Highest Common Factor of 339, 496, 328, 31 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 339, 496, 328, 31 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 339, 496, 328, 31 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 339, 496, 328, 31 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 339, 496, 328, 31 is 1.
HCF(339, 496, 328, 31) = 1
HCF of 339, 496, 328, 31 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 339, 496, 328, 31 is 1.
Highest Common Factor of 339,496,328,31 is 1
Step 1: Since 496 > 339, we apply the division lemma to 496 and 339, to get
496 = 339 x 1 + 157
Step 2: Since the reminder 339 ≠ 0, we apply division lemma to 157 and 339, to get
339 = 157 x 2 + 25
Step 3: We consider the new divisor 157 and the new remainder 25, and apply the division lemma to get
157 = 25 x 6 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 339 and 496 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(157,25) = HCF(339,157) = HCF(496,339) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 31 > 1, we apply the division lemma to 31 and 1, to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31 is 1
Notice that 1 = HCF(31,1) .
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Frequently Asked Questions on HCF of 339, 496, 328, 31 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 339, 496, 328, 31?
Answer: HCF of 339, 496, 328, 31 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 339, 496, 328, 31 using Euclid's Algorithm?
Answer: For arbitrary numbers 339, 496, 328, 31 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.