Highest Common Factor of 5948, 6285, 81586 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 5948, 6285, 81586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5948, 6285, 81586 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 5948, 6285, 81586 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 5948, 6285, 81586 is 1.
HCF(5948, 6285, 81586) = 1
HCF of 5948, 6285, 81586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5948, 6285, 81586 is 1.
Highest Common Factor of 5948,6285,81586 is 1
Step 1: Since 6285 > 5948, we apply the division lemma to 6285 and 5948, to get
6285 = 5948 x 1 + 337
Step 2: Since the reminder 5948 ≠ 0, we apply division lemma to 337 and 5948, to get
5948 = 337 x 17 + 219
Step 3: We consider the new divisor 337 and the new remainder 219, and apply the division lemma to get
337 = 219 x 1 + 118
We consider the new divisor 219 and the new remainder 118,and apply the division lemma to get
219 = 118 x 1 + 101
We consider the new divisor 118 and the new remainder 101,and apply the division lemma to get
118 = 101 x 1 + 17
We consider the new divisor 101 and the new remainder 17,and apply the division lemma to get
101 = 17 x 5 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5948 and 6285 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(101,17) = HCF(118,101) = HCF(219,118) = HCF(337,219) = HCF(5948,337) = HCF(6285,5948) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81586 > 1, we apply the division lemma to 81586 and 1, to get
81586 = 1 x 81586 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81586 is 1
Notice that 1 = HCF(81586,1) .
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Frequently Asked Questions on HCF of 5948, 6285, 81586 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 5948, 6285, 81586?
Answer: HCF of 5948, 6285, 81586 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5948, 6285, 81586 using Euclid's Algorithm?
Answer: For arbitrary numbers 5948, 6285, 81586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.