Highest Common Factor of 6931, 1430, 57587 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 6931, 1430, 57587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6931, 1430, 57587 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 6931, 1430, 57587 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 6931, 1430, 57587 is 1.
HCF(6931, 1430, 57587) = 1
HCF of 6931, 1430, 57587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6931, 1430, 57587 is 1.
Highest Common Factor of 6931,1430,57587 is 1
Step 1: Since 6931 > 1430, we apply the division lemma to 6931 and 1430, to get
6931 = 1430 x 4 + 1211
Step 2: Since the reminder 1430 ≠ 0, we apply division lemma to 1211 and 1430, to get
1430 = 1211 x 1 + 219
Step 3: We consider the new divisor 1211 and the new remainder 219, and apply the division lemma to get
1211 = 219 x 5 + 116
We consider the new divisor 219 and the new remainder 116,and apply the division lemma to get
219 = 116 x 1 + 103
We consider the new divisor 116 and the new remainder 103,and apply the division lemma to get
116 = 103 x 1 + 13
We consider the new divisor 103 and the new remainder 13,and apply the division lemma to get
103 = 13 x 7 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6931 and 1430 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(103,13) = HCF(116,103) = HCF(219,116) = HCF(1211,219) = HCF(1430,1211) = HCF(6931,1430) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57587 > 1, we apply the division lemma to 57587 and 1, to get
57587 = 1 x 57587 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57587 is 1
Notice that 1 = HCF(57587,1) .
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Frequently Asked Questions on HCF of 6931, 1430, 57587 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 6931, 1430, 57587?
Answer: HCF of 6931, 1430, 57587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6931, 1430, 57587 using Euclid's Algorithm?
Answer: For arbitrary numbers 6931, 1430, 57587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
