Highest Common Factor of 359, 9580, 5948 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 359, 9580, 5948 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 359, 9580, 5948 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 359, 9580, 5948 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 359, 9580, 5948 is 1.
HCF(359, 9580, 5948) = 1
HCF of 359, 9580, 5948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 359, 9580, 5948 is 1.
Highest Common Factor of 359,9580,5948 is 1
Step 1: Since 9580 > 359, we apply the division lemma to 9580 and 359, to get
9580 = 359 x 26 + 246
Step 2: Since the reminder 359 ≠ 0, we apply division lemma to 246 and 359, to get
359 = 246 x 1 + 113
Step 3: We consider the new divisor 246 and the new remainder 113, and apply the division lemma to get
246 = 113 x 2 + 20
We consider the new divisor 113 and the new remainder 20,and apply the division lemma to get
113 = 20 x 5 + 13
We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get
20 = 13 x 1 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 359 and 9580 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(113,20) = HCF(246,113) = HCF(359,246) = HCF(9580,359) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5948 > 1, we apply the division lemma to 5948 and 1, to get
5948 = 1 x 5948 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5948 is 1
Notice that 1 = HCF(5948,1) .
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Frequently Asked Questions on HCF of 359, 9580, 5948 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 359, 9580, 5948?
Answer: HCF of 359, 9580, 5948 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 359, 9580, 5948 using Euclid's Algorithm?
Answer: For arbitrary numbers 359, 9580, 5948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.