Highest Common Factor of 2706, 5080 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 2706, 5080 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2706, 5080 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 2706, 5080 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 2706, 5080 is 2.
HCF(2706, 5080) = 2
HCF of 2706, 5080 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2706, 5080 is 2.
Highest Common Factor of 2706,5080 is 2
Step 1: Since 5080 > 2706, we apply the division lemma to 5080 and 2706, to get
5080 = 2706 x 1 + 2374
Step 2: Since the reminder 2706 ≠ 0, we apply division lemma to 2374 and 2706, to get
2706 = 2374 x 1 + 332
Step 3: We consider the new divisor 2374 and the new remainder 332, and apply the division lemma to get
2374 = 332 x 7 + 50
We consider the new divisor 332 and the new remainder 50,and apply the division lemma to get
332 = 50 x 6 + 32
We consider the new divisor 50 and the new remainder 32,and apply the division lemma to get
50 = 32 x 1 + 18
We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get
32 = 18 x 1 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 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 2706 and 5080 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(50,32) = HCF(332,50) = HCF(2374,332) = HCF(2706,2374) = HCF(5080,2706) .
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Frequently Asked Questions on HCF of 2706, 5080 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 2706, 5080?
Answer: HCF of 2706, 5080 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2706, 5080 using Euclid's Algorithm?
Answer: For arbitrary numbers 2706, 5080 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.