Highest Common Factor of 307, 809 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 307, 809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 307, 809 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 307, 809 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 307, 809 is 1.
HCF(307, 809) = 1
HCF of 307, 809 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 307, 809 is 1.
Highest Common Factor of 307,809 is 1
Step 1: Since 809 > 307, we apply the division lemma to 809 and 307, to get
809 = 307 x 2 + 195
Step 2: Since the reminder 307 ≠ 0, we apply division lemma to 195 and 307, to get
307 = 195 x 1 + 112
Step 3: We consider the new divisor 195 and the new remainder 112, and apply the division lemma to get
195 = 112 x 1 + 83
We consider the new divisor 112 and the new remainder 83,and apply the division lemma to get
112 = 83 x 1 + 29
We consider the new divisor 83 and the new remainder 29,and apply the division lemma to get
83 = 29 x 2 + 25
We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get
29 = 25 x 1 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 307 and 809 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(83,29) = HCF(112,83) = HCF(195,112) = HCF(307,195) = HCF(809,307) .
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Frequently Asked Questions on HCF of 307, 809 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 307, 809?
Answer: HCF of 307, 809 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 307, 809 using Euclid's Algorithm?
Answer: For arbitrary numbers 307, 809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.