Highest Common Factor of 6313, 2273 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, 2273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6313, 2273 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, 2273 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, 2273 is 1.
HCF(6313, 2273) = 1
HCF of 6313, 2273 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, 2273 is 1.
Highest Common Factor of 6313,2273 is 1
Step 1: Since 6313 > 2273, we apply the division lemma to 6313 and 2273, to get
6313 = 2273 x 2 + 1767
Step 2: Since the reminder 2273 ≠ 0, we apply division lemma to 1767 and 2273, to get
2273 = 1767 x 1 + 506
Step 3: We consider the new divisor 1767 and the new remainder 506, and apply the division lemma to get
1767 = 506 x 3 + 249
We consider the new divisor 506 and the new remainder 249,and apply the division lemma to get
506 = 249 x 2 + 8
We consider the new divisor 249 and the new remainder 8,and apply the division lemma to get
249 = 8 x 31 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6313 and 2273 is 1
Notice that 1 = HCF(8,1) = HCF(249,8) = HCF(506,249) = HCF(1767,506) = HCF(2273,1767) = HCF(6313,2273) .
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Frequently Asked Questions on HCF of 6313, 2273 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, 2273?
Answer: HCF of 6313, 2273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6313, 2273 using Euclid's Algorithm?
Answer: For arbitrary numbers 6313, 2273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.