Highest Common Factor of 7513, 4787 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 7513, 4787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7513, 4787 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 7513, 4787 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 7513, 4787 is 1.
HCF(7513, 4787) = 1
HCF of 7513, 4787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7513, 4787 is 1.
Highest Common Factor of 7513,4787 is 1
Step 1: Since 7513 > 4787, we apply the division lemma to 7513 and 4787, to get
7513 = 4787 x 1 + 2726
Step 2: Since the reminder 4787 ≠ 0, we apply division lemma to 2726 and 4787, to get
4787 = 2726 x 1 + 2061
Step 3: We consider the new divisor 2726 and the new remainder 2061, and apply the division lemma to get
2726 = 2061 x 1 + 665
We consider the new divisor 2061 and the new remainder 665,and apply the division lemma to get
2061 = 665 x 3 + 66
We consider the new divisor 665 and the new remainder 66,and apply the division lemma to get
665 = 66 x 10 + 5
We consider the new divisor 66 and the new remainder 5,and apply the division lemma to get
66 = 5 x 13 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7513 and 4787 is 1
Notice that 1 = HCF(5,1) = HCF(66,5) = HCF(665,66) = HCF(2061,665) = HCF(2726,2061) = HCF(4787,2726) = HCF(7513,4787) .
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Frequently Asked Questions on HCF of 7513, 4787 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 7513, 4787?
Answer: HCF of 7513, 4787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7513, 4787 using Euclid's Algorithm?
Answer: For arbitrary numbers 7513, 4787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.