Highest Common Factor of 724, 9393, 9874 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 724, 9393, 9874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 724, 9393, 9874 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 724, 9393, 9874 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 724, 9393, 9874 is 1.
HCF(724, 9393, 9874) = 1
HCF of 724, 9393, 9874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 724, 9393, 9874 is 1.
Highest Common Factor of 724,9393,9874 is 1
Step 1: Since 9393 > 724, we apply the division lemma to 9393 and 724, to get
9393 = 724 x 12 + 705
Step 2: Since the reminder 724 ≠ 0, we apply division lemma to 705 and 724, to get
724 = 705 x 1 + 19
Step 3: We consider the new divisor 705 and the new remainder 19, and apply the division lemma to get
705 = 19 x 37 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 724 and 9393 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(705,19) = HCF(724,705) = HCF(9393,724) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9874 > 1, we apply the division lemma to 9874 and 1, to get
9874 = 1 x 9874 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9874 is 1
Notice that 1 = HCF(9874,1) .
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Frequently Asked Questions on HCF of 724, 9393, 9874 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 724, 9393, 9874?
Answer: HCF of 724, 9393, 9874 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 724, 9393, 9874 using Euclid's Algorithm?
Answer: For arbitrary numbers 724, 9393, 9874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.