Highest Common Factor of 9307, 5628 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 9307, 5628 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9307, 5628 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 9307, 5628 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 9307, 5628 is 1.
HCF(9307, 5628) = 1
HCF of 9307, 5628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9307, 5628 is 1.
Highest Common Factor of 9307,5628 is 1
Step 1: Since 9307 > 5628, we apply the division lemma to 9307 and 5628, to get
9307 = 5628 x 1 + 3679
Step 2: Since the reminder 5628 ≠ 0, we apply division lemma to 3679 and 5628, to get
5628 = 3679 x 1 + 1949
Step 3: We consider the new divisor 3679 and the new remainder 1949, and apply the division lemma to get
3679 = 1949 x 1 + 1730
We consider the new divisor 1949 and the new remainder 1730,and apply the division lemma to get
1949 = 1730 x 1 + 219
We consider the new divisor 1730 and the new remainder 219,and apply the division lemma to get
1730 = 219 x 7 + 197
We consider the new divisor 219 and the new remainder 197,and apply the division lemma to get
219 = 197 x 1 + 22
We consider the new divisor 197 and the new remainder 22,and apply the division lemma to get
197 = 22 x 8 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9307 and 5628 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(197,22) = HCF(219,197) = HCF(1730,219) = HCF(1949,1730) = HCF(3679,1949) = HCF(5628,3679) = HCF(9307,5628) .
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Frequently Asked Questions on HCF of 9307, 5628 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 9307, 5628?
Answer: HCF of 9307, 5628 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9307, 5628 using Euclid's Algorithm?
Answer: For arbitrary numbers 9307, 5628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.