Highest Common Factor of 2107, 4751 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 2107, 4751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2107, 4751 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 2107, 4751 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 2107, 4751 is 1.
HCF(2107, 4751) = 1
HCF of 2107, 4751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2107, 4751 is 1.
Highest Common Factor of 2107,4751 is 1
Step 1: Since 4751 > 2107, we apply the division lemma to 4751 and 2107, to get
4751 = 2107 x 2 + 537
Step 2: Since the reminder 2107 ≠ 0, we apply division lemma to 537 and 2107, to get
2107 = 537 x 3 + 496
Step 3: We consider the new divisor 537 and the new remainder 496, and apply the division lemma to get
537 = 496 x 1 + 41
We consider the new divisor 496 and the new remainder 41,and apply the division lemma to get
496 = 41 x 12 + 4
We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get
41 = 4 x 10 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2107 and 4751 is 1
Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(496,41) = HCF(537,496) = HCF(2107,537) = HCF(4751,2107) .
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Frequently Asked Questions on HCF of 2107, 4751 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 2107, 4751?
Answer: HCF of 2107, 4751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2107, 4751 using Euclid's Algorithm?
Answer: For arbitrary numbers 2107, 4751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.