Highest Common Factor of 793, 7909 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 793, 7909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 793, 7909 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 793, 7909 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 793, 7909 is 1.
HCF(793, 7909) = 1
HCF of 793, 7909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 793, 7909 is 1.
Highest Common Factor of 793,7909 is 1
Step 1: Since 7909 > 793, we apply the division lemma to 7909 and 793, to get
7909 = 793 x 9 + 772
Step 2: Since the reminder 793 ≠ 0, we apply division lemma to 772 and 793, to get
793 = 772 x 1 + 21
Step 3: We consider the new divisor 772 and the new remainder 21, and apply the division lemma to get
772 = 21 x 36 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 793 and 7909 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(772,21) = HCF(793,772) = HCF(7909,793) .
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Frequently Asked Questions on HCF of 793, 7909 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 793, 7909?
Answer: HCF of 793, 7909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 793, 7909 using Euclid's Algorithm?
Answer: For arbitrary numbers 793, 7909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.