Highest Common Factor of 2002, 2759 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 2002, 2759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2002, 2759 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 2002, 2759 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 2002, 2759 is 1.
HCF(2002, 2759) = 1
HCF of 2002, 2759 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2002, 2759 is 1.
Highest Common Factor of 2002,2759 is 1
Step 1: Since 2759 > 2002, we apply the division lemma to 2759 and 2002, to get
2759 = 2002 x 1 + 757
Step 2: Since the reminder 2002 ≠ 0, we apply division lemma to 757 and 2002, to get
2002 = 757 x 2 + 488
Step 3: We consider the new divisor 757 and the new remainder 488, and apply the division lemma to get
757 = 488 x 1 + 269
We consider the new divisor 488 and the new remainder 269,and apply the division lemma to get
488 = 269 x 1 + 219
We consider the new divisor 269 and the new remainder 219,and apply the division lemma to get
269 = 219 x 1 + 50
We consider the new divisor 219 and the new remainder 50,and apply the division lemma to get
219 = 50 x 4 + 19
We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get
50 = 19 x 2 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 2002 and 2759 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(219,50) = HCF(269,219) = HCF(488,269) = HCF(757,488) = HCF(2002,757) = HCF(2759,2002) .
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Frequently Asked Questions on HCF of 2002, 2759 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 2002, 2759?
Answer: HCF of 2002, 2759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2002, 2759 using Euclid's Algorithm?
Answer: For arbitrary numbers 2002, 2759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.