Highest Common Factor of 2984, 6479, 88158 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 2984, 6479, 88158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2984, 6479, 88158 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 2984, 6479, 88158 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 2984, 6479, 88158 is 1.
HCF(2984, 6479, 88158) = 1
HCF of 2984, 6479, 88158 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2984, 6479, 88158 is 1.
Highest Common Factor of 2984,6479,88158 is 1
Step 1: Since 6479 > 2984, we apply the division lemma to 6479 and 2984, to get
6479 = 2984 x 2 + 511
Step 2: Since the reminder 2984 ≠ 0, we apply division lemma to 511 and 2984, to get
2984 = 511 x 5 + 429
Step 3: We consider the new divisor 511 and the new remainder 429, and apply the division lemma to get
511 = 429 x 1 + 82
We consider the new divisor 429 and the new remainder 82,and apply the division lemma to get
429 = 82 x 5 + 19
We consider the new divisor 82 and the new remainder 19,and apply the division lemma to get
82 = 19 x 4 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 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 2984 and 6479 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(82,19) = HCF(429,82) = HCF(511,429) = HCF(2984,511) = HCF(6479,2984) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88158 > 1, we apply the division lemma to 88158 and 1, to get
88158 = 1 x 88158 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88158 is 1
Notice that 1 = HCF(88158,1) .
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Frequently Asked Questions on HCF of 2984, 6479, 88158 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 2984, 6479, 88158?
Answer: HCF of 2984, 6479, 88158 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2984, 6479, 88158 using Euclid's Algorithm?
Answer: For arbitrary numbers 2984, 6479, 88158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
