Highest Common Factor of 790, 34613 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, 34613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 34613 is 1 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, 34613 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, 34613 is 1.
HCF(790, 34613) = 1
HCF of 790, 34613 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, 34613 is 1.
Highest Common Factor of 790,34613 is 1
Step 1: Since 34613 > 790, we apply the division lemma to 34613 and 790, to get
34613 = 790 x 43 + 643
Step 2: Since the reminder 790 ≠ 0, we apply division lemma to 643 and 790, to get
790 = 643 x 1 + 147
Step 3: We consider the new divisor 643 and the new remainder 147, and apply the division lemma to get
643 = 147 x 4 + 55
We consider the new divisor 147 and the new remainder 55,and apply the division lemma to get
147 = 55 x 2 + 37
We consider the new divisor 55 and the new remainder 37,and apply the division lemma to get
55 = 37 x 1 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 790 and 34613 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(55,37) = HCF(147,55) = HCF(643,147) = HCF(790,643) = HCF(34613,790) .
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Frequently Asked Questions on HCF of 790, 34613 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, 34613?
Answer: HCF of 790, 34613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 34613 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 34613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.