Highest Common Factor of 5095, 2006 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 5095, 2006 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5095, 2006 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 5095, 2006 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 5095, 2006 is 1.
HCF(5095, 2006) = 1
HCF of 5095, 2006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5095, 2006 is 1.
Highest Common Factor of 5095,2006 is 1
Step 1: Since 5095 > 2006, we apply the division lemma to 5095 and 2006, to get
5095 = 2006 x 2 + 1083
Step 2: Since the reminder 2006 ≠ 0, we apply division lemma to 1083 and 2006, to get
2006 = 1083 x 1 + 923
Step 3: We consider the new divisor 1083 and the new remainder 923, and apply the division lemma to get
1083 = 923 x 1 + 160
We consider the new divisor 923 and the new remainder 160,and apply the division lemma to get
923 = 160 x 5 + 123
We consider the new divisor 160 and the new remainder 123,and apply the division lemma to get
160 = 123 x 1 + 37
We consider the new divisor 123 and the new remainder 37,and apply the division lemma to get
123 = 37 x 3 + 12
We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get
37 = 12 x 3 + 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 5095 and 2006 is 1
Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(123,37) = HCF(160,123) = HCF(923,160) = HCF(1083,923) = HCF(2006,1083) = HCF(5095,2006) .
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Frequently Asked Questions on HCF of 5095, 2006 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 5095, 2006?
Answer: HCF of 5095, 2006 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5095, 2006 using Euclid's Algorithm?
Answer: For arbitrary numbers 5095, 2006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.