Highest Common Factor of 4976, 7313 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 4976, 7313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4976, 7313 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 4976, 7313 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 4976, 7313 is 1.
HCF(4976, 7313) = 1
HCF of 4976, 7313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4976, 7313 is 1.
Highest Common Factor of 4976,7313 is 1
Step 1: Since 7313 > 4976, we apply the division lemma to 7313 and 4976, to get
7313 = 4976 x 1 + 2337
Step 2: Since the reminder 4976 ≠ 0, we apply division lemma to 2337 and 4976, to get
4976 = 2337 x 2 + 302
Step 3: We consider the new divisor 2337 and the new remainder 302, and apply the division lemma to get
2337 = 302 x 7 + 223
We consider the new divisor 302 and the new remainder 223,and apply the division lemma to get
302 = 223 x 1 + 79
We consider the new divisor 223 and the new remainder 79,and apply the division lemma to get
223 = 79 x 2 + 65
We consider the new divisor 79 and the new remainder 65,and apply the division lemma to get
79 = 65 x 1 + 14
We consider the new divisor 65 and the new remainder 14,and apply the division lemma to get
65 = 14 x 4 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 4976 and 7313 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(65,14) = HCF(79,65) = HCF(223,79) = HCF(302,223) = HCF(2337,302) = HCF(4976,2337) = HCF(7313,4976) .
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Frequently Asked Questions on HCF of 4976, 7313 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 4976, 7313?
Answer: HCF of 4976, 7313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4976, 7313 using Euclid's Algorithm?
Answer: For arbitrary numbers 4976, 7313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.