get
648 = 283 x 2 + 82
Step 3: We consider the new divisor 283 and the new remainder 82, and apply the division lemma to get
283 = 82 x 3 + 37
We consider the new divisor 82 and the new remainder 37,and apply the division lemma to get
82 = 37 x 2 + 8
We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get
37 = 8 x 4 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 931 and 648 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(82,37) = HCF(283,82) = HCF(648,283) = HCF(931,648) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 328 > 1, we apply the division lemma to 328 and 1, to get
328 = 1 x 328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 328 is 1
Notice that 1 = HCF(328,1) .
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Frequently Asked Questions on HCF of 931, 648, 328 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 931, 648, 328?
Answer: HCF of 931, 648, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 931, 648, 328 using Euclid's Algorithm?
Answer: For arbitrary numbers 931, 648, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.