Highest Common Factor of 7521, 5677 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 7521, 5677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7521, 5677 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 7521, 5677 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 7521, 5677 is 1.
HCF(7521, 5677) = 1
HCF of 7521, 5677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7521, 5677 is 1.
Highest Common Factor of 7521,5677 is 1
Step 1: Since 7521 > 5677, we apply the division lemma to 7521 and 5677, to get
7521 = 5677 x 1 + 1844
Step 2: Since the reminder 5677 ≠ 0, we apply division lemma to 1844 and 5677, to get
5677 = 1844 x 3 + 145
Step 3: We consider the new divisor 1844 and the new remainder 145, and apply the division lemma to get
1844 = 145 x 12 + 104
We consider the new divisor 145 and the new remainder 104,and apply the division lemma to get
145 = 104 x 1 + 41
We consider the new divisor 104 and the new remainder 41,and apply the division lemma to get
104 = 41 x 2 + 22
We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get
41 = 22 x 1 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 7521 and 5677 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(104,41) = HCF(145,104) = HCF(1844,145) = HCF(5677,1844) = HCF(7521,5677) .
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Frequently Asked Questions on HCF of 7521, 5677 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 7521, 5677?
Answer: HCF of 7521, 5677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7521, 5677 using Euclid's Algorithm?
Answer: For arbitrary numbers 7521, 5677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.