Highest Common Factor of 6367, 7613 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 6367, 7613 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6367, 7613 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 6367, 7613 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 6367, 7613 is 1.
HCF(6367, 7613) = 1
HCF of 6367, 7613 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6367, 7613 is 1.
Highest Common Factor of 6367,7613 is 1
Step 1: Since 7613 > 6367, we apply the division lemma to 7613 and 6367, to get
7613 = 6367 x 1 + 1246
Step 2: Since the reminder 6367 ≠ 0, we apply division lemma to 1246 and 6367, to get
6367 = 1246 x 5 + 137
Step 3: We consider the new divisor 1246 and the new remainder 137, and apply the division lemma to get
1246 = 137 x 9 + 13
We consider the new divisor 137 and the new remainder 13,and apply the division lemma to get
137 = 13 x 10 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6367 and 7613 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(137,13) = HCF(1246,137) = HCF(6367,1246) = HCF(7613,6367) .
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Frequently Asked Questions on HCF of 6367, 7613 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 6367, 7613?
Answer: HCF of 6367, 7613 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6367, 7613 using Euclid's Algorithm?
Answer: For arbitrary numbers 6367, 7613 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.