Highest Common Factor of 2471, 1930 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 2471, 1930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2471, 1930 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 2471, 1930 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 2471, 1930 is 1.
HCF(2471, 1930) = 1
HCF of 2471, 1930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2471, 1930 is 1.
Highest Common Factor of 2471,1930 is 1
Step 1: Since 2471 > 1930, we apply the division lemma to 2471 and 1930, to get
2471 = 1930 x 1 + 541
Step 2: Since the reminder 1930 ≠ 0, we apply division lemma to 541 and 1930, to get
1930 = 541 x 3 + 307
Step 3: We consider the new divisor 541 and the new remainder 307, and apply the division lemma to get
541 = 307 x 1 + 234
We consider the new divisor 307 and the new remainder 234,and apply the division lemma to get
307 = 234 x 1 + 73
We consider the new divisor 234 and the new remainder 73,and apply the division lemma to get
234 = 73 x 3 + 15
We consider the new divisor 73 and the new remainder 15,and apply the division lemma to get
73 = 15 x 4 + 13
We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get
15 = 13 x 1 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2471 and 1930 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(73,15) = HCF(234,73) = HCF(307,234) = HCF(541,307) = HCF(1930,541) = HCF(2471,1930) .
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Frequently Asked Questions on HCF of 2471, 1930 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 2471, 1930?
Answer: HCF of 2471, 1930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2471, 1930 using Euclid's Algorithm?
Answer: For arbitrary numbers 2471, 1930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.