Highest Common Factor of 806, 2730, 1426 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 806, 2730, 1426 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 806, 2730, 1426 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 806, 2730, 1426 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 806, 2730, 1426 is 2.
HCF(806, 2730, 1426) = 2
HCF of 806, 2730, 1426 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 806, 2730, 1426 is 2.
Highest Common Factor of 806,2730,1426 is 2
Step 1: Since 2730 > 806, we apply the division lemma to 2730 and 806, to get
2730 = 806 x 3 + 312
Step 2: Since the reminder 806 ≠ 0, we apply division lemma to 312 and 806, to get
806 = 312 x 2 + 182
Step 3: We consider the new divisor 312 and the new remainder 182, and apply the division lemma to get
312 = 182 x 1 + 130
We consider the new divisor 182 and the new remainder 130,and apply the division lemma to get
182 = 130 x 1 + 52
We consider the new divisor 130 and the new remainder 52,and apply the division lemma to get
130 = 52 x 2 + 26
We consider the new divisor 52 and the new remainder 26,and apply the division lemma to get
52 = 26 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 806 and 2730 is 26
Notice that 26 = HCF(52,26) = HCF(130,52) = HCF(182,130) = HCF(312,182) = HCF(806,312) = HCF(2730,806) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1426 > 26, we apply the division lemma to 1426 and 26, to get
1426 = 26 x 54 + 22
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 22 and 26, to get
26 = 22 x 1 + 4
Step 3: We consider the new divisor 22 and the new remainder 4, and apply the division lemma to get
22 = 4 x 5 + 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 26 and 1426 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(1426,26) .
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Frequently Asked Questions on HCF of 806, 2730, 1426 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 806, 2730, 1426?
Answer: HCF of 806, 2730, 1426 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 806, 2730, 1426 using Euclid's Algorithm?
Answer: For arbitrary numbers 806, 2730, 1426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
