Highest Common Factor of 426, 766, 800 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 426, 766, 800 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 426, 766, 800 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 426, 766, 800 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 426, 766, 800 is 2.
HCF(426, 766, 800) = 2
HCF of 426, 766, 800 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 426, 766, 800 is 2.
Highest Common Factor of 426,766,800 is 2
Step 1: Since 766 > 426, we apply the division lemma to 766 and 426, to get
766 = 426 x 1 + 340
Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 340 and 426, to get
426 = 340 x 1 + 86
Step 3: We consider the new divisor 340 and the new remainder 86, and apply the division lemma to get
340 = 86 x 3 + 82
We consider the new divisor 86 and the new remainder 82,and apply the division lemma to get
86 = 82 x 1 + 4
We consider the new divisor 82 and the new remainder 4,and apply the division lemma to get
82 = 4 x 20 + 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 426 and 766 is 2
Notice that 2 = HCF(4,2) = HCF(82,4) = HCF(86,82) = HCF(340,86) = HCF(426,340) = HCF(766,426) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 800 > 2, we apply the division lemma to 800 and 2, to get
800 = 2 x 400 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 800 is 2
Notice that 2 = HCF(800,2) .
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Frequently Asked Questions on HCF of 426, 766, 800 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 426, 766, 800?
Answer: HCF of 426, 766, 800 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 426, 766, 800 using Euclid's Algorithm?
Answer: For arbitrary numbers 426, 766, 800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.