Highest Common Factor of 790, 71756 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 790, 71756 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 71756 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 790, 71756 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 790, 71756 is 2.
HCF(790, 71756) = 2
HCF of 790, 71756 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 790, 71756 is 2.
Highest Common Factor of 790,71756 is 2
Step 1: Since 71756 > 790, we apply the division lemma to 71756 and 790, to get
71756 = 790 x 90 + 656
Step 2: Since the reminder 790 ≠ 0, we apply division lemma to 656 and 790, to get
790 = 656 x 1 + 134
Step 3: We consider the new divisor 656 and the new remainder 134, and apply the division lemma to get
656 = 134 x 4 + 120
We consider the new divisor 134 and the new remainder 120,and apply the division lemma to get
134 = 120 x 1 + 14
We consider the new divisor 120 and the new remainder 14,and apply the division lemma to get
120 = 14 x 8 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 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 790 and 71756 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(120,14) = HCF(134,120) = HCF(656,134) = HCF(790,656) = HCF(71756,790) .
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Frequently Asked Questions on HCF of 790, 71756 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 790, 71756?
Answer: HCF of 790, 71756 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 71756 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 71756 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.