Highest Common Factor of 9393, 688 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 9393, 688 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9393, 688 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 9393, 688 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 9393, 688 is 1.
HCF(9393, 688) = 1
HCF of 9393, 688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9393, 688 is 1.
Highest Common Factor of 9393,688 is 1
Step 1: Since 9393 > 688, we apply the division lemma to 9393 and 688, to get
9393 = 688 x 13 + 449
Step 2: Since the reminder 688 ≠ 0, we apply division lemma to 449 and 688, to get
688 = 449 x 1 + 239
Step 3: We consider the new divisor 449 and the new remainder 239, and apply the division lemma to get
449 = 239 x 1 + 210
We consider the new divisor 239 and the new remainder 210,and apply the division lemma to get
239 = 210 x 1 + 29
We consider the new divisor 210 and the new remainder 29,and apply the division lemma to get
210 = 29 x 7 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9393 and 688 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(210,29) = HCF(239,210) = HCF(449,239) = HCF(688,449) = HCF(9393,688) .
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Frequently Asked Questions on HCF of 9393, 688 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 9393, 688?
Answer: HCF of 9393, 688 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9393, 688 using Euclid's Algorithm?
Answer: For arbitrary numbers 9393, 688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.