Highest Common Factor of 2702, 5002 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 2702, 5002 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2702, 5002 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 2702, 5002 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 2702, 5002 is 2.
HCF(2702, 5002) = 2
HCF of 2702, 5002 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2702, 5002 is 2.
Highest Common Factor of 2702,5002 is 2
Step 1: Since 5002 > 2702, we apply the division lemma to 5002 and 2702, to get
5002 = 2702 x 1 + 2300
Step 2: Since the reminder 2702 ≠ 0, we apply division lemma to 2300 and 2702, to get
2702 = 2300 x 1 + 402
Step 3: We consider the new divisor 2300 and the new remainder 402, and apply the division lemma to get
2300 = 402 x 5 + 290
We consider the new divisor 402 and the new remainder 290,and apply the division lemma to get
402 = 290 x 1 + 112
We consider the new divisor 290 and the new remainder 112,and apply the division lemma to get
290 = 112 x 2 + 66
We consider the new divisor 112 and the new remainder 66,and apply the division lemma to get
112 = 66 x 1 + 46
We consider the new divisor 66 and the new remainder 46,and apply the division lemma to get
66 = 46 x 1 + 20
We consider the new divisor 46 and the new remainder 20,and apply the division lemma to get
46 = 20 x 2 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2702 and 5002 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(46,20) = HCF(66,46) = HCF(112,66) = HCF(290,112) = HCF(402,290) = HCF(2300,402) = HCF(2702,2300) = HCF(5002,2702) .
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Frequently Asked Questions on HCF of 2702, 5002 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 2702, 5002?
Answer: HCF of 2702, 5002 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2702, 5002 using Euclid's Algorithm?
Answer: For arbitrary numbers 2702, 5002 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.