Highest Common Factor of 5006, 2900 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 5006, 2900 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5006, 2900 is 2 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 5006, 2900 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 5006, 2900 is 2.
HCF(5006, 2900) = 2
HCF of 5006, 2900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5006, 2900 is 2.
Highest Common Factor of 5006,2900 is 2
Step 1: Since 5006 > 2900, we apply the division lemma to 5006 and 2900, to get
5006 = 2900 x 1 + 2106
Step 2: Since the reminder 2900 ≠ 0, we apply division lemma to 2106 and 2900, to get
2900 = 2106 x 1 + 794
Step 3: We consider the new divisor 2106 and the new remainder 794, and apply the division lemma to get
2106 = 794 x 2 + 518
We consider the new divisor 794 and the new remainder 518,and apply the division lemma to get
794 = 518 x 1 + 276
We consider the new divisor 518 and the new remainder 276,and apply the division lemma to get
518 = 276 x 1 + 242
We consider the new divisor 276 and the new remainder 242,and apply the division lemma to get
276 = 242 x 1 + 34
We consider the new divisor 242 and the new remainder 34,and apply the division lemma to get
242 = 34 x 7 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5006 and 2900 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(242,34) = HCF(276,242) = HCF(518,276) = HCF(794,518) = HCF(2106,794) = HCF(2900,2106) = HCF(5006,2900) .
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Frequently Asked Questions on HCF of 5006, 2900 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 5006, 2900?
Answer: HCF of 5006, 2900 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5006, 2900 using Euclid's Algorithm?
Answer: For arbitrary numbers 5006, 2900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.