Highest Common Factor of 9313, 5764 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 9313, 5764 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9313, 5764 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 9313, 5764 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 9313, 5764 is 1.
HCF(9313, 5764) = 1
HCF of 9313, 5764 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9313, 5764 is 1.
Highest Common Factor of 9313,5764 is 1
Step 1: Since 9313 > 5764, we apply the division lemma to 9313 and 5764, to get
9313 = 5764 x 1 + 3549
Step 2: Since the reminder 5764 ≠ 0, we apply division lemma to 3549 and 5764, to get
5764 = 3549 x 1 + 2215
Step 3: We consider the new divisor 3549 and the new remainder 2215, and apply the division lemma to get
3549 = 2215 x 1 + 1334
We consider the new divisor 2215 and the new remainder 1334,and apply the division lemma to get
2215 = 1334 x 1 + 881
We consider the new divisor 1334 and the new remainder 881,and apply the division lemma to get
1334 = 881 x 1 + 453
We consider the new divisor 881 and the new remainder 453,and apply the division lemma to get
881 = 453 x 1 + 428
We consider the new divisor 453 and the new remainder 428,and apply the division lemma to get
453 = 428 x 1 + 25
We consider the new divisor 428 and the new remainder 25,and apply the division lemma to get
428 = 25 x 17 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9313 and 5764 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(428,25) = HCF(453,428) = HCF(881,453) = HCF(1334,881) = HCF(2215,1334) = HCF(3549,2215) = HCF(5764,3549) = HCF(9313,5764) .
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Frequently Asked Questions on HCF of 9313, 5764 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 9313, 5764?
Answer: HCF of 9313, 5764 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9313, 5764 using Euclid's Algorithm?
Answer: For arbitrary numbers 9313, 5764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
