Highest Common Factor of 6313, 9104 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 6313, 9104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6313, 9104 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 6313, 9104 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 6313, 9104 is 1.
HCF(6313, 9104) = 1
HCF of 6313, 9104 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6313, 9104 is 1.
Highest Common Factor of 6313,9104 is 1
Step 1: Since 9104 > 6313, we apply the division lemma to 9104 and 6313, to get
9104 = 6313 x 1 + 2791
Step 2: Since the reminder 6313 ≠ 0, we apply division lemma to 2791 and 6313, to get
6313 = 2791 x 2 + 731
Step 3: We consider the new divisor 2791 and the new remainder 731, and apply the division lemma to get
2791 = 731 x 3 + 598
We consider the new divisor 731 and the new remainder 598,and apply the division lemma to get
731 = 598 x 1 + 133
We consider the new divisor 598 and the new remainder 133,and apply the division lemma to get
598 = 133 x 4 + 66
We consider the new divisor 133 and the new remainder 66,and apply the division lemma to get
133 = 66 x 2 + 1
We consider the new divisor 66 and the new remainder 1,and apply the division lemma to get
66 = 1 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6313 and 9104 is 1
Notice that 1 = HCF(66,1) = HCF(133,66) = HCF(598,133) = HCF(731,598) = HCF(2791,731) = HCF(6313,2791) = HCF(9104,6313) .
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Frequently Asked Questions on HCF of 6313, 9104 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 6313, 9104?
Answer: HCF of 6313, 9104 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6313, 9104 using Euclid's Algorithm?
Answer: For arbitrary numbers 6313, 9104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.